%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.44", %%% date = "12 October 2024", %%% time = "16:55:33 MDT", %%% filename = "mathcomp1990.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "35077 37283 145249 1504304", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Mathematics of %%% Computation, Mathematical Tables and Aids %%% to Computation, Mathematical Tables and %%% Other Aids to Computation", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications for the decade 1990--1999 in %%% the American Mathematical Society journal %%% Mathematics of Computation (ISSN 0025-5718 %%% (print), ISSN 1088-6842 (electronic), CODEN %%% MCMPAF), which began publishing in January %%% 1960, as the successor to Mathematical %%% Tables and Other Aids to Computation (ISSN %%% 0891-6837, CODEN MTTCAS) (October 1943 -- %%% December 1959), which in turn succeeded %%% Mathematical Tables and Aids to Computation %%% (January 1943 -- July 1943). %%% %%% At version 2.00, the large number of %%% publications in these journals required the %%% splitting of the original file, %%% mathcomp.bib, into decade-specific files, %%% mathcomp19xy.bib, and the withdrawal of the %%% mathcomp.* files. %%% %%% The journal has a World-Wide Web site at %%% %%% http://www.ams.org/mcom/ %%% %%% It provides tables of contents data for %%% 1996--date. %%% %%% There is also complete coverage of all %%% journal issues with full text available to %%% members of subscribing institutions in the %%% JSTOR archive at %%% %%% http://www.jstor.org/journals/08916837.html %%% %%% At version 2.44, the year coverage looked %%% like this: %%% %%% 1989 ( 1) 2000 ( 0) 2011 ( 1) %%% 1990 ( 106) 2001 ( 0) 2012 ( 0) %%% 1991 ( 104) 2002 ( 0) 2013 ( 0) %%% 1992 ( 122) 2003 ( 0) 2014 ( 0) %%% 1993 ( 132) 2004 ( 0) 2015 ( 0) %%% 1994 ( 180) 2005 ( 1) 2016 ( 0) %%% 1995 ( 141) 2006 ( 0) 2017 ( 0) %%% 1996 ( 165) 2007 ( 0) 2018 ( 0) %%% 1997 ( 147) 2008 ( 0) 2019 ( 0) %%% 1998 ( 123) 2009 ( 0) 2020 ( 0) %%% 1999 ( 110) 2010 ( 0) 2021 ( 1) %%% %%% Article: 1271 %%% Book: 1 %%% InProceedings: 61 %%% Proceedings: 1 %%% %%% Total entries: 1334 %%% %%% This journal is unusual in that issue %%% numbers increase uniformly, without a fixed %%% number of issues per volume. Early volumes %%% did not assign months, but by the 1960s, %%% each issue included a month, although the %%% publication month appears to be irregular. %%% Regrettably, the MathSciNet database, which %%% supplied the data for many of the entries %%% below, does not record month data. %%% %%% The final pages of each issue are devoted %%% to reviews, and brief (sometimes only a few %%% lines) communications about errata in %%% published mathematical tables. In some, %%% the author is identified, but in others, %%% only author initials are supplied. %%% Bibliographic data for this end matter %%% appears to be somewhat unreliably recorded %%% in journal databases, even in the %%% publisher's own MathSciNet database. %%% %%% Data for the bibliography has been %%% collected from the OCLC Contents1st %%% database, from the bibliographies in the %%% TeX User Group collection, from %%% bibliographies in the author's personal %%% files, from the IEEE INSPEC CD ROM %%% databases (1989--Sep 1996), and from the %%% computer science bibliography collection on %%% ftp.ira.uka.de in /pub/bibliography to %%% which many people of have contributed. The %%% snapshot of this collection was taken on %%% 5-May-1994, and it consists of 441 BibTeX %%% files, 2,672,675 lines, 205,289 entries, %%% and 6,375 String{} abbreviations, %%% occupying 94.8MB of disk space. %%% %%% For version 2.00, data from the JSTOR %%% database was merged in. This database %%% provides complete page images of the entire %%% journal, and allows full-text searching into %%% OCR text derived from the page images. %%% %%% From version 2.06, data from the journal %%% Web site is also merged in. %%% %%% Mathematical markup, which is required %%% extensively in this journal, was evidently %%% added by hand. The result is that there are %%% frequent discrepancies between the MathSciNet %%% and JSTOR titles; when these did not appear %%% to be typographically similar, the original %%% journal pages were consulted, and generally %%% given preference. Also, JSTOR markup is %%% generally in LaTeX2e form, while the %%% MathSciNet markup is in plain TeX form, and %%% often includes typographically niceties like %%% thin spaces, which the JSTOR markup omits. %%% %%% The JSTOR author and title data is often %%% missing accents; sometimes these accents %%% appeared in the original journal text, and %%% sometimes not. MathSciNet has the practice %%% of supplying accents, particularly in %%% personal names, even when they are missing %%% from the original publication. Since the %%% loss of accents in the latter sometimes %%% reflected technological limitations in the %%% journal typesetting, and since the accents %%% are essential in the languages from which %%% those personal names came, I have followed %%% the MathSciNet convention, and provided %%% accents were possible. Nevertheless, since %%% it is not feasible for me to check every %%% journal title page, and MathSciNet covers %%% only about half the publications in this %%% journal, some accents surely still remain %%% missing. %%% %%% Although the JSTOR author and title data may %%% have been derived from the OCR text of the %%% journal pages, the need for extensive %%% mathematical markup appears to have %%% introduced many other errors. Whenever a %%% discrepancy between JSTOR and MathSciNet was %%% detected, the original journal title pages %%% were consulted. %%% %%% Finally, MathSciNet has a practice of %%% including additional information, such as %%% journal citation and MRnumber data, in titles %%% that comment on other articles, or for %%% articles that are accompanied by supplements. %%% Since this additional information is helpful, %%% I have retained it, even though it does not %%% appear in the original title. In retrospect, %%% I probably should have introduced a separate %%% MRtitle key/value pair to distinguish between %%% them, but the effort to merge in the JSTOR %%% data has exhausted me. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted in %%% publication order, using ``bibsort -byvolume''. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %%% \ocirc is a ring-on-top accent @Preamble{"\input bibnames.sty" # "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi" # "\ifx \undefined \ocirc \def \ocirc #1{{\accent'27#1}}\fi" # "\hyphenation{ Gran-ville Hag-strom Le-Veque Maz-zia Per-th-a-me Rich-ard Schmeiss-er }" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Journal abbreviations: @String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"} @String{j-MATH-COMPUT = "Mathematics of Computation"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} %%% ==================================================================== %%% Bibliography entries. This journal has appeared quarterly since %%% volume 1 in 1943 up to 1980, so missing month information has been %%% supplied according to the following table: %%% %%% Number Month %%% 4n+1 jan %%% 4n+2 apr %%% 4n+3 jul %%% 4n oct %%% %%% From 1980 to 1994, there were two volumes each year. %%% %%% A few entries from years outside the 1990s are included to satisfy %%% cross references. @Article{Morain:1989:DEP, author = "Fran{\c{c}}ois Morain", title = "On the $\operatorname{lcm}$ of the Differences of Eight Primes", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "225--229", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11A07 11Y05)", MRnumber = "92a:11011a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", note = "See corrigenda \cite{Morain:1990:CLD}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. de Math., Limoges Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "8-tuple conjecture; differences; eight primes; lcm; number theory", treatment = "T Theoretical or Mathematical", } @Article{Suri:1990:SCH, author = "Manil Suri", title = "On the Stability and Convergence of Higher-Order Mixed Finite Element Methods for Second-Order Elliptic Problems", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "1--19", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N10)", MRnumber = "90e:65164", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4100 (Numerical analysis)", corpsource = "INRIA, Rocquencourt, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; Brezzi-Douglas-Marini; convergence; convergence of numerical methods; convergence rates; elements; estimates; finite element analysis; higher-order mixed finite element; mesh size; methods; polynomial degree; Raviart--Thomas; second-order elliptic problems; stability estimates", treatment = "T Theoretical or Mathematical", } @Article{Bernardi:1990:CFE, author = "Christine Bernardi and Na{\"i}ma Debit and Yvon Maday", title = "Coupling Finite Element and Spectral Methods: First Results", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "21--39", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "90f:65201", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods)", corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; approximation theory; conditions; element approximation; error analysis; error estimates; finite; finite element; interface; matching; Poisson equation; proof; rectangular domain; spectral discretization; squares", treatment = "T Theoretical or Mathematical", } @Article{Li:1990:ESA, author = "Zi-Cai Li and Rudolf Mathon", title = "Error and Stability Analysis of Boundary Methods for Elliptic Problems with Interfaces", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "41--61", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N10 (65N30)", MRnumber = "90m:65182", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Centre de Recherche Inf. de Montreal Inc., Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic problem; approximate solutions; approximation theory; boundary methods; boundary-elements methods; coefficient matrices; condition numbers; convergence; elliptic problems; error analysis; error norm bounds; interface problem; matrix algebra; numerical experiments; of numerical methods; partitions; stability analysis; subdomains", treatment = "T Theoretical or Mathematical", } @Article{Duran:1990:WIS, author = "Ricardo G. Dur{\'a}n and Ricardo H. Nochetto", title = "Weighted inf-sup condition and pointwise error estimates for the {Stokes} problem", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "63--79", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15 76-08 76D07)", MRnumber = "90f:65203", MRreviewer = "Long An Ying", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods)", corpsource = "Dept. de Matematica, La Plata Univ., Argentina", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; Babu{\v{s}}ka--Brezzi condition; condition; convergence; convergence of numerical methods; discrete spaces; energy norm; error analysis; finite element analysis; finite element approximations; fluid dynamics; Hood finite element; maximum norm; mixed; primitive; quasi-optimal pointwise error estimates; Stokes problem; Taylor-; variables; weighted inf-sup", treatment = "T Theoretical or Mathematical", } @Article{Richter:1990:FEM, author = "Gerard R. Richter", title = "A Finite Element Method for Time-Dependent Convection-Diffusion Equations", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "81--106", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76Rxx)", MRnumber = "90g:65152", MRreviewer = "Manfred Dobrowolski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4725Q (Convection and heat transfer); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convection; diffusion; equations; error analysis; error estimates; explicit; finite element analysis; finite element method; hyperbolic equations; limit of zero; piecewise polynomials; time-dependent convection-diffusion", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1990:CSC, author = "Claes Johnson and Anders Szepessy and Peter Hansbo", title = "On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "107--129", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (35L65 76L05)", MRnumber = "90j:65118", MRreviewer = "Alain Yves le Roux", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4725Q (Convection and heat transfer); A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "Dept. of Math., Goteborg Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absolute value; analysis; artificial viscosity; Burgers equation; compressible Euler equations; convergence; convergence of numerical methods; convergence theorems; diffusion; entropy inequality; entropy variables; finite element; finite element solution; heat transfer; hyperbolic conservation laws; local; maximum norm bound; mesh; proof; rectifiable contour; residual; shock-capturing streamline diffusion finite element methods; size; theorem proving; time-dependent; two dimensions", treatment = "T Theoretical or Mathematical", } @Article{Tsuchiya:1990:NDS, author = "Takuya Tsuchiya", title = "A note on discrete solutions of the {Plateau} problem", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "131--138", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "49Q05 (65E05 65N30)", MRnumber = "91c:49063", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0240 (Geometry, differential geometry, and topology); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; discrete solutions; Plateau problem; topology", treatment = "T Theoretical or Mathematical", } @Article{Yan:1990:CMF, author = "Yi Yan", title = "The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "139--154", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N35 (65R20)", MRnumber = "90g:65155", MRreviewer = "A. Quarteroni", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods)", corpsource = "Center for Comput. Sci., Kentucky Univ., Lexington, KY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic error estimates; boundaries; boundary-elements methods; collocation method; convergence of numerical methods; equivalent; error analysis; first-kind boundary integral equations; Fredholm equation; integral equations; interpolation; interpolation projection; L/sub 2/ norm; piecewise constant trial functions; polygonal; polygonal regions; projection method; second-kind; single layer potential; superconvergence results; uniform mesh", treatment = "T Theoretical or Mathematical", } @Article{Wei:1990:NAI, author = "Yuan Wei and Tang Tao", title = "The Numerical Analysis of Implicit {Runge--Kutta} Methods for a Certain Nonlinear Integro-Differential Equation", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "155--168", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "90i:65251", MRreviewer = "Gheorghe Micula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations); C1120 (Analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Peking Univ., China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; approximation theory; equations; existence; implicit Runge--Kutta methods; integro-differential equation; integro-differential equations; model; nonlinear; numerical analysis; numerical methods; optimal approximation order; Runge--Kutta methods; turbulent diffusion; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Chui:1990:BQF, author = "Charles K. Chui and Tian Xiao He", title = "Bivariate ${C}^1$ quadratic finite elements and vertex splines", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "169--187", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D07 (41A15 41A63 65N30)", MRnumber = "90e:65012", MRreviewer = "Johannes Elschner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); Bezier nets; bivariate; bivariate C/sup 1/ quadratic finite elements; C/sup 1/ quadratic vertex splines; edges; finite element analysis; first partial derivative; interpolation; medians; midpoints; normal derivatives; polygonal; polynomials; quadratic polynomials; region; splines; triangle; triangular cell; values; vector space; vertices", treatment = "T Theoretical or Mathematical", } @Article{Buffoni:1990:NSS, author = "Giuseppe Buffoni", title = "Nonnegative and skew-symmetric perturbations of a matrix with positive inverse", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "189--194", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (15A09 15A12 15A48)", MRnumber = "90g:65038", MRreviewer = "Pradeep Misra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C1110 (Algebra)", corpsource = "ENEA, CREA, La Spezia, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; matrix algebra; non-negative matrix; nonnegative perturbations; nonsingular matrix; positive definite; positive inverse; skew-symmetric perturbations", treatment = "T Theoretical or Mathematical", } @Article{Hasegawa:1990:ABF, author = "Takemitsu Hasegawa and Tatsuo Torii and Hiroshi Sugiura", title = "An Algorithm Based on the {FFT} for a Generalized {Chebyshev} Interpolation", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "195--210", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A55 42A15 65D30 65T20)", MRnumber = "91c:65009", MRreviewer = "V{\'\i}t{\u{e}}zslav Vesel{\'y}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1130 (Integral transforms); C4190 (Other numerical methods)", corpsource = "Fac. of Eng., Fukui Univ., Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; Chebyshev approximation; fast Fourier transforms; FFT; generalized Chebyshev interpolation; interpolation; points; real sequence; sample", treatment = "T Theoretical or Mathematical", } @Article{Madych:1990:MIC, author = "W. R. Madych and S. A. Nelson", title = "Multivariate Interpolation and Conditionally Positive Definite Functions. {II}", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "211--230", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15", MRnumber = "90e:41007", MRreviewer = "L. L. Schumaker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1130 (Integral transforms); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Connecticut Univ., Storrs, CT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conditionally positive definite functions; error analysis; error estimates; Fourier transform; Fourier transforms; interpolation; multiquadrics; multivariate", treatment = "T Theoretical or Mathematical", } @Article{Carnicer:1990:EMP, author = "J. Carnicer and M. Gasca", title = "Evaluation of Multivariate Polynomials and Their Derivatives", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "231--243", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12-04 (68Q20 68Q40 68R10)", MRnumber = "90h:12001", MRreviewer = "F. J. van der Linden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1160 (Combinatorial mathematics); C1110 (Algebra)", corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; derivatives; graph; Horner algorithm; multivariate polynomials; polynomials; trees; trees (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Rahman:1990:QFF, author = "Qazi I. Rahman and Gerhard Schmeisser", title = "Quadrature Formulae and Functions of Exponential Type", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "245--270", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "90g:65028", MRreviewer = "Stephen W. Brady", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C1120 (Analysis)", corpsource = "Dept. of Math. et Stat., Montreal Univ., Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximating series; Boas; convergence; derivatives; equivalent; Euler--Maclaurin formula; existence; exponential functions; improper; infinite intervals; integral; integration; quadrature formulae; Schaeffer; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1990:GNR, author = "Philip Rabinowitz", title = "Generalized Noninterpolatory Rules for {Cauchy} Principal Value Integrals", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "271--279", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "91a:65055", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; Cauchy principal value; convergence of numerical methods; convergence questions; generalised noninterpolatory rules; inner products; integral equations; integrals; weight function", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1990:CSR, author = "Ian H. Sloan and Linda Walsh", title = "A computer search of rank-$2$ lattice rules for multidimensional quadrature", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "281--302", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "91a:65061", MRreviewer = "Hans Strauss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Sch. of Math., New South Wales Univ., Kensington, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer search; integral equations; multidimensional; multidimensional integrals; numerical evaluation; quadrature; rank-2 lattice rules", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1990:LRM, author = "Harald Niederreiter and Ian H. Sloan", title = "Lattice Rules for Multiple Integration and Discrepancy", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "303--312", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (11H06 11K38)", MRnumber = "90f:65036", MRreviewer = "Dumitru Acu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Inst. for Inf. Process., Austrian Acad. of Sci., Vienna, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discrepancy; integral equations; lattice rules; lower bounds; multiple integration; numerical integration; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Berger:1990:ACF, author = "Alan E. Berger", title = "Accurate Calculation of Functions Used in a Model of the Nematic Behavior of Self-Assembling Systems", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "313--330", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (65B10 82A57)", MRnumber = "90j:65037", MRreviewer = "Alan M. Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A6130B (Molecular theories of liquid crystals)", corpsource = "Naval Surface Warfare Center, Silver Spring, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; assembling systems; crystals; double sums; Euler--Maclaurin sum formula; liquid crystal phase transformations; liquid crystalline phase behaviour; nematic behavior; nematic liquid; self-; surfactant solutions", treatment = "T Theoretical or Mathematical", } @Article{Fishman:1990:MCR, author = "George S. Fishman", title = "Multiplicative Congruential Random Number Generators with Modulus $2^\beta$: An Exhaustive Analysis for $\beta \simeq 32$ and a Partial Analysis for $\beta \simeq 48$", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "331--344", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "91e:65012", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR database", URL = "http://www.jstor.org/stable/2008698", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "exhaustive analysis; multiplicative congruential random number generators; optimal maximal; parallel hyperplanes; partial analysis; period multipliers; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Blecksmith:1990:MRI, author = "Richard Blecksmith and John Brillhart and Irving Gerst", title = "On the $\bmod 2$ Reciprocation of Infinite Modular-Part Products and the Parity of Certain Partition Functions", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "345--376", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05A17 (05A30)", MRnumber = "90g:05025", MRreviewer = "Dennis White", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics)", corpsource = "Dept. of Math. Sci., Northern Illinois Univ., DeKalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "graph-theoretic; infinite modular-; interpretation; mathematics computing; mod 2 reciprocation; modular part product; parity; part products; partition functions; single-variable Jacobi triple product", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Borwein:1990:SQE, author = "Peter B. Borwein and Terry A. Loring", title = "Some Questions of {Erd{\H{o}}s} and {Graham} on Numbers of the Form $\sum g_n/2^{g_n}$", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "377--394", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A63 (11-04 11D68 11K16)", MRnumber = "90e:11020", MRreviewer = "W. A. Webb", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Stat. and Comput., Dalhousie Univ., Halifax, NS, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "greedy algorithm; number theory", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1990:IID, author = "Graeme L. Cohen", title = "On an Integer's Infinitary Divisors", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "395--411", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11A05)", MRnumber = "90e:11011", MRreviewer = "Jean-Marie De Koninck", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Sch. of Math. Sci., Univ. of Technol., Sydney, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aliquot sequences; biunitary; divisor; integer infinitary divisor; k-ary divisors; number theory; unitary divisor", treatment = "T Theoretical or Mathematical", } @Article{Edixhoven:1990:ECR, author = "Bas Edixhoven and Arnold {de Groot} and Jaap Top", title = "Elliptic Curves Over the Rationals with Bad Reduction at Only One Prime", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "413--419", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (11D25)", MRnumber = "90g:11068", MRreviewer = "Yurey A. Drakokhrust", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Utrecht Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "additive; bad reduction; elliptic curves; number theory; prime; rationals; reduction", treatment = "T Theoretical or Mathematical", } @Article{Bosma:1990:AM, author = "Wieb Bosma", title = "Approximation by Mediants", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "421--434", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11K50 (11J70)", MRnumber = "90m:11119", MRreviewer = "G. Ramharter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Sydney Univ., NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; continued fraction convergents; distribution; intermediate; mediants; number theory", treatment = "T Theoretical or Mathematical", } @Article{Shoup:1990:NAF, author = "Victor Shoup", title = "New Algorithms for Finding Irreducible Polynomials Over Finite Fields", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "435--447", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T06 (11Y16)", MRnumber = "90j:11135", MRreviewer = "Melvin M. Sweet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "AT\&T Bell Labs., Murray Hill, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; factoring; finite fields; irreducible polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Denert:1990:GZF, author = "M. Denert", title = "The Genus Zeta Function of Hereditary Orders in Central Simple Algebras Over Global Fields", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "449--465", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R54 (16A18)", MRnumber = "90e:11178", MRreviewer = "Juliusz Brzezi{\'n}ski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "State Univ., Ghent, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebras; central simple; Euler product; genus zeta function; global fields; hereditary orders; linear algebra", treatment = "T Theoretical or Mathematical", } @Article{Just:1990:IRA, author = "Bettina Just", title = "Integer Relations Among Algebraic Numbers", journal = j-MATH-COMPUT, volume = "54", number = "189", pages = "467--477", month = jan, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R04 (11Y40 68Q25 68Q40)", MRnumber = "90e:11154", MRreviewer = "A. K. Lenstra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0250 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C1160 (Combinatorial mathematics)", corpsource = "Johann Wolfgang Goethe-Univ., Frankfurt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic numbers; Euclidean length; integer relations; minimal polynomial; number theory; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Scott:1990:FEI, author = "L. Ridgway Scott and Shangyou Zhang", title = "Finite element interpolation of nonsmooth functions satisfying boundary conditions", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "483--493", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (65N30)", MRnumber = "90j:65021", MRreviewer = "Qian Li", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290B (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate; approximation; boundary conditions; continuous piecewise polynomials; error analysis; FEM; finite element analysis; function; functions; interpolation; Lagrange type interpolation operator; modified; nonsmooth functions; optimal error estimates; polynomials; projection error; Sobolev spaces", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Stenberg:1990:EAS, author = "Rolf Stenberg", title = "Error analysis of some finite element methods for the {Stokes} problem", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "495--508", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "90h:65189", MRreviewer = "Long An Ying", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "INRIA, Le Chesnay, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2D methods; convergence; convergence of numerical methods; element analysis; elements; error analysis; finite; finite element; macroelement technique; methods; optimal order; partial differential equations; quadrilateral; Stokes equations; Taylor-Hood", treatment = "T Theoretical or Mathematical", } @Article{Chou:1990:CNW, author = "S. H. Chou and Q. Li", title = "Convergence of the nonconforming {Wilson} element for a class of nonlinear parabolic problems", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "509--524", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "90i:65192", MRreviewer = "Ervin Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Bowling Green State Univ., OH, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous time; convergence of numerical methods; convergence properties; differential equations; element analysis; error analysis; error estimates; finite; Galerkin approximations; nonconforming Wilson element; nonlinear differential equations; nonlinear parabolic problems; partial; rectangular meshes; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Wade:1990:SFD, author = "Bruce A. Wade", title = "Symmetrizable Finite Difference Operators", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "525--543", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "90j:65114", MRreviewer = "John C. Strikwerda", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Sci. Inst., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conditions; convergence of numerical methods; difference equations; dissipative difference schemes; equations; hyperbolic; sufficient; symmetrizable finite difference operator", treatment = "T Theoretical or Mathematical", } @Article{Cockburn:1990:RKL, author = "Bernardo Cockburn and Suchung Hou and Chi-Wang Shu", title = "The {Runge--Kutta} local projection discontinuous {Galerkin} finite element method for conservation laws. {IV}. The multidimensional case", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "545--581", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (35L65 65N30)", MRnumber = "90k:65162", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290H (Linear algebra); C4170 (Differential equations); C4140 (Linear algebra)", corpsource = "Sch. of Math., Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2D method; boundary; conditions; conservation laws; finite element analysis; Galerkin finite element method; general triangulations; initial value; initial-boundary value problems; matrix algebra; maximum principles; multidimensional case; numerical results; partial differential equations; performance; problems; Runge--Kutta local projection discontinuous; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Kvaerno:1990:RKM, author = "Anne Kv{\ae}rn{\o}", title = "{Runge--Kutta} methods applied to fully implicit differential-algebraic equations of index $1$", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "583--625", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06", MRnumber = "91g:65177", MRreviewer = "G. Hall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Div. of Math. Sci., Norwegian Inst. of Technol., Trondheim, Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; convergence result; differential equations; equations; error analysis; fully implicit differential-algebraic; general order conditions; global error; numerical experiments; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Bojanov:1990:CBT, author = "Borislav Bojanov and Geno Nikolov", title = "Comparison of {Birkhoff} Type Quadrature Formulae", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "627--648", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A55)", MRnumber = "91e:65034", MRreviewer = "Helmut Brass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290H (Linear algebra); B0290B (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4140 (Linear algebra); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Sofia Univ., Bulgaria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic degree of; Birkhoff type quadrature formulae; error; error analysis; integration; matrix algebra; precision", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1990:LRP, author = "I. H. Sloan and J. N. Lyness", title = "Lattice rules: projection regularity and unique representations", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "649--660", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "91a:65062", MRreviewer = "Hans Strauss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290H (Linear algebra); C4160 (Numerical integration and differentiation); C4140 (Linear algebra)", corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integration; lattice; matrix algebra; numerical integration; projection regularity; rules; unique representations", treatment = "T Theoretical or Mathematical", } @Article{Baur:1990:BAC, author = "Gerhard Baur and Bruce Shawyer", title = "Best {$L^2$}-approximation of convergent moment series", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "661--669", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "40A25 (41A10 65B10)", MRnumber = "90i:40004", MRreviewer = "G{\"u}nther N{\"u}rnberger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0220 (Analysis); C1110 (Algebra); C1120 (Analysis)", corpsource = "Abteilung Math., Ulm Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "all moment; best approximation; convergent moment series; matrix algebra; sequence-to-sequence transformation; series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Elman:1990:IMC, author = "Howard C. Elman and Gene H. Golub", title = "Iterative methods for cyclically reduced non-self-adjoint linear systems", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "671--700", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65N22)", MRnumber = "91b:65036", MRreviewer = "Harry Yserentant", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic bounds; block iterative technique; cell Reynolds numbers; convection-diffusion equation; convergence of numerical methods; cyclically reduced non-self-adjoint linear systems; differential equations; elliptic partial; iterative methods; linear systems; numerical experiments; partial; rapidly-convergent; reordering; spectral radii", treatment = "T Theoretical or Mathematical", } @Article{Bruaset:1990:SRI, author = "A. M. Bruaset and A. Tveito and R. Winther", title = "On the stability of relaxed incomplete ${LU}$ factorizations", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "701--719", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (15A23 65N20)", MRnumber = "90h:65047", MRreviewer = "Stavros A. Belbas", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Inf., Oslo Univ., Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence of numerical methods; elliptic boundary value problems; experiments; iterative; iterative methods; large; linear systems; methods; numerical; partial differential equations; preconditioners; relaxation parameter; relaxed incomplete LU factorizations; stability", treatment = "T Theoretical or Mathematical", } @Article{Rump:1990:RSA, author = "Siegfried M. Rump", title = "Rigorous sensitivity analysis for systems of linear and nonlinear equations", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "721--736", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G10 (65G05 65H10)", MRnumber = "91h:65072", MRreviewer = "Miodrag Petkovi{\'c}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Tech. Univ., Hamburg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "automatic error control mechanism; componentwise sensitivity analysis; convergence of numerical methods; input data; nonlinear equations; numerical; problems; sensitivity analysis; solution vector", treatment = "T Theoretical or Mathematical", } @Article{Andre:1990:FMD, author = "Debra A. Andr{\'e} and Gary L. Mullen and Harald Niederreiter", title = "Figures of merit for digital multistep pseudorandom numbers", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "737--748", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10", MRnumber = "91d:65012", MRreviewer = "Istv{\'a}n D{\'e}ak", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods); C7310 (Mathematics)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characteristic polynomial; digital multistep pseudorandom numbers; figure of merit; independence; polynomials; random number generation; recursion; statistical; statistical independence properties", treatment = "T Theoretical or Mathematical", } @Article{Duijvestijn:1990:SNP, author = "A. J. W. Duijvestijn and B. Helthuis", title = "Some new polyhedra with vertex degree 4 and\slash or 5 only", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "749--753", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "68R10 (05C99)", MRnumber = "90k:68135", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Twente Univ., Enschede, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "ancestor graph; graph theory; low-order wheels; polyhedra; reference graph", treatment = "T Theoretical or Mathematical", } @Article{Wan:1990:FMP, author = "Daqing Wan", title = "Factoring multivariate polynomials over large finite fields", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "755--770", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T06 (12-04 68Q40)", MRnumber = "90i:11141", MRreviewer = "Joachim von zur Gathen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Washington Univ., Seattle, WA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate polynomial; computational complexity; exponential sums; factors; irreducible; large finite fields; permutational polynomials; polynomials; probabilistic algorithm", treatment = "T Theoretical or Mathematical", } @Article{Hanlon:1990:CDB, author = "Phil Hanlon and David Wales", title = "Computing the discriminants of {Brauer}'s centralizer algebras", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "771--796", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20G20 (20C30)", MRnumber = "90k:20076", MRreviewer = "A. O. Morris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); B0250 (Combinatorial mathematics); C4140 (Linear algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "centralizer algebras; combinatorially defined matrices; computational problem; group theory; matrix algebra; representation theory; structure; symmetric groups; symmetry; theory", treatment = "T Theoretical or Mathematical", } @Article{Teitelbaum:1990:CCR, author = "Jeremy Teitelbaum", title = "The computational complexity of the resolution of plane curve singularities", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "797--837", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "14B05 (14-04 14H20 68Q25)", MRnumber = "90j:14007", MRreviewer = "Felipe Cucker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory); C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounded; computational complexity; computational geometry; conductor ideal; deformation theory; k-operations; plane curve; polynomially; polynomials; power series; reduced rings; resolution; series (mathematics); singularities; zero divisors", treatment = "T Theoretical or Mathematical", } @Article{Montgomery:1990:FEF, author = "Peter L. Montgomery and Robert D. Silverman", title = "An {FFT} extension to the ${P}-1$ factoring algorithm", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "839--854", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05", MRnumber = "90j:11142", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); B0290F (Interpolation and function approximation); C4190 (Other numerical methods); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; convolution; elliptic curve; factoring algorithm; fast Fourier transform techniques; fast Fourier transforms; FFT extension; polynomials; residue number systems", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1990:ACR, author = "J. Buchmann and J. W. Sands and H. C. Williams", title = "$p$-Adic Computation of Real Quadratic Class Numbers", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "855--868", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R29)", MRnumber = "90h:11112", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; function approximation; micro VAX II computer; microcomputer applications; p-adic class number formula; real quadratic class numbers", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Berge:1990:CSF, author = "A.-M. Berg{\'e} and J. Martinet and M. Olivier", title = "The computation of sextic fields with a quadratic subfield", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "869--884", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R21 11R29)", MRnumber = "90k:11169", MRreviewer = "Joe P. Buhler", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "CeReMaB, Talence, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational geometry; cubic polynomial; Galois closure; Galois group; group theory; polynomials; quadratic extension; quadratic subfield; sextic fields", treatment = "T Theoretical or Mathematical", } @Article{Delmer:1990:CWP, author = "Francine Delmer and Jean-Marc Deshouillers", title = "On the Computation of $g(k)$ in {Waring}'s Problem", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "885--893", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P05 (11J25 11Y16)", MRnumber = "90i:11109", MRreviewer = "Herman J. J. te Riele", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory); C1160 (Combinatorial mathematics)", corpsource = "CNRS, Bordeaux 1 Univ., Talence, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complexity; computational complexity; Diophantine inequality; integral kth powers; natural integers; number theory", treatment = "T Theoretical or Mathematical", } @Article{Coppersmith:1990:FLT, author = "Don Coppersmith", title = "{Fermat}'s last theorem (case $1$) and the {Wieferich} criterion", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "895--902", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D41", MRnumber = "90h:11024", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory); C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computability; number theory; prime exponent; Wieferich criterion", treatment = "T Theoretical or Mathematical", } @Article{Morain:1990:CLD, author = "Fran{\c{c}}ois Morain", title = "Corrigenda: {``On the $\operatorname{lcm}$ of the differences of eight primes'' [Math. Comput. {\bf 52} (1989), no. 185, 225--229]}", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "911--911", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11A07 11Y05)", MRnumber = "92a:11011b", bibdate = "Sat Oct 24 17:17:40 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", note = "See \cite{Morain:1989:DEP}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1990:PMP, author = "James H. Bramble and Joseph E. Pasciak and Jin Chao Xu", title = "Parallel Multilevel Preconditioners", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "1--22", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "90k:65170", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Math/kbmath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abstract theory; approximation theory; boundary-value problems; condition number; differential; discrete systems; equations; full approximation space; nested subspaces; numerical approximation; parallel multilevel preconditioners; problems; symmetric elliptic boundary value", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1990:OONa, author = "Shangyou Zhang", title = "Optimal-order nonnested multigrid methods for solving finite element equations. {I}. On quasi-uniform meshes", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "23--36", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65F10 65N30)", MRnumber = "91g:65268", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coarse-level correction; computational order; error; fine-level smoothing; finite element analysis; finite element equations; iterative; iterative methods; low-frequency components; meshes; multigrid method; optimal; optimal order nonnested multigrid methods; quasi uniform", treatment = "T Theoretical or Mathematical", } @Article{Kuo:1990:LED, author = "Hung-Ju Kuo and Neil S. Trudinger", title = "Linear elliptic difference inequalities with random coefficients", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "37--53", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N05 (35R60 39A12)", MRnumber = "90m:65176", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C1330 (Optimal control)", corpsource = "Centre For Math. Analysis, Australian Nat. Univ., ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; difference inequalities; linear elliptic; maximum principle; pointwise estimates; random coefficients", treatment = "T Theoretical or Mathematical", } @Article{Estep:1990:BDD, author = "Donald Estep and Michael Loss and Jeffrey Rauch", title = "Boundedness of Dispersive Difference Schemes", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "55--87", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12", MRnumber = "91h:65139", MRreviewer = "R{\'e}mi Vaillancourt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); A0260 (Numerical approximation and analysis)", corpsource = "Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Besov; boundedness; difference equations; dispersive difference; initial value problems; pointwise behavior; schemes; simple wave equation; spaces; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Ying:1990:VSU, author = "Lung-An Ying", title = "Viscous splitting for the unbounded problem of the {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "89--113", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35Q30 (65N99 76D05 76D07)", MRnumber = "91d:35170", MRreviewer = "Howard Swann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0230 (Function theory, analysis)", corpsource = "Dept. of Math., Peking Univ., China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solutions; boundary-value problems; equations; exterior initial-boundary value problems; initial value problems; Navier-; Navier--Stokes; Stokes equations; unbounded problem; viscosity; viscous splitting", treatment = "T Theoretical or Mathematical", } @Article{Han:1990:DBE, author = "Hou De Han", title = "A direct boundary element method for {Signorini} problems", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "115--128", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (49J40 65K05)", MRnumber = "91c:65070", MRreviewer = "Francesco Scarpini", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0230 (Function theory, analysis); B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Appl. Math., Tsinghua Univ., Beijing, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate; boundary-elements methods; direct boundary element method; error estimates; saddle-point problem; Signorini problems; solutions; variational inequality; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Cheer:1990:DDE, author = "A. Y. Cheer and D. A. Goldston", title = "A differential delay equation arising from the sieve of {Eratosthenes}", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "129--141", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N35 (34K05)", MRnumber = "90j:11091", MRreviewer = "H.-E. Richert", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0230 (Function theory, analysis)", corpsource = "Dept. of Math., California Univ., Davis, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic formula; differential delay equation; differential equations; numerical constants; sieve of Eratosthenes", treatment = "T Theoretical or Mathematical", } @Article{Martinez:1990:LCT, author = "Jos{\'e} Mario Mart{\'i}nez", title = "Local convergence theory of inexact {Newton} methods based on structured least change updates", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "143--167", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10 (90C30)", MRnumber = "90m:65108", MRreviewer = "Carl T. Kelley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Appl. Math. Lab., IMECC Univ., Estactual de Campinas, Brazil", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convergence of numerical methods; inexact; iterative; linear iterative subalgorithm; linear methods; local convergence theory; Newton methods; quasi Newton methods; structured least change updates", treatment = "T Theoretical or Mathematical", } @Article{Batterson:1990:RQI, author = "Steve Batterson and John Smillie", title = "{Rayleigh} quotient iteration for nonsymmetric matrices", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "169--178", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15 (58F08 58F12 58F14)", MRnumber = "90j:65056", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Comput. Sci., Emory Univ., Atlanta, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate eigenvectors; bifurcation theory; dynamical; eigenvalues and eigenfunctions; iterative algorithm; iterative methods; nonsymmetric matrices; Rayleigh quotient iteration; systems", treatment = "T Theoretical or Mathematical", } @Article{Pan:1990:CDS, author = "Victor Pan", title = "On Computations with Dense Structured Matrices", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "179--190", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30", MRnumber = "90m:65085", MRreviewer = "Israel Koltracht", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Lehman College, City Univ. of New York, Bronx, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computations; dense structured matrices; Hankel-Toeplitz; Hilbert types; inverses; matrix algebra; type", treatment = "T Theoretical or Mathematical", } @Article{Demetriou:1990:CTD, author = "I. C. Demetriou", title = "A characterization theorem for the discrete best monotonic approximation problem", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "191--195", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15", MRnumber = "91h:65030", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0260 (Optimisation techniques); C4130 (Interpolation and function approximation); C1180 (Optimisation techniques)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation problem; approximation theory; calculation; characterization theorem; convex objective function; discrete best monotonic; discrete nonlinear optimization; optimisation; piecewise monotonic approximations; sequential data values; strictly", treatment = "T Theoretical or Mathematical", } @Article{Criscuolo:1990:CEL, author = "Giuliana Criscuolo and Giuseppe Mastroianni and Donatella Occorsio", title = "Convergence of Extended {Lagrange} Interpolation", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "197--212", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A05)", MRnumber = "91c:65008", MRreviewer = "T. J. Rivlin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Istituto Per Applicazioni Della Matematica, CNR, Napoli, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; interpolation; uniform convergence theorems", treatment = "T Theoretical or Mathematical", } @Article{Criscuolo:1990:CPC, author = "Giuliana Criscuolo and Giuseppe Mastroianni and Giovanni Monegato", title = "Convergence properties of a class of product formulas for weakly singular integral equations", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "213--230", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L05)", MRnumber = "90m:65230", MRreviewer = "P. Uba", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Istituto Per Applicazioni Della Matematica, CNR, Napoli, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; convergence properties; generalized Jacobi; integral equations; interpolation; interpolatory type; polynomials; product formulas; weakly singular", treatment = "T Theoretical or Mathematical", } @Article{Peherstorfer:1990:LCO, author = "Franz Peherstorfer", title = "Linear combinations of orthogonal polynomials generating positive quadrature formulas", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "231--241", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55 42C05)", MRnumber = "90j:65043", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. Fur Math., J. Kepler Univ., Linz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "linear combinations; orthogonal polynomials; poles and zeros; polynomials; positive; positive weights; quadrature formulas; zeros", treatment = "T Theoretical or Mathematical", } @Article{Forster:1990:EWG, author = "Klaus-J{\"u}rgen F{\"o}rster and Knut Petras", title = "On estimates for the weights in {Gaussian} quadrature in the ultraspherical case", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "243--264", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "91d:65043", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Math., Hildesheim Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; asymptotic; Christoffel numbers; elementary; estimates; functions; Gaussian quadrature; monotonicity properties; polynomials; ultraspherical case; weights", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1990:NEC, author = "Philip Rabinowitz", title = "Numerical evaluation of {Cauchy} principal value integrals with singular integrands", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "265--276", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "90m:65051", MRreviewer = "C. Dagnino", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy principal; convergence results; integration rules; interpolatory; numerical evaluation; singular integrands; transforms; value integrals", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1990:LBD, author = "Harald Niederreiter", title = "Lower bounds for the discrepancy of inversive congruential pseudorandom numbers", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "277--287", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "91e:65016", MRreviewer = "R. G. Stoneham", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods); C7310 (Mathematics)", corpsource = "Inst. for Inf. Processing, Austrian Acad. of Sci., Vienna, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "admissible parameters; inversive congruential pseudorandom numbers; lower bounds; random number generation; statistical independence properties", treatment = "T Theoretical or Mathematical", } @Article{Mitchell:1990:EEA, author = "Ricardo A. Mitchell", title = "Error estimates arising from certain pseudorandom sequences in a quasi-random search method", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "289--297", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "91b:65007", MRreviewer = "Kazuo Goto", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., West Indies Univ., Jamaica", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "denseness for; dispersion; error analysis; error estimates; method; number-theoretic results; pseudorandom sequences; quasi-random search; random number generation; sequences", treatment = "T Theoretical or Mathematical", } @Article{Garvan:1990:SPF, author = "Frank Garvan and Dennis Stanton", title = "Sieved partition functions and $q$-binomial coefficients", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "299--311", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P68 (05A19 05A30 11B65)", MRnumber = "90j:11102", MRreviewer = "George E. Andrews", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Math. and Its Applications, Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generating functions; integer; multidimensional theta functions; polynomial; polynomials; q-binomial coefficients; residue class; sieved partition functions", treatment = "T Theoretical or Mathematical", } @Article{Fung:1990:CTC, author = "Gilbert W. Fung and H. C. Williams", title = "On the computation of a table of complex cubic fields with discriminant ${D} > -10^6$", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "313--325", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11Y40)", MRnumber = "90m:11155", MRreviewer = "Joe P. Buhler", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex cubic fields; computational results; cubic fields; discriminant; nonisomorphic complex; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Hardy:1990:DAS, author = "Kenneth Hardy and Joseph B. Muskat and Kenneth S. Williams", title = "A Deterministic Algorithm for Solving $n = fu^2 + gv^2$ in Coprime Integers $u$ and $v$", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "327--343", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y50 (11D09)", MRnumber = "91d:11164", MRreviewer = "Brigitte Vall{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Math. and Stat., Carleton Univ., Ottowa, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coprime integers; deterministic algorithm; natural number; primitive; representations; transforms", treatment = "T Theoretical or Mathematical", } @Article{Fung:1990:QPW, author = "G. W. Fung and H. C. Williams", title = "Quadratic polynomials which have a high density of prime values", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "345--353", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N32 (11-04 11Y35)", MRnumber = "90j:11090", MRreviewer = "S. W. Graham", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic density; Hardy--Littlewood constants; polynomials; prime values; quadratic polynomial", treatment = "T Theoretical or Mathematical", } @Article{Bach:1990:EBP, author = "Eric Bach", title = "Explicit bounds for primality testing and related problems", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "355--380", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R44 (11Y11 11Y40)", MRnumber = "91m:11096", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0250 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Wisconsin Univ., Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abelian extension; multiplicative subgroup; nontrivial; number fields; number theory; number-theoretic algorithms; polynomials; primality testing", treatment = "T Theoretical or Mathematical", } @Article{Parady:1990:LKT, author = "B. K. Parady and Joel F. Smith and Sergio E. Zarantonello", title = "Largest Known Twin Primes", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "381--382", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11Y11)", MRnumber = "90j:11013", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Amdahl Corp., Sunnyvale, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "largest known twin primes; number theory", treatment = "T Theoretical or Mathematical", } @Article{Jaeschke:1990:CN, author = "Gerhard Jaeschke", title = "The {Carmichael} Numbers to $10^{12}$", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "383--389", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A51 (11Y11)", MRnumber = "90m:11018", MRreviewer = "Herman J. J. te Riele", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "IBM Sci. Center, Heidelberg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; Carmichael numbers; number theory", treatment = "T Theoretical or Mathematical", } @Article{Kolbig:1990:BRC, author = "K. S. K{\"o}lbig", title = "Book Review: {{\booktitle{Computation of Functions on Electronic Computers --- Handbook}} (in Russian). Naukova Dumka, Kiev, 194, 599pp, by B. A. Popov, G. S. Tesler}", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "395--397", month = jul, year = "1990", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008818", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Jan 24 08:35:37 2017", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.jstor.org/stable/2008818", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chui:1990:CDB, author = "Charles Chui and Tian Xiao He", title = "Corrigenda: {``On the dimension of bivariate superspline spaces''} {[Math. Comp. {\bf 53} (1989), no. 187, 219--234, MR 90c:41014]}", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "407--409", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15", MRnumber = "90j:41017", bibdate = "Thu Apr 10 10:22:20 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Phelps:1990:SCL, author = "Kevin T. Phelps", title = "Supplement to Cyclic Large Sets of {Steiner} Triple Systems of Order 15", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "S1--S6", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brenner:1990:NMM, author = "Susanne C. Brenner", title = "A nonconforming multigrid method for the stationary {Stokes} equations", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "411--437", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10 65N22 76D07 76M10)", MRnumber = "91d:65167", MRreviewer = "Jan Mandel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis); C4170 (Differential equations)", corpsource = "Dept. of Math., Syracuse Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; divergence-free finite elements; dynamics; finite element analysis; fluid; nonconforming multigrid method; optimal-order W-cycle multigrid method; P1 nonconforming; stationary Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1990:OONb, author = "Shangyou Zhang", title = "Optimal-order nonnested multigrid methods for solving finite element equations {II}: {On} non-quasi-uniform meshes", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "439--450", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65F10 65N30)", MRnumber = "91g:65269", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abrupt changes; boundary conditions; differential equations; elliptic; finite element analysis; finite element equations; multilevel grids; nonnested multigrid methods; nonquasi-uniform meshes; optimal-order solvers; problems; re-entrant corners; singularities", treatment = "T Theoretical or Mathematical", } @Article{Atkinson:1990:BIE, author = "Kendall E. Atkinson and Graeme Chandler", title = "Boundary integral equation methods for solving {Laplace}'s equation with nonlinear boundary conditions: {The} smooth boundary case", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "451--472", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N38 (65R20)", MRnumber = "91d:65181", MRreviewer = "Hartmut Strese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0290M (Numerical integration and differentiation); B0290F (Interpolation and function approximation); C4180 (Integral equations); C4160 (Numerical integration and differentiation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Iowa Univ., Iowa City, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate; approximation theory; boundary-value problems; conditions; discretization; equation; equations; integral; integration; interpolation; iterative methods; Laplace equation; nonlinear; nonlinear boundary; nonlinear boundary integral; nonlinear boundary value; numerical methods; problem; product integration; product Simpson rule; singular integrals; smooth boundary; systems; trigonometric interpolation; two-grid methods", treatment = "T Theoretical or Mathematical", } @Article{Karakashian:1990:OHO, author = "Ohannes Karakashian and William McKinney", title = "On optimal high-order in time approximations for the {Korteweg--de Vries equation}", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "473--496", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35Q53)", MRnumber = "92h:65172", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290F (Interpolation and function approximation); C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Tennessee Univ., Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; equation; implicit Runge--Kutta; Korteweg--de Vries; methods; optimal high-order; order reduction phenomenon; periodic solutions; Runge--Kutta methods; time approximations", treatment = "T Theoretical or Mathematical", } @Article{Fairweather:1990:SGM, author = "Graeme Fairweather and J. M. Sanz-Serna and I. Christie", title = "A stabilized {Galerkin} method for a third-order evolutionary problem", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "497--507", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M15)", MRnumber = "91d:65138", MRreviewer = "K. Najzar", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis); A0230 (Function theory, analysis); A4755M (Flow through porous media); C4170 (Differential equations); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Valladolid Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fluid dynamics; fluidised beds; fluidization models; form; initial value problems; integration; numerical integration; optimal order error estimates; partial differential equation; partial differential equations; periodic initial value; problem; rewriting; Sobolev; stabilization; stabilized Galerkin method; third-order evolutionary problem", treatment = "T Theoretical or Mathematical", } @Article{Eydeland:1990:MVP, author = "Alexander Eydeland and Joel Spruck and Bruce Turkington", title = "Multiconstrained variational problems of nonlinear eigenvalue type: {New} formulations and algorithms", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "509--535", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4765 (Magnetohydrodynamics and electrohydrodynamics); A0260 (Numerical approximation and analysis); A0210 (Algebra, set theory, and graph theory); A0230 (Function theory, analysis); C4140 (Linear algebra); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Stat., Massachusetts Univ., Amherst, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuously infinite constraint family; convergence of numerical methods; convexity properties; dual; eigenfunctions; eigenvalue; eigenvalues and; equilibrium equations; flux tube; functions; global convergence; helicity; iterative algorithm; iterative methods; linearized inequalities; magnetohydrodynamic equilibria; magnetohydrodynamics; mass; minimisation; minimization problem; modelling; monotonicity; multiconstrained; multiconstrained variational problems; natural discretization; nonlinear eigenvalue; nonlinear equality constraints; parameters; physical variational principle; relaxation; semilinear elliptic eigenvalue problems; spatial symmetry; type; unspecified profile; variational; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Maday:1990:ASP, author = "Y. Maday", title = "Analysis of spectral projectors in one-dimensional domains", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "537--562", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A65 (65J05 65N30)", MRnumber = "91c:41095", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Pierre et Marie Curie, Paris, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; Chebyshev; Hilbert spaces; model fourth-order problem; numerical analysis; one-dimensional domains; operators; orthogonality relation; polynomials; projection; spaces; spectral methods; spectral projectors; standard Sobolev spaces; weight; weighted Sobolev", treatment = "T Theoretical or Mathematical", } @Article{Renaut:1990:TSR, author = "R. A. Renaut", title = "Two-step {Runge--Kutta} methods and hyperbolic partial differential equations", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "563--579", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M06 (65M12)", MRnumber = "91d:65128", MRreviewer = "A. O. Oganesyan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0260 (Optimisation techniques); C4170 (Differential equations); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential system; function evaluations; hyperbolic partial differential equations; Kutta methods; nonlinear programming; ordinary; partial differential equations; problem; Runge-; semidiscretization; stability regions; stability requirements; two-step Runge-", treatment = "T Theoretical or Mathematical", } @Article{Li:1990:NSM, author = "Shou Fu Li and Baogen Ruan", title = "Nonlinear stability of multistep multiderivative methods", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "581--589", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L20 (65J15)", MRnumber = "91d:65117", MRreviewer = "A. M. Galperin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Xiangtan Univ., China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Banach space; convergence of numerical methods; differential equations; initial value problems; multistep multiderivative methods; nonlinear stability", treatment = "T Theoretical or Mathematical", } @Article{Spigler:1990:NME, author = "Renato Spigler and Marco Vianello", title = "A numerical method for evaluating zeros of solutions of second-order linear differential equations", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "591--612", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L99 (65D15)", MRnumber = "91d:65125", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Padova Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2nd-order linear differential equations; asymptotic analysis; Boruvka's approach; half line; Kummer equation; linear differential equations; nonlinear 3rd-order equation; numerical algorithm; numerical analysis; numerical method; Olver; oscillatory case; real; second-order; transformations; zeros of solutions", treatment = "T Theoretical or Mathematical", } @Article{Zha:1990:RGG, author = "Hongyuan Zha and Per Christian Hansen", title = "Regularization and the General {Gauss--Markov} Linear Model", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "613--624", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F20 (15A06 65F30)", MRnumber = "91c:65031", MRreviewer = "James Weldon Demmel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficient matrix; general Gauss--Markov; ill conditioned; linear model; matrix algebra; numerically stable algorithm; perturbations; regularization; regularized; sensitive; solution; Tikhonov", kwds = "nla, regr, regularization", treatment = "T Theoretical or Mathematical", } @Article{DeVore:1990:DAA, author = "Ronald A. DeVore and Xiang Ming Yu", title = "Degree of Adaptive Approximation", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "625--635", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A25 (41A10 41A15)", MRnumber = "91g:41022", MRreviewer = "A. S. Cavaretta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290B (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., South Carolina Univ., Columbia, SC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive approximation; approximation; approximation theory; error analysis; error estimates; free-knot spline; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Farouki:1990:NCB, author = "R. T. Farouki and C. A. Neff", title = "On the numerical condition of {Bernstein--B{\'e}zier} subdivision processes", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "637--647", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D10 (65D15 68T10 68U05)", MRnumber = "91c:65013", MRreviewer = "Jie Tian", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C1110 (Algebra)", corpsource = "IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "barycentric coordinates; Bernstein coefficients; Bernstein-Bezier; Bezier curves; Bezier surfaces; computational geometry; computer-aided geometric design applications; condition number; control points; exponential; growth; interval; linear map; matrix algebra; numerical condition; polynomial; polynomials; stochastic matrix; subdivision map; subdivision processes; subinterval midpoint; zoom factor", treatment = "T Theoretical or Mathematical", } @Article{Peherstorfer:1990:SPG, author = "Franz Peherstorfer", title = "On {Stieltjes} polynomials and {Gauss--Kronrod} quadrature", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "649--664", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (33C45 41A55)", MRnumber = "91e:65042", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290F (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Math., J. Kepler Univ., Linz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic; formula; Gauss--Kronrod quadrature; integration; interpolation; interpolation quadrature formula; nodes; orthogonal; polynomials; positive weights; real function; sign-changing function; simple zeros; Stieltjes polynomials", treatment = "T Theoretical or Mathematical", } @Article{Bialecki:1990:SHQ, author = "Bernard Bialecki", title = "A {Sinc--Hunter} quadrature rule for {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "665--681", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "91d:65038", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); B0290F (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic functions; approximate solution; approximation theory; arc; Cauchy principal; Cauchy singular; complex plane; computational complexity; equations; general; integral; integral equations; integration; interval; nodes; positive constant; quadrature error; Sinc function; Sinc--Hunter quadrature rule; value integrals", treatment = "T Theoretical or Mathematical", } @Article{Delvos:1990:BMD, author = "Franz-J. Delvos", title = "{Boolean} methods for double integration", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "683--692", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "91j:65047", MRreviewer = "G. F. Miller", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0210 (Algebra); B0290F (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4210 (Formal logic); C4130 (Interpolation and function approximation)", corpsource = "Univ.-GH-Siegen, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Boolean; Boolean functions; Boolean methods; continuous functions; double integration; error bounds; integration; interpolation; number-; numerical; rth-order blending midpoint rules; rth-order blending rectangle rules; theoretic cubature rules; unit square", treatment = "T Theoretical or Mathematical", } @Article{Dempsey:1990:PSF, author = "Kevin M. Dempsey and Dajin Liu and John P. Dempsey", title = "{Plana}'s Summation Formula for $\sum^\infty_{m=1,3,\ldots} m^{-2} \sin(m \alpha), m^{-3} \cos(m\alpha), m^{-2} {A}^m, m^{-3} {A}^m$", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "693--703", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); convergence; convergence of numerical methods; integration; Plana summation formula; Romberg integration method; series", treatment = "T Theoretical or Mathematical", } @Article{Babai:1990:CIR, author = "L{\'a}szl{\'o} Babai and Lajos R{\'o}nyai", title = "Computing irreducible representations of finite groups", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "705--722", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "68Q40 (11R33 20C40)", MRnumber = "91d:68057", MRreviewer = "David Pokrass Jacobs", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C1110 (Algebra); C4240 (Programming and algorithm theory)", corpsource = "Eotvos Univ., Budapest, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absolutely irreducible constituents; algebraic; bit-complexity; complex numbers; computational complexity; decomposition; deterministic; equivalence class; finite groups; group theory; irreducible representations; matrices; multiplication; nonequivalent; number fields; number theory; polynomial time; polynomial-size description; polynomial-time algorithm; randomized Las Vegas polynomial; table; time", treatment = "T Theoretical or Mathematical", } @Article{Silverman:1990:DBW, author = "Joseph H. Silverman", title = "The difference between the {Weil} height and the canonical height on elliptic curves", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "723--743", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (14G25)", MRnumber = "91d:11063", MRreviewer = "Marc Hindry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Math., Brown Univ., Providence, RI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "canonical height; computational geometry; decomposition; discriminant; elliptic curves; estimate; estimation theory; explicit; generators; heights; j-invariant; local; Mordell-Weil group; Weil height", treatment = "T Theoretical or Mathematical", } @Article{Pila:1990:FMA, author = "J. Pila", title = "{Frobenius} maps of {Abelian} varieties and finding roots of unity in finite fields", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "745--763", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11G10 11G15 11Y05 14G15)", MRnumber = "91a:11071", MRreviewer = "Joseph H. Silverman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C1110 (Algebra); C4240 (Programming and algorithm theory)", corpsource = "Sch. of Math., Inst. for Adv. Study, Princeton, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Abelian varieties; addition law; algorithm; characteristic polynomial; computational complexity; dimension; elliptic curves; embedding space; finite fields; fixed curve; Frobenius endomorphism; Frobenius maps; group theory; ideal-; implied constant; number theory; primes; rational points; reductions modulo; Riemann hypothesis; Schoof; theoretic computations", treatment = "T Theoretical or Mathematical", } @Article{Lehner:1990:LHC, author = "J. Lehner", title = "The local {Hurwitz} constant and {Diophantine} approximation on {Hecke} groups", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "765--781", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11J06 (11F99)", MRnumber = "91c:11036", MRreviewer = "Richard T. Bumby", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0210 (Algebra); C4130 (Interpolation and function approximation); C1110 (Algebra)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convergence of numerical methods; convergents; Diophantine approximation; group theory; groups; Hecke; local Hurwitz constant; upper bound", treatment = "T Theoretical or Mathematical", } @Article{Gurak:1990:PHO, author = "S. Gurak", title = "Pseudoprimes for higher-order linear recurrence sequences", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "783--813", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51 11B37 11B50)", MRnumber = "91a:11067", MRreviewer = "W. W. Adams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. and Comput. Sci., San Diego Univ., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "linear recurrence sequences; number theory; primality tests; pseudoprimes", treatment = "T Theoretical or Mathematical", } @Article{Kubina:1990:EWC, author = "Jeffrey M. Kubina and Marvin C. Wunderlich", title = "Extending {Waring}'s conjecture to $471,600,000$", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "815--820", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics); C1160 (Combinatorial mathematics)", corpsource = "Nat. Security Agency, Central Security Service, Fort George G. Meade, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer techniques; mathematics computing; number theory; Waring conjecture", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Phelps:1990:CLS, author = "Kevin T. Phelps", title = "Cyclic large sets of {Steiner} triple systems of order 15", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "821--824, S1--S6", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Auburn Univ., AL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "13-cycle; automorphism; combinatorial mathematics; cyclic large sets; fixed points; initial configurations; nonisomorphic systems; order 15; order 16; set theory; Steiner quadruple systems; Steiner triple systems", treatment = "T Theoretical or Mathematical", } @Article{Koukouvinos:1990:BTS, author = "C. Koukouvinos and S. Kounias and K. Sotirakoglou", title = "On Base and {Turyn} Sequences", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "825--837", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "62K10", MRnumber = "91a:62204", MRreviewer = "Bhagwandas", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Thessaloniki Univ., Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; base sequences; decompositions; exhaustive search; number theory; squares; Turyn sequences", treatment = "T Theoretical or Mathematical", } @Article{Spiess:1990:SII, author = "J{\"u}rgen Spie{\ss}", title = "Some Identities Involving Harmonic Numbers", journal = j-MATH-COMPUT, volume = "55", number = "192", pages = "839--863", month = oct, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05A19 (11B37 68R05)", MRnumber = "91c:05021", MRreviewer = "M.-P. Delest", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Tech. Univ., Braunschweig, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generating functions; harmonic numbers; identities; number theory", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1991:PMP, author = "J. H. Bramble and J. E. Pasciak and J. Xu", title = "Parallel multilevel preconditioners correction: {A} unifying approach", journal = j-MATH-COMPUT, volume = "??", number = "??", pages = "??--??", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:15:43 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; Parallel/Multi.grid.bib", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", xxnote = "Not found in annual indexes, MathSciNet, or Zentralblatt fur Mathematik?? Not in October 1991 volume, nor in JSTOR database. Journal may be wrong, or this paper was never published, or its title was changed.", } @Article{Bramble:1991:AMA, author = "James H. Bramble and Joseph E. Pasciak and Jinchao Xu", title = "The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "1--34", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N22 (65N55)", MRnumber = "91h:65159", MRreviewer = "Jan Mandel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm theory; analysis; boundary-value problems; curved boundary; finite difference; finite element; finite element multigrid algorithm; multigrid algorithms; noninherited quadratic forms; nonnested spaces; nonsymmetric smoothers; numerical approximations; order elliptic boundary value problems; partial differential equations; PDEs; problems; Raviart--Thomas elements; second-; symmetric positive definite", treatment = "T Theoretical or Mathematical", } @Article{Aziz:1991:GMF, author = "A. K. Aziz and J.-L. Liu", title = "A {Galerkin} method for the forward-backward heat equation", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "35--44", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60", MRnumber = "91j:65151", MRreviewer = "J. P. Hennart", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Maryland Univ., Baltimore, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; assumptions; boundary-value problems; continuous elements; equation; error analysis; error estimates; finite element; finite element procedure; forward-backward heat; Galerkin method; numerical approximation; parabolic BVP; partial differential equations; regularity; variational method", treatment = "T Theoretical or Mathematical", } @Article{Cottet:1991:LTB, author = "Georges-Henri Cottet", title = "Large-time behavior of deterministic particle approximations to the {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "45--59", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M99 (35Q30 76D05)", MRnumber = "91g:65208", MRreviewer = "Long An Ying", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; deterministic; distribution of particles; Navier--Stokes equations; numerical experiments; numerical solution; of deterministic particle approximations; partial differential equations; reinitialization; vortex methods; vortices", treatment = "T Theoretical or Mathematical", } @Article{Lin:1991:SGR, author = "T. Lin and J. Sochacki and R. Ewing and J. George", title = "Some grid refinement schemes for hyperbolic equations with piecewise constant coefficients", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "61--86", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M50 (35L45 35R05)", MRnumber = "91m:65242", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Wyoming Univ., Laramie, WY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficients; convergence of numerical methods; difference equations; finite difference approximations; grid refinement; hyperbolic equations; numerical schemes; partial differential equations; PDEs; piecewise constant; schemes; stability result", treatment = "T Theoretical or Mathematical", } @Article{Glassey:1991:CSO, author = "Robert Glassey and Jack Schaeffer", title = "Convergence of a second-order scheme for semilinear hyperbolic equations in 2 + 1 dimensions", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "87--106", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (35L70)", MRnumber = "91h:65140", MRreviewer = "G. W. Hedstrom", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Indiana Univ., Bloomington, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; energy-; nonlinear equations; preserving scheme; second-order convergence; second-order scheme; semilinear Cauchy Problem; semilinear hyperbolic equations; time interval", treatment = "T Theoretical or Mathematical", } @Article{Chern:1991:LTB, author = "I-Liang Chern", title = "Large-time behavior of solutions of {Lax--Friedrichs} finite difference equations for hyperbolic systems of conservation laws", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "107--118", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (35L65 39A12 76L05)", MRnumber = "91j:65148", MRreviewer = "Claude Carasso", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4328 (Aeroacoustics and atmospheric sound); A0260 (Numerical approximation and analysis); A4725M (Noise (turbulence generated)); A0340K (Waves and wave propagation: general mathematical aspects); A4740N (Shock-wave interactions)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aeroacoustics; Burgers equation; conservation laws; difference equations; discrete diffusion; discrete solutions; gas flows; heat equation; hyperbolic systems; large-time behavior; Lax--Friedrichs finite; shock waves; solitons; waves", treatment = "T Theoretical or Mathematical", } @Article{Atkinson:1991:NSF, author = "Kendall E. Atkinson and Ian H. Sloan", title = "The numerical solution of first-kind logarithmic-kernel integral equations on smooth open arcs", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "119--139", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (31A10 35C15)", MRnumber = "91j:65192", MRreviewer = "Rudolf Gorenflo", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Iowa Univ., Iowa City, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "compact perturbation; convergence analysis; convergence of numerical methods; Dirichlet problem; discrete Galerkin; first-kind logarithmic-kernel integral equations; integral equations; method; open arcs; principal part; single-layer potentials; smooth", treatment = "T Theoretical or Mathematical", } @Article{Kaneko:1991:DKM, author = "Hideaki Kaneko and Yuesheng Xu", title = "Degenerate Kernel Method for {Hammerstein} Equations", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "141--148", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L05)", MRnumber = "91f:65216", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math. and Stat., Old Dominion Univ., Norfolk, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "degenerate kernel method; equations; function approximation; Hammerstein; integral equations", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1991:UEE, author = "P. P. B. Eggermont and C. H. Lubich", title = "Uniform error estimates of operational quadrature methods for nonlinear convolution equations on the half-line", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "149--176", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05 47H15 47H17)", MRnumber = "91j:65195", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4180 (Integral equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous equation; control engineering; diffusion problems; equations; error analysis; integral equations; integration; linearized equations; method; nonlinear; nonlinear convolution equations; operational quadrature; operational quadrature methods; stability; uniform error estimates", treatment = "T Theoretical or Mathematical", } @Article{Lenferink:1991:CPI, author = "H. W. J. Lenferink", title = "Contractivity-preserving implicit linear multistep methods", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "177--199", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06 (65L20)", MRnumber = "91i:65129", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. and Comput. Sci., Leiden Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary norm; circle condition; contractivity properties; differential equations; implicit; initial value problems; linear multistep methods; maximal stepsize; numerical solution; ordinary", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1991:RTM, author = "Claus Schneider", title = "{Rosenbrock-type} methods adapted to differential-algebraic systems", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "201--213", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (65L06)", MRnumber = "91j:65123", MRreviewer = "Michael Hanke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fachbereich Math., Johannes Gutenberg Univ., Mainz, Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "decomposition; differential-algebraic systems; Jacobian; Kronecker canonical form; LU; nonlinear differential equations; nonlinear equations; numerical solution; Rosenbrock-type methods", treatment = "T Theoretical or Mathematical", } @Article{Elman:1991:IMC, author = "Howard C. Elman and Gene H. Golub", title = "Iterative methods for cyclically reduced nonselfadjoint linear systems. {II}", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "215--242", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65N22)", MRnumber = "91e:65051", MRreviewer = "Harry Yserentant", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2D domains; analysis; architectures; convection-diffusion equation; convergence; convergence of numerical methods; difference discretizations; differential equations; finite; iterative methods; line iterative methods; line relaxation; linear systems; nonself-adjoint elliptic partial; parallel; parallel algorithms; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1991:NII, author = "J. N. Lyness and T. S{\o}revik and P. Keast", title = "Notes on Integration and Integer Sublattices", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "243--255", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "91m:65071", MRreviewer = "I. P. Mysovskikh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generator matrices; integer sublattices; integration; lattice rule; quadrature; rule; s-dimensional hypercube", treatment = "T Theoretical or Mathematical", } @Article{Disney:1991:EBM, author = "Shaun Disney and Ian H. Sloan", title = "Error Bounds for the Method of Good Lattice Points", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "257--266", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "91m:65068", MRreviewer = "I. P. Mysovskikh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0290M (Numerical integration and differentiation); B0290B (Error analysis in numerical methods); C4180 (Integral equations); C4160 (Numerical integration and differentiation); C4110 (Error analysis in numerical methods)", corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bound; error analysis; error bounds; good lattice points; integral equations; integration; multidimensional quadrature; Niederreiter asymptotic error; numerical bounds", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1991:TEI, author = "B. C. Carlson", title = "A table of elliptic integrals: {One} quadratic factor", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "267--280", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33E05 (65A05)", MRnumber = "92b:33056", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0290M (Numerical integration and differentiation); C4180 (Integral equations); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conjugate complex zeros; elliptic integrals; Fortran programs; integral equations; integration; polynomial; R-functions; square root", treatment = "P Practical", } @Article{Steidl:1991:PAF, author = "G. Steidl and M. Tasche", title = "A polynomial approach to fast algorithms for discrete {Fourier-cosine} and {Fourier-sine} transforms", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "281--296", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T20 (94A11)", MRnumber = "91h:65225", MRreviewer = "Harald E. Krogstad", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Fachbereich Math., Rostock Univ., Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev polynomials; Chinese; cosine; discrete cosine transform; discrete Fourier transform; discrete Fourier-; fast algorithms; Fourier transforms; Fourier-sine transforms; polynomial approach; polynomial arithmetic; polynomials; real-valued sequences; remainder theorem", treatment = "T Theoretical or Mathematical", } @Article{Eichenauer-Herrmann:1991:ICP, author = "J{\"u}rgen Eichenauer-Herrmann", title = "Inversive congruential pseudorandom numbers avoid the planes", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "297--301", month = jan, year = "1991", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008543", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "91k:65021", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR database", URL = "http://www.jstor.org/stable/2008543", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Fachbereich Math., Tech. Hochschule, Darmstadt, Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "congruential pseudorandom number generators; d-space; hyperplane; inversions; random number generation; simulation problems", treatment = "T Theoretical or Mathematical", } @Article{Ivic:1991:ZET, author = "A. Ivi{\'c} and H. J. J. {te Riele}", title = "On the Zeros of the Error Term for the Mean Square of $|\zeta(\frac{1}{2} + it)|$", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "303--328", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M06 (11Y35)", MRnumber = "91e:11095", MRreviewer = "Robert J. Anderson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Katedra Matematike, RGF-A Univ., U. Beogradu, Yugoslavia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; error term; function approximation; mean square; poles and zeros; zeros", treatment = "T Theoretical or Mathematical", } @Article{Lenstra:1991:FIB, author = "H. W. {Lenstra, Jr.}", title = "Finding Isomorphisms Between Finite Fields", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "329--347", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T30 (11Y16)", MRnumber = "91d:11151", MRreviewer = "Philip A. Leonard", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; deterministic polynomial time; finite fields; isomorphism; number theory", treatment = "T Theoretical or Mathematical", } @Article{Vaserstein:1991:SCP, author = "L. N. Vaserstein", title = "Sums of Cubes in Polynomial Rings", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "349--357", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P05 (11C08)", MRnumber = "91e:11106", MRreviewer = "D. J. Lewis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "associative; number theory; polynomial rings; polynomials; ring; sums of cubes", treatment = "T Theoretical or Mathematical", } @Article{Aaltonen:1991:CER, author = "M. Aaltonen and K. Inkeri", title = "{Catalan}'s equation $x^p -y^q = 1$ and related congruences", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "359--370", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D41 (11A07 11D61)", MRnumber = "91g:11025", MRreviewer = "Nikos Tzanakis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Turku Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Catalan equation; computer results; congruences; nonzero integers; number theory; prime exponents", treatment = "T Theoretical or Mathematical", } @Article{Arno:1991:NPP, author = "Steven Arno", title = "A Note on {Perrin} Pseudoprimes", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "371--376", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11Y16)", MRnumber = "91k:11011", MRreviewer = "G. J. Rieger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Supercomput. Res. Center, Bowie, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic recurrence; initial conditions; number theory; Perrin pseudoprimes", treatment = "T Theoretical or Mathematical", } @Article{DiazyDiaz:1991:STT, author = "F. {Diaz y Diaz}", title = "Supplement to {A} Table of Totally Real Quintic Number Fields", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "S1--S12", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Goldstein:1991:MAF, author = "Charles I. Goldstein", title = "Multigrid analysis of finite element methods with numerical integration", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "409--436", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65F10 65N30)", MRnumber = "91h:65190", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290M (Numerical integration and differentiation); C4170 (Differential equations); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl Sci., Brookhaven Nat. Lab., Upton, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence of numerical methods; elliptic boundary value; equations; finite element analysis; finite element methods; integration; multigrid convergence rates; numerical; numerical integration; partial differential; PDE; problems; quadrature; standard variational framework", treatment = "T Theoretical or Mathematical", } @Article{Ewing:1991:LRT, author = "R. E. Ewing and R. D. Lazarov and P. S. Vassilevski", title = "Local refinement techniques for elliptic problems on cell-centered grids. {I}. {Error} analysis", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "437--461", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N06 (65N15 65N50)", MRnumber = "91m:65256", MRreviewer = "M. K. Kadalbajoo", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Wyoming Univ., Laramie, WY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "balance equation; cell-centered grids; difference equations; elliptic equations; elliptic problems; equations; error analysis; finite difference technique; local refinement; partial differential; second-order; symmetric scheme", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1991:SEW, author = "James H. Bramble and Jinchao Xu", title = "Some Estimates for a Weighted ${L}^2$ Projection", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "463--476", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15 65N55)", MRnumber = "91k:65140", MRreviewer = "A. Quarteroni", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; domain decomposition method; elliptic boundary problems; error analysis; error estimates; estimates; jump discontinuities; multigrid method; multilevel preconditioner; optimal; weighted L/sup 2/ projection", treatment = "T Theoretical or Mathematical", } @Article{Wang:1991:SEM, author = "Jun Ping Wang", title = "Superconvergence and extrapolation for mixed finite element methods on rectangular domains", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "477--503", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "91m:65280", MRreviewer = "Juhani Pitk{\"a}ranta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290F (Interpolation and function approximation); C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Wyoming Univ., Laramie, WY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; BVP; convergence of numerical methods; element methods; equations; extrapolation; finite element analysis; Gauss; lines; lowest-order; mixed finite; partial differential; PDE; postprocessed extrapolation; pure; rectangular domains; rectangular element; Richardson extrapolation; scalar fields; second-order elliptic equation; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Akrivis:1991:FDD, author = "Georgios D. Akrivis and Vassilios A. Dougalis", title = "Finite difference discretizations of some initial and boundary value problems with interface", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "505--522", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (65M15)", MRnumber = "91h:65132", MRreviewer = "Snezhana Gocheva-Ilieva", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Crete Univ., Irakalion, Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; difference equations; initial value; problems; initial value problems; boundary value problems; stationary; interface; heat equation; Schr{\"o}dinger equation; wave; equation; finite difference methods; elliptic projection; Galerkin finite element methods; second-order error; estimates", treatment = "T Theoretical or Mathematical", } @Article{Gunzburger:1991:EUF, author = "Max D. Gunzburger and Amnon J. Meir and Janet S. Peterson", title = "On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "523--563", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76W05 (35Q99 65N30 76M10)", MRnumber = "91m:76127", MRreviewer = "Vladim{\'\i}r Janovsk{\'y}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4765 (Magnetohydrodynamics and electrohydrodynamics); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math., Carnegie Mellon Univ., Pittsburgh, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; bounded; discretization; domain; finite element; finite element analysis; incompressible magnetohydrodynamics; inhomogeneous boundary conditions; magnetohydrodynamics; stationary magnetohydrodynamics; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Gottlieb:1991:CCS, author = "David Gottlieb and Eitan Tadmor", title = "The {CFL} condition for spectral approximations to hyperbolic initial-boundary value problems", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "565--588", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N12 (65N35)", MRnumber = "91k:65137", MRreviewer = "Vassilios A. Dougalis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sch. of Math. Sci., Tel-Aviv Univ., Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "CFL condition; CFL-; convergence; convergence of numerical methods; explicit multilevel methods; forward Euler time-differencing; initial value problems; inverse inequality; Jacobi polynomials; like condition; partial differential equations; Runge--Kutta methods; scalar hyperbolic initial-boundary; spectral approximations; stability; value problems; variable coefficients", treatment = "T Theoretical or Mathematical", } @Article{Hagstrom:1991:ABC, author = "Thomas Hagstrom", title = "Asymptotic boundary conditions for dissipative waves: {General} theory", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "589--606", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (65P05)", MRnumber = "91m:65299", MRreviewer = "Erwin Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); A0260 (Numerical approximation and analysis); C4170 (Differential equations); C7320 (Physics and Chemistry)C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Appl. Math. and Stat., State Univ. of New York, Stony Brook, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; asymptotic; computational analysis; computing; convergence; convergence of numerical methods; dispersion; dissipative waves; domain size; error; error analysis; physics; problems; radiation boundary conditions; relation; steepest descent; time-dependent; wave equations; wave propagation", treatment = "T Theoretical or Mathematical", } @Article{Huang:1991:HAS, author = "Ming You Huang", title = "A {Hamiltonian} approximation to simulate solitary waves of the {Korteweg--de Vries} equation", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "607--620", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (35Q53 76B15 76B25)", MRnumber = "91m:65249", MRreviewer = "Andrei Yurievich Semenov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); A0260 (Numerical approximation and analysis); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Jilin Univ., Changchun, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation laws; convergence of numerical methods; element analysis; equation; error analysis; error estimates; finite; finite element approximation; Hamiltonian approximation; Korteweg--de Vries; numerical methods; scheme; semidiscrete; single-step fully discrete; solitary waves; solitons; superconvergence properties", treatment = "T Theoretical or Mathematical", } @Article{Lecot:1991:QMC, author = "Christian L{\'e}cot", title = "A quasi-{Monte Carlo} method for the {Boltzmann} equation", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "621--644", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C05 (76M25 76P05 82C40)", MRnumber = "91j:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0560 (Transport processes: theory); A0260 (Numerical approximation and analysis); C4170 (Differential equations); C4180 (Integral equations); C4110 (Error analysis in numerical methods)", corpsource = "Lab. De Math., Savoie Univ., Chambery, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Boltzmann equation; colliding; effective errors; energy conservation; error analysis; Euler scheme; integration; isotropic gas; isotropic scattering; methods; molecular model; Monte Carlo; numerical integrations; particles; quasi-Monte Carlo method", treatment = "T Theoretical or Mathematical", } @Article{Owren:1991:OBC, author = "Brynjulf Owren and Marino Zennaro", title = "Order barriers for continuous explicit {Runge--Kutta} methods", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "645--661", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06", MRnumber = "91i:65130", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Div. of Math. Sci., Norwegian Inst. of Technol., Trondheim, Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Butcher barriers; continuous; continuous explicit Runge--Kutta methods; differential equations; explicit Runge-; initial value problems; Kutta methods; methods; multi-step methods; numerical methods; ordinary; Runge--Kutta", treatment = "T Theoretical or Mathematical", } @Article{Stynes:1991:ASP, author = "Martin Stynes and Eugene O'Riordan", title = "An analysis of a singularly perturbed two-point boundary value problem using only finite element techniques", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "663--675", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L60 (34E15)", MRnumber = "91m:65225", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. Coll., Cork, Ireland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Aubin-Nitsche argument; boundary-value problems; differential equations; element analysis; energy norm; finite; finite element techniques; methods; norm error bounds; parameter; perturbation; perturbation techniques; Petrov--Galerkin finite element; singularly perturbed two-point boundary value problem", treatment = "T Theoretical or Mathematical", } @Article{Ye:1991:CAN, author = "Qiang Ye", title = "A convergence analysis for nonsymmetric {L{\'a}nczos} algorithms", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "677--691", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15", MRnumber = "91m:65115", MRreviewer = "Zden{\v{e}}k Strako{\v{s}}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Stat., Calgary Univ., Alta., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; approximation bounds; convergence analysis; convergence of numerical methods; eigenfunctions; eigenvalues; eigenvalues and; matrix algebra; nonsymmetric Lanczos; Ritz; Ritz values; tridiagonal structure; vectors", treatment = "T Theoretical or Mathematical", } @Article{Li:1991:SDP, author = "T. Y. Li and Xiao Shen Wang", title = "Solving deficient polynomial systems with homotopies which keep the subschemes at infinity invariant", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "693--710", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10 (65H20)", MRnumber = "91j:65089", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bezout number; deficient polynomial systems; homotopies; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Fischer:1991:GPW, author = "Bernd Fischer and Gene H. Golub", title = "On generating polynomials which are orthogonal over several intervals", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "711--730", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33C45", MRnumber = "92d:33015", MRreviewer = "J. Prasad", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Angewandte Math., Hamburg Univ., Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "explicit; expression; function; generating polynomials; modified moments; numerical performance; polynomials; recursion coefficients; weight; weighted sum", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1991:UCR, author = "Philip Rabinowitz", title = "Uniform convergence results for {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "731--740", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A05)", MRnumber = "91j:65053", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy principal value integrals; convergence of numerical methods; integral equations; integration; numerical integration; theorem; uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Hasegawa:1991:AQC, author = "Takemitsu Hasegawa and Tatsuo Torii", title = "An automatic quadrature for {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "741--754", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "91j:65051", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290F (Interpolation and function approximation); B0290R (Integral equations); C4160 (Numerical integration and differentiation)C4180 (Integral equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Inf. Sci., Fukui Univ., Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "automatic quadrature; Cauchy principal value integrals; Chebyshev polynomials; equations; evaluations; fast Fourier transforms; FFT; function; function approximation; integral; integration; polynomials; smooth functions", treatment = "T Theoretical or Mathematical", } @Article{Calvetti:1991:SRE, author = "Daniela Calvetti", title = "A stochastic roundoff error analysis for the {Fast Fourier Transform}", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "755--774", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T20 (65G05)", MRnumber = "91m:65341", MRreviewer = "Harald E. Krogstad", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); B0290B (Error analysis in numerical methods); C4190 (Other numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Southern Colorado Univ., Pueblo, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "addition; discrete Fourier transform; error analysis; expected value; fast Fourier transform; fast Fourier transforms; linear forms; multiplication; stochastic roundoff error analysis; variance", treatment = "T Theoretical or Mathematical", } @Article{Blecksmith:1991:CIM, author = "Richard Blecksmith and John Brillhart and Irving Gerst", title = "On a Certain $(\operatorname{Mod} 2)$ Identity and a Method of Proof by Expansion", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "775--794", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P83", MRnumber = "91j:11087", MRreviewer = "T. M. Apostol", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. Sci., Northern Illinois Univ., Dekalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "associated partition function; congruence modulo 2; mathematics computing; number theory; parity result; proof by expansion; triple products", treatment = "T Theoretical or Mathematical", } @Article{Darmon:1991:NPE, author = "Henri Darmon", title = "Note on a Polynomial of {Emma Lehmer}", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "795--800", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R20 (11G16)", MRnumber = "91i:11149", MRreviewer = "Lawrence Washington", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Harvard Univ., Cambridge, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fundamental units; Gauss sums; Gaussian; modular curves; number theory; periods; polynomial; polynomials; prime conductor; real quintic fields", treatment = "T Theoretical or Mathematical", } @Article{DiazyDiaz:1991:TTR, author = "F. {Diaz y Diaz}", title = "A Table of Totally Real Quintic Number Fields", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "801--808, S1--S12", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R21 11R29 11R32)", MRnumber = "91h:11155", MRreviewer = "H. Yokoi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Math. Pures, Bordeaux I Univ., Talence, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "closure; dihedral group; Galois; mathematics computing; nonisomorphic fields; number theory; real quintic number fields", treatment = "P Practical", } @Article{Jakubec:1991:EIN, author = "Stanislav Jakubec and Juraj Kostra and Karol Nemoga", title = "On the existence of an integral normal basis generated by a unit in prime extensions of rational numbers", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "809--815", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11R20)", MRnumber = "91h:11117", MRreviewer = "Jonathan W. Sands", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Inst. of Math., Slovak Acad. of Sci., Bratislava, Czechoslovakia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational method; cyclic extension; integral normal basis; number theory; prime extensions; rational numbers", treatment = "T Theoretical or Mathematical", } @Article{Kurita:1991:PNW, author = "Yoshiharu Kurita and Makoto Matsumoto", title = "Primitive $t$-Nomials $(t = 3, 5)$ Over ${GF}(2)$ Whose Degree is a {Mersenne} Exponent $\leq 44497$", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "817--821", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T06 (11A41)", MRnumber = "91h:11138", MRreviewer = "S. D. Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Nat. Res. Lab. of Meteorol., Ibaraki, Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cray X-MP; mathematics computing; Mersenne exponents; number theory; polynomials; primitive trinomials; sieve", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Vallee:1991:GES, author = "Brigitte Vall{\'e}e", title = "Generation of elements with small modular squares and provably fast integer factoring algorithms", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "823--849", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (68Q25)", MRnumber = "91i:11183", MRreviewer = "Eric Bach", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory); C4190 (Other numerical methods); C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. De Math., Caen Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; computational complexity; computationally hard; congruences of squares; integer factorization algorithms; large composite number; mathematics computing; number; numerical methods; polynomial-time algorithms; probabilistic complexity bound; problem; provably fast integer factoring; randomized algorithm; small modular squares; theory", treatment = "T Theoretical or Mathematical", } @Article{Ernvall:1991:CIP, author = "R. Ernvall and T. Mets{\"a}nkyl{\"a}", title = "Cyclotomic invariants for primes between $125\,000$ and $150\,000$", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "851--858", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11B68 11R18 11R23)", MRnumber = "91h:11157", MRreviewer = "Jonathan W. Sands", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. of Math., Turku Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclotomic invariants; irregular primes; mathematics computing; number theory", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Costello:1991:APF, author = "Patrick Costello", title = "Amicable Pairs of the Form $(i, 1)$", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "859--865", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11Y70)", MRnumber = "91k:11009", MRreviewer = "Herman J. J. te Riele", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. of Math., Stat. and Comput. Sci., Eastern Kentucky Univ., Richmond, KY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "amicable pairs; mathematics computing; number theory", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Colquitt:1991:NMP, author = "W. N. Colquitt and L. {Welsh, Jr.}", title = "A New {Mersenne} Prime", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "867--870", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11Y11)", MRnumber = "91h:11006", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Houston Area Res. Centre, The Woodlands, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "mathematics computing; Mersenne prime; NEC SX.2 computer; number theory", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Flammenkamp:1991:NSN, author = "Achim Flammenkamp", title = "New Sociable Numbers", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "871--873", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11Y70)", MRnumber = "92a:11004", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Fakultat fur Math., Bielefeld Univ., Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cpu hours; HP320/HP330 computers; iterates; mathematics computing; number theory; sociable groups; sociable numbers", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Nochetto:1991:SAF, author = "R. H. Nochetto and M. Paolini and C. Verdi", title = "Supplement to An Adaptive Finite Element Method for Two-Phase {Stefan} Problems in Two Space Dimensions. Part {I}: Stability and Error Estimates", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "s1--s11", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1991:CEP, author = "James H. Bramble and Joseph E. Pasciak and Jun Ping Wang and Jinchao Xu", title = "Convergence estimates for product iterative methods with applications to domain decomposition", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "1--21", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (65M55 65N22 65N55)", MRnumber = "92d:65094", MRreviewer = "I. P. Gavrilyuk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; convergence estimates; convergence of numerical methods; decomposition; domain; error-reducing operator; finite element; iterative methods; norm-reduction estimates; orthogonal projections; product iterative methods; Schwarz algorithms; second-order elliptic problems; subspaces; symmetric positive definite problems", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1991:CEM, author = "James H. Bramble and Joseph E. Pasciak and Jun Ping Wang and Jinchao Xu", title = "Convergence estimates for multigrid algorithms without regularity assumptions", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "23--45", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (65N55)", MRnumber = "91m:65158", MRreviewer = "Rong Hua Li", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; assumption; coefficients; convergence of numerical methods; convergence rate estimates; differential equations; irregular; large jumps coefficients; multigrid refinement applications; multigrip algorithms; nodes; rate of convergence estimates; smooth; symmetric positive definite problems", treatment = "T Theoretical or Mathematical", } @Article{ORiordan:1991:GUC, author = "Eugene O'Riordan and Martin Stynes", title = "A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "47--62", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35B25 35B45)", MRnumber = "92j:65174", MRreviewer = "Reinhard Scholz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4425 (Convection); A4725Q (Convection and heat transfer); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math., Regional Tech. Coll., Dundalk, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convection; convection-diffusion problem; convection-dominated; convergence of numerical methods; diffusion; energy norm; finite element analysis; Galerkin finite element method; global; globally uniformly convergent finite element method; perturbation parameter; singularly perturbed elliptic problem; trial functions; two dimensions", treatment = "T Theoretical or Mathematical", } @Article{Dawson:1991:FDD, author = "Clint N. Dawson and Qiang Du and Todd F. Dupont", title = "A finite difference domain decomposition algorithm for numerical solution of the heat equation", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "63--71", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N06 (65N55)", MRnumber = "91m:65254", MRreviewer = "Zhong Xiong Pan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4410 (Heat conduction (models, phenomenological description)); A0260 (Numerical approximation and analysis); A0230 (Function theory, analysis)", corpsource = "Dept. of Math., Chicago Univ., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backward differencing; difference domain decomposition algorithm; difference equations; discretization; finite; heat; heat equation; interior; maximum norm error estimates; numerical; one space dimension; parameters; solution; time steps; two space dimensions; values", treatment = "T Theoretical or Mathematical", } @Article{Nochetto:1991:AFE, author = "R. H. Nochetto and M. Paolini and C. Verdi", title = "An adaptive finite element method for two-phase {Stefan} problems in two space dimensions. Part {I}: {Stability} and error estimates", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "73--108, S1--S11", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N50 (65N12 65N30 80A22)", MRnumber = "92a:65322", MRreviewer = "Peter B. Monk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4430 (Heat transfer in inhomogeneous media and through interfaces); A0260 (Numerical approximation and analysis)", corpsource = "Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2D; adaptive element method; adaptive local mesh refinement algorithm; auxiliary quasi-optimal pointwise; consecutive; convergence of numerical methods; convergence rate; discrete free boundary; discrete interfaces; element analysis; error; error analysis; error estimate; estimates; finite; first derivatives; heat transfer; Laplace operator; locations; mesh selection; meshes; natural energy; numerical tests; phase Stefan problems; pointwise interpolation errors; refined region; second derivatives; Sobolev norms; spaces; spatial degrees of freedom; stability; two space dimensions; two-", treatment = "T Theoretical or Mathematical", } @Article{deFrutos:1991:PMG, author = "J. {De Frutos} and T. Ortega and J. M. Sanz-Serna", title = "Pseudospectral method for the ``good'' {Boussinesq} equation", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "109--122", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (65M70)", MRnumber = "92b:65068", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); A0260 (Numerical approximation and analysis)", corpsource = "Valladolid Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; difference schemes; finite; fully discrete; good Boussinesq equation; nonlinear stability; pseudospectral scheme; solitons; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Gunzburger:1991:AFE, author = "M. D. Gunzburger and L. Hou and T. P. Svobodny", title = "Analysis and finite element approximation of optimal control problems for the stationary {Navier--Stokes} equations with distributed and {Neumann} controls", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "123--151", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K10 (35B37 35Q30 49M25 65N30 76D05 76M10)", MRnumber = "91m:65182", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); C1330 (Optimal control); C4130 (Interpolation and function approximation); C3120T (Level, flow and volume); C7320 (Physics and Chemistry); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Virginia Polytech. Inst. and State Univ., Blacksburg, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; approximation theory; candidate flows; control; dissipation; distributed controls; element approximation; error analysis; estimates; finite; finite element; flow control; functional minimisation; L/sup 4/-distance; Lagrange; multiplier; Navier--Stokes equations; Neumann controls; optimal; optimal control problems; optimal error; partial differential equations; physics computing; stationary; viscous", treatment = "T Theoretical or Mathematical", } @Article{Kroner:1991:ABC, author = "Dietmar Kr{\"o}ner", title = "Absorbing boundary conditions for the linearized {Euler} equations in {2-D}", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "153--167", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (76M25 76N15)", MRnumber = "91m:65300", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Heidelberg Univ., Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2-D; approximate absorbing boundary conditions; decoupled system; differential equations; initial; initial value problems; nonlinear Euler equations; ODEs; unsteady linearized Euler equations; value problem", treatment = "T Theoretical or Mathematical", } @Article{Coquel:1991:CFD, author = "Fr{\'e}d{\'e}ric Coquel and Philippe {Le Floch}", title = "Convergence of finite difference schemes for conservation laws in several space dimensions: the corrected antidiffusive flux approach", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "169--210", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M06 (35L65 76L05 76M20)", MRnumber = "91m:65229", MRreviewer = "Gholam-Ali Zakeri", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis)", corpsource = "Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "antidiffusive flux; conservation laws; convergence; convergence of numerical methods; corrected; difference equations; E-scheme; finite difference schemes; scalar nonlinear hyperbolic; sharp entropy inequalities; space dimensions", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Lenferink:1991:GRC, author = "H. W. J. Lenferink and M. N. Spijker", title = "On a generalization of the resolvent condition in the {Kreiss} matrix theorem", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "211--220", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F35 (15A60 65L20 65M06)", MRnumber = "92b:65036", MRreviewer = "Cs. J. Heged\H us", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Leiden Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; inequality; Kreiss matrix theorem; matrix algebra; numerical methods; rational function; resolvent condition; spectral norm; stability analysis; unit disk; upper bound", treatment = "T Theoretical or Mathematical", } @Article{Lenferink:1991:USR, author = "H. W. J. Lenferink and M. N. Spijker", title = "On the use of stability regions in the numerical analysis of initial value problems", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "221--237", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L20 (65M12)", MRnumber = "91m:65217", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4410 (Heat conduction (models, phenomenological description)); A0260 (Numerical approximation and analysis); A0230 (Function theory, analysis); A0210 (Algebra, set theory, and graph theory)", corpsource = "Leiden Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary value problems; convergence of numerical methods; differential equations; error growth; heat equation; heat transfer; initial value problems; linear differential equations; matrices; matrix algebra; maximum; norm; numerical analysis; one-step methods; ordinary differential equations; partial differential equations; stability; stability regions; stepsize", treatment = "T Theoretical or Mathematical", } @Article{Garcia-Archilla:1991:FDF, author = "B. Garc{\'i}a-Archilla and J. M. Sanz-Serna", title = "A finite difference formula for the discretization of $d^3/dx^3$ on nonuniform grids", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "239--257", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M06", MRnumber = "91j:65143", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Valladolid Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; difference equations; discretization; evolutionary; finite difference formula; five-point difference; formula; nonuniform grids; periodic boundary conditions; problems; regular grids; second-order convergence; skew-; stationary problems; supraconvergent; symmetric schemes; third derivative operator", treatment = "T Theoretical or Mathematical", } @Article{Lawrence:1991:PVC, author = "Jim Lawrence", title = "Polytope Volume Computation", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "259--271", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "52B55", MRnumber = "91j:52019", MRreviewer = "Alan M. Frieze", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "George Mason Univ., Fairfax, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "binary digits; combinatorial form; combinatorial mathematics; computational geometry; convex polytopes; Gram relation; linear inequalities; n-cube; polytope volume; projective image; rational entries; solution set; volume computation; volume denominator", treatment = "T Theoretical or Mathematical", } @Article{Reichel:1991:DLS, author = "L. Reichel and G. S. Ammar and W. B. Gragg", title = "Discrete least squares approximation by trigonometric polynomials", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "273--289", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15", MRnumber = "91j:65027", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Kentucky Univ., Lexington, KY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic polynomials; approximation; arbitrary distinct; arithmetic operations; computational complexity; discrete least squares; eigenvalues and eigenfunctions; inverse eigenproblem; least squares approximations; matrix algebra; nodes; polynomials; real-valued function; trigonometric polynomials; unit circle; unitary Hessenberg matrices", treatment = "T Theoretical or Mathematical", } @Article{Fiorot:1991:SPC, author = "J. C. Fiorot and J. Tabka", title = "Shape-preserving ${C}^2$ cubic polynomial interpolating splines", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "291--298", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D07 (65D17)", MRnumber = "91j:65021", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. de Math. Appliqu{\'e}es et de Calcul Sci., Univ. de Valenciennes et du Hainaut Cambresis, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convex data; inequalities; interpolating splines; interpolation; linear; monotonic data; polynomials; shape-preserving C/sup 2/ cubic polynomial; splines; splines (mathematics); two unknowns", treatment = "T Theoretical or Mathematical", } @Article{Alfeld:1991:SMS, author = "Peter Alfeld and Maritza Sirvent", title = "The structure of multivariate superspline spaces of high degree", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "299--308", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D07 (41A15)", MRnumber = "92m:65017", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Utah Univ., Salt Lake City, UT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differentiable; global smoothness; independent variables; k-dimensional; m-face; minimally; multivariate superspline spaces; polynomial degree; polynomials; simplex; splines (mathematics); supported basis; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1991:CSCa, author = "Walter Gautschi", title = "A class of slowly convergent series and their summation by {Gaussian} quadrature", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "309--324", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (33C45 44A10)", MRnumber = "91j:65049", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); convergence of numerical methods; Einstein weight functions; Fermi; fractional power; function; Gaussian quadrature; general term; integration; Laplace transformation; rational; series; slowly convergent series; summation; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1991:CSCb, author = "Walter Gautschi", title = "On certain slowly convergent series occurring in plate contact problems", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "325--338", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "40A05 (44A10 73K10 73T05)", MRnumber = "91j:40002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1130 (Integral transforms); C4100 (Numerical analysis)", corpsource = "Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); complex; convergence of numerical methods; Laplace transforms; plate contact; problems; series; series summing; slowly convergent series", treatment = "T Theoretical or Mathematical", } @Article{Hayes:1991:RRO, author = "David R. Hayes", title = "On the Reduction of Rank-One {Drinfeld} Modules", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "339--349", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G09 (11G20 11R58)", MRnumber = "91j:11046", MRreviewer = "Ernst-Ulrich Gekeler", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Massachusetts Univ., Amherst, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic curves; finite fields; j-invariant; polynomials; rank-one Drinfield modules; reduction", treatment = "T Theoretical or Mathematical", } @Article{Hung:1991:EPD, author = "David C. Hung", title = "Even Positive Definite Unimodular Quadratic Forms over ${\mathbb Q}(\sqrt 3)$", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "351--368", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11E12 (11E41)", MRnumber = "92a:11043", MRreviewer = "A. G. Earnest", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0550 (Lattice theory and statistics; Ising problems); A0210 (Algebra, set theory, and graph theory)", corpsource = "State Univ. of New York, Binghamton, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adjacency graph; completeness verification; dyadic; even positive definite unimodular quadratic forms; even unimodular lattices; genus; graph theory; lattice theory and statistics; list; mass formula; number theory; prime; series (mathematics); Siegel; theta series", treatment = "T Theoretical or Mathematical", } @Article{Gollan:1991:MRT, author = "Holger W. Gollan", title = "The $5$-modular representations of the {Tits} simple group in the principal block", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "369--386", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C20 (20E32)", MRnumber = "91j:20027", MRreviewer = "Michael Klemm", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra)", corpsource = "Carleton Univ., Ottawa, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "5-modular absolutely; existence proof; explicit matrices; Green correspondents; group; group theory; irreducible representations; Janko; matrix algebra; permutation representation; positive defect; principal block; products; socle series; tensor; Tits simple group", treatment = "T Theoretical or Mathematical", } @Article{Dummit:1991:SSQ, author = "D. S. Dummit", title = "Solving Solvable Quintics", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "387--401", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12E12 (12F10)", MRnumber = "91j:12005", MRreviewer = "Ren{\'e} Schoof", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra)", corpsource = "Vermont Univ., Burlington, VT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficients; explicit resolvent sextic; Frobenius group; Galois group; group theory; irreducible polynomial; polynomials; radicals; rational; rational root; solvable quintics; symmetric group", treatment = "T Theoretical or Mathematical", } @Article{Maiorana:1991:CCR, author = "James A. Maiorana", title = "A Classification of the Cosets of the {Reed--Muller} Code $\mathscr{R} (1, 6)$", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "403--414", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "94B05 (94-04 94B35)", MRnumber = "91j:94023", MRreviewer = "E. F. Assmus, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B6120B (Codes); B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Inst. for Defense Anal., Center for Commun, Res., Princeton, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "action; affine rearrangements; classification; codes; cosets; distribution; equivalence classes; group; group theory; orbit representatives; ordered list; Reed--Muller code; set theory; symmetry group; transformation group; vector space; weight", treatment = "T Theoretical or Mathematical", } @Article{Dougherty:1991:CRC, author = "Randall Dougherty and Heeralal Janwa", title = "Covering Radius Computations for Binary Cyclic Codes. With microfiche supplement", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "415--434", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "94B75", MRnumber = "91j:94029", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B6120B (Codes)", corpsource = "California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "binary cyclic codes; codes; minimum distances; normality; punctured codes; redundancy; shortened", treatment = "T Theoretical or Mathematical", } @Article{Briggs:1991:PCF, author = "Keith Briggs", title = "A Precise Calculation of the {Feigenbaum} Constants", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "435--439", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (39B12 58F14 65Q05)", MRnumber = "91j:11117", MRreviewer = "Jeffrey O. Shallit", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., La Trobe Univ., Bundoora, Vic., Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Feigenbaum constants; Feigenbaum functional equation; functional equations; iteration; iterative methods; multiple precision floating point; period-doubling bifurcations; real functions", treatment = "T Theoretical or Mathematical", } @Article{Lasiecka:1991:SNA, author = "I. Lasiecka and R. Triggiani", title = "Supplement to Numerical Approximations of Algebraic {Riccati} Equations for Abstract Systems Modelled by Analytic Semigroups, and Applications", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "s13--s37", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Saavedra:1991:VFM, author = "Patricia Saavedra and L. Ridgway Scott", title = "Variational formulation of a model free-boundary problem", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "451--475", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35R35 (35J20 65N30 76M30)", MRnumber = "92a:35166", MRreviewer = "Shuzi Zhou", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A4760 (Flows in ducts, channels, and conduits); B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Univ. Autonoma Metropolitana, Mexico City, Mexico", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "confined flow; error analysis; finite element; finite element analysis; fluid dynamics; free-surface problem; method; numerical approximation; surface tension; viscous liquid", treatment = "T Theoretical or Mathematical", } @Article{Temam:1991:SAN, author = "R. Temam", title = "Stability analysis of the nonlinear {Galerkin} method", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "477--505", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (35A40 35B35 76D05 76M25)", MRnumber = "92b:65073", MRreviewer = "Michael Fr{\"o}hner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Paris-Sud, Orsay, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; equations; nonlinear differential; nonlinear evolution equations; nonlinear Galerkin method; numerical; schemes; spatial discretization; time discretization", treatment = "T Theoretical or Mathematical", } @Article{Chou:1991:MFE, author = "So-Hsiang Chou and Qian Li", title = "Mixed finite element methods for compressible miscible displacement in porous media", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "507--527", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76M10 (65N30 76N10 76S05)", MRnumber = "92k:76057", MRreviewer = "Peter Knabner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4755M (Flow through porous media); A4740 (Compressible flows; shock and detonation phenomena); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Bowling Green State Univ., OH, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "compressible; compressible flow; differential system; error analysis; error estimates; finite element analysis; finite element methods; flow through porous media; miscible displacement; mixed finite element method; partial differential equations; porous media", treatment = "T Theoretical or Mathematical", } @Article{Falk:1991:NFE, author = "Richard S. Falk", title = "Nonconforming finite element methods for the equations of linear elasticity", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "529--550", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (73C02 73V05)", MRnumber = "92a:65290", MRreviewer = "R. Kodn{\'a}r", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4630C (Elasticity); C4185 (Finite element analysis); C4110 (Error analysis in numerical methods)", corpsource = "Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; elasticity; error analysis; error estimates; finite element analysis; linear elasticity; nonconforming finite element methods; piecewise polynomials; Poisson; Poisson ratio; rate; ratio; traction boundary conditions", treatment = "T Theoretical or Mathematical", } @Article{Cockburn:1991:CPF, author = "Bernardo Cockburn", title = "On the Continuity in ${BV} ({\Omega})$ of the ${L}^2$-Projection into Finite Element Spaces", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "551--561", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (46E99 47B38 65M60)", MRnumber = "92a:65288", MRreviewer = "Long An Ying", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuity; finite element analysis; finite element spaces; L/sup 2/-projection", treatment = "T Theoretical or Mathematical", } @Article{Xu:1991:CCW, author = "Jinchao Xu", title = "Counterexamples concerning a weighted ${L}^2$ projection", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "563--568", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65M60)", MRnumber = "92b:65090", MRreviewer = "J. T. Oden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); B0290B (Error analysis in numerical methods); C4185 (Finite element analysis); C4110 (Error analysis in numerical methods)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; finite element analysis; L/sup 2/-projection; stability estimates", treatment = "T Theoretical or Mathematical", } @Article{Viallon:1991:CTP, author = "Marie-Claude Viallon", title = "Convergence of the two-point upstream weighting scheme", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "569--584", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (35L65)", MRnumber = "92d:65156", MRreviewer = "A. O. Oganesyan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4755M (Flow through porous media)", corpsource = "Univ. Saint Etienne, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; entropy solution; flow through porous media; fluid flows; laws; petroleum engineering; porous media; scalar hyperbolic conservation; upstream weighting scheme", treatment = "T Theoretical or Mathematical", } @Article{Funaro:1991:CRP, author = "Daniele Funaro and David Gottlieb", title = "Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "585--596", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M70 (76M10)", MRnumber = "92a:65261", MRreviewer = "R. Manohar", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Pavia Unv., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; convergence of numerical methods; equation; error analysis; error estimates; partial differential equations; pseudospectral approximations; pseudospectral Chebyshev approximation; pseudospectral Legendre method; scalar hyperbolic", treatment = "T Theoretical or Mathematical", } @Article{Funaro:1991:ASD, author = "Daniele Funaro and Otared Kavian", title = "Approximation of some diffusion evolution equations in unbounded domains by {Hermite} functions", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "597--619", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35K60 (35A35 35K05 65N12 65N35)", MRnumber = "92k:35156", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Pavia Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; convergence; convergence of numerical methods; function approximation; heat equation; Hermite polynomials; polynomials; pseudospectral; spectral approximations; stability", treatment = "T Theoretical or Mathematical", } @Article{Collins:1991:OOE, author = "Charles Collins and Mitchell Luskin", title = "Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "621--637", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (35J20 35J70 65N30 73C99 73V05)", MRnumber = "92a:65276", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); B0290B (Error analysis in numerical methods); C4185 (Finite element analysis); C4110 (Error analysis in numerical methods)", corpsource = "Michigan Univ., Ann Arbor, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; error analysis; error estimates; finite element analysis; finite element approximation; nonconvex; numerical approximation; techniques; variational; variational problem", treatment = "T Theoretical or Mathematical", } @Article{Lasiecka:1991:NAA, author = "I. Lasiecka and R. Triggiani", title = "Numerical approximations of algebraic {Riccati} equations for abstract systems modelled by analytic semigroups, and applications", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "639--662, S13--S37", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "47N70 (47D06 65J10 65L99 93C25)", MRnumber = "92d:47095", MRreviewer = "Vilmos Komornik", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Virginia Univ., Charlottesville, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic Riccati operator equations; analytic semigroups; approximation; approximation theory; coefficient; dynamic optimization; numerical approximations; Riccati operators; theory; unbounded", treatment = "T Theoretical or Mathematical", } @Article{Cooper:1991:ISI, author = "G. J. Cooper", title = "On the implementation of singly implicit {Runge--Kutta} methods", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "663--672", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06 (65Y05)", MRnumber = "92a:65214", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sussex Univ., Brighton, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; iteration; iterative methods; methods; modified Newton method; Runge--Kutta; Runge--Kutta methods; scheme", treatment = "T Theoretical or Mathematical", } @Article{Alexander:1991:MNM, author = "Roger Alexander", title = "The modified {Newton} method in the solution of stiff ordinary differential equations", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "673--701", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (34A50 34A65 65H10)", MRnumber = "92a:65207", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; equations; iterative methods; modified Newton iteration; modified Newton method; stiff ordinary differential", treatment = "T Theoretical or Mathematical", } @Article{Reichel:1991:CVS, author = "Lothar Reichel and Gerhard Opfer", title = "{Chebyshev--Vandermonde} Systems", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "703--721", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30 (65D10)", MRnumber = "92a:65132", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); B0290F (Interpolation and function approximation); C4140 (Linear algebra); C4130 (Interpolation and function approximation)", corpsource = "Kentucky Univ., Lexington, KY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev polynomials; Chebyshev-; interpolation; matrix algebra; numerical behavior; polynomial; polynomials; progressive algorithms; Vandermonde matrices; Vandermonde matrix; Vandermonde systems", treatment = "T Theoretical or Mathematical", } @Article{Walker:1991:IDG, author = "Peter Walker", title = "Infinitely differentiable generalized logarithmic and exponential functions", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "723--733", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33E99 (65Q05)", MRnumber = "92d:33049", MRreviewer = "F. W. J. Olver", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Sultan Qaboos Univ., Muscat, Oman", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differentiable; exponential functions; functional equations; infinitely; logarithmic functions", treatment = "T Theoretical or Mathematical", } @Article{LEcuyer:1991:SPT, author = "Pierre L'Ecuyer and Shu Tezuka", title = "Structural properties for two classes of combined random number generators", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "735--746", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10", MRnumber = "92a:65034", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4190 (Other numerical methods)", corpsource = "Montreal Univ., Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distinct prime moduli; geometrical behavior; linear congruential generators; random number generation; random number generators", treatment = "T Theoretical or Mathematical", } @Article{Doll:1991:TOL, author = "Helmut Doll and Jim Hoste", title = "A Tabulation of Oriented Links. With microfiche supplement", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "747--761", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "57M25", MRnumber = "92b:57009", MRreviewer = "G. Burde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "California Univ., Santa Barbara, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "classical links; knots; oriented links; prime links, nonsplit links; skein polynomials; tabulation; topology", treatment = "T Theoretical or Mathematical", } @Article{Washington:1991:FCQ, author = "Lawrence C. Washington", title = "A family of cyclic quartic fields arising from modular curves", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "763--775", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11G05)", MRnumber = "92a:11120", MRreviewer = "Joseph H. Silverman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4260 (Computational geometry)", corpsource = "Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational geometry; cyclic quartic fields; cyclotomic period; group theory; modular curves; polynomials; quadratic subfield; quartic polynomial", treatment = "T Theoretical or Mathematical", } @Article{Petho:1991:CSF, author = "Attila Peth{\"o}", title = "Complete solutions to families of quartic {Thue} equations", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "777--798", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25", MRnumber = "92e:11023", MRreviewer = "Nikos Tzanakis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Kossuth Lajos Univ., Debrecen, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; number theory; polynomials; quartic Thue equations; Thue equation; unit rank 3", treatment = "T Theoretical or Mathematical", } @Article{Tzanakis:1991:SST, author = "N. Tzanakis and B. M. M. {de Weger}", title = "Solving a Specific {Thue--Mahler} Equation", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "799--815", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (11D61 11Y50)", MRnumber = "92a:11028", MRreviewer = "A. Peth{\"o}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Crete Univ., Iraklion, Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; Diophantine; Diophantine equation; number theory; Thue--Mahler equation", treatment = "T Theoretical or Mathematical", } @Article{Smyth:1991:IOM, author = "C. J. Smyth", title = "Ideal 9th-order multigrades and {Letac}'s elliptic curve", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "817--823", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D72 (11G05)", MRnumber = "92b:11019", MRreviewer = "Joseph H. Silverman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4260 (Computational geometry)", corpsource = "Edinburgh Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "9th-order; computational geometry; elliptic curve; multigrades; rational points", treatment = "T Theoretical or Mathematical", } @Article{Gordon:1991:DLE, author = "Daniel M. Gordon and Carl Pomerance", title = "The distribution of {Lucas} and elliptic pseudoprimes", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "825--838", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N80 (11B39 11G05 11Y11)", MRnumber = "92h:11081", MRreviewer = "M. Ram Murty", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Georgia Univ., Athens, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "counting function; elliptic pseudoprimes; Lucas pseudoprimes; number theory", treatment = "T Theoretical or Mathematical", } @Article{Fee:1991:PFW, author = "Greg Fee and Andrew Granville", title = "The prime factors of {Wendt}'s binomial circulant determinant", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "839--848", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y50 (11C20 11D41 11R18 11Y40)", MRnumber = "92f:11183", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0210 (Algebra); C1160 (Combinatorial mathematics); C1110 (Algebra)", corpsource = "Waterloo Univ., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number fields; binomial circulant determinant; circulant; matrix; matrix algebra; number theory; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Moews:1991:SAC, author = "David Moews and Paul C. Moews", title = "A Search for Aliquot Cycles Below $10^{10}$", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "849--855", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y55 (11B83)", MRnumber = "92e:11151", MRreviewer = "Herman J. J. te Riele", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics); C1160 (Combinatorial mathematics)", corpsource = "California Univ., Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "4-cycles; aliquot k-cycles; number theory; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Brent:1991:ITL, author = "R. P. Brent and G. L. Cohen and H. J. J. {Te Riele}", title = "Improved techniques for lower bounds for odd perfect numbers", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "857--868", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11Y70)", MRnumber = "92c:11004", MRreviewer = "H. G. Diamond", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics); C1160 (Combinatorial mathematics)", corpsource = "Australian Nat. Unv., Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "lower bounds; number theory; odd perfect numbers", treatment = "T Theoretical or Mathematical", } @Article{Colbourn:1992:STSa, author = "Charles J. Colbourn and Spyros S. Magliveras and Rudolf A. Mathon", title = "Supplement to {``Transitive Steiner and Kirkman triple systems'' by Charles J. Colbourn, Spyros S. Magliveras, and Rudolf A. Mathon}", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "S23--S27", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gatermann:1992:SEF, author = "Karin Gatermann and Christoph Hoffmann and Gerhard Opfer", title = "Supplement to {``Explicit Faber polynomials on circular sectors''}", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "S1--S6", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehman:1992:SLP, author = "J. Larry Lehman", title = "Supplement to {``Levels of positive definite ternary quadratic forms'' by J. Larry Lehman}", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "S17--S22", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Niederreiter:1992:SEE, author = "Harald Niederreiter", title = "Supplement to {``The existence of efficient lattice rules for multidimensional numerical integration'' by Harald Niederreiter}", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "S7--S16", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kechkar:1992:ALS, author = "Nasserdine Kechkar and David Silvester", title = "Analysis of locally stabilized mixed finite element methods for the {Stokes} problem", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "1--10", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (65N30 76D07 76M10)", MRnumber = "92e:65138", MRreviewer = "M. M. Sussman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Levillain:1992:EAM, author = "Vincent Levillain", title = "Eigenvalue approximation by a mixed method for resonant inhomogeneous cavities with metallic boundaries", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "11--20", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N25 (35P15 65N30 78A25)", MRnumber = "92f:65130", MRreviewer = "N. L. Vulchanov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0350D (Maxwell theory: general mathematical aspects); A0260 (Numerical approximation and analysis); A0210 (Algebra, set theory, and graph theory)", corpsource = "Centre de Math. Appliqu{\'e}es, Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cavity resonators; conductor; convergence of numerical methods; disconnected boundary cavity; eigenvalue approximation; eigenvalues; eigenvalues and eigenfunctions; electromagnetism; element analysis; finite; inhomogeneous cavities; Maxwell problem; metallic boundaries; mixed finite elements; mixed method; null; perfect; resonant; second order convergence rate", treatment = "T Theoretical or Mathematical", } @Article{Dawson:1992:EIC, author = "Clint N. Dawson and Todd F. Dupont", title = "Explicit\slash implicit conservative {Galerkin} domain decomposition procedures for parabolic problems", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "21--34", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65N30)", MRnumber = "92h:65183", MRreviewer = "T. R. Hopkins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hundsdorfer:1992:UCS, author = "Willem Hundsdorfer", title = "Unconditional convergence of some {Crank--Nicolson} {LOD} methods for initial-boundary value problems", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "35--53", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (65M20)", MRnumber = "92e:65124", MRreviewer = "E. H. Twizell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{VanDaalen:1992:VPC, author = "Edwin F. G. {van Daalen} and Jan Broeze and Embrecht {van Groesen}", title = "Variational principles and conservation laws in the derivation of radiation boundary conditions for wave equations", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "55--71", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35L05 (35A15 35L65 35Q53 65N99)", MRnumber = "92e:35098", MRreviewer = "W. F. Ames", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Maritime Res. Inst. Netherlands, Wageningen, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; boundary conditions; boundary-value problems; conditions; conservation laws; equations; Klein--Gordon equation; Lagrangian variational principle; partial differential; radiation; variational principles; variational techniques; wave; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Broeze:1992:RBC, author = "Jan Broeze and Edwin F. G. {Van Daalen}", title = "Radiation boundary conditions for the two-dimensional wave equation from a variational principle", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "73--82", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35L05 (35A15 35L65 65N99)", MRnumber = "92e:35099", MRreviewer = "W. F. Ames", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Delft Hydraulics, Emmeloord, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "local energy flux velocity; radiation boundary condition; two-dimensional wave equation; variational principle; variational techniques; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Glassey:1992:CEP, author = "R. T. Glassey", title = "Convergence of an energy-preserving scheme for the {Zakharov} equations in one space dimension", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "83--102", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (35Q60)", MRnumber = "92e:65123", MRreviewer = "Benoit Perthame", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hou:1992:NDV, author = "Thomas Y. Hou", title = "A New Desingularization for Vortex Methods", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "103--117", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76M25 (65M12 76C05)", MRnumber = "92e:76046", MRreviewer = "V. Soundalgekar", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Crisci:1992:SRO, author = "M. R. Crisci and E. Russo and A. Vecchio", title = "Stability results for one-step discretized collocation methods in the numerical treatment of {Volterra} integral equations", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "119--134", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05 45L05)", MRnumber = "92h:65197", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{VanDerHouwen:1992:EDI, author = "P. J. {van der Houwen} and B. P. Sommeijer and W. Couzy", title = "Embedded diagonally implicit {Runge--Kutta} algorithms on parallel computers", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "135--159", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06 (65Y05)", MRnumber = "92e:65098", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "diagonally implicit; embedded formulas; implicit relations; iteration scheme; iterative methods; lower orders; methods; parallel algorithms; parallel computers; Runge--Kutta; Runge--Kutta methods; stable", treatment = "T Theoretical or Mathematical", } @Article{Rundell:1992:RTC, author = "William Rundell and Paul E. Sacks", title = "Reconstruction techniques for classical inverse {Sturm--Liouville} problems", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "161--183", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "34A55 (34A50 34B24 65L15)", MRnumber = "92h:34034", MRreviewer = "Lance L. Littlejohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Edelman:1992:DSC, author = "Alan Edelman", title = "On the Distribution of a Scaled Condition Number", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "185--190", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "15A52 (15A12 62H10 65F99 65U05)", MRnumber = "92g:15034", MRreviewer = "E. L. Yip", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "la, nla, condition, random matrix", } @Article{Schmitt:1992:KAM, author = "Bernhard A. Schmitt", title = "{Krylov} Approximations for Matrix Square Roots in Stiff Boundary Value Problems", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "191--212", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34A65 65F30)", MRnumber = "92e:65109", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, matrix square root, Krylov sequence", } @Article{Hong:1992:RRQ, author = "Y. P. Hong and C.-T. Pan", title = "Rank-revealing {QR} factorizations and the singular value decomposition", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "213--232", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05", MRnumber = "93d:65031", MRreviewer = "John Todd", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "la, nla, qrd, rank determination, svd", } @Article{Chan:1992:CPT, author = "Raymond H. Chan and Man-Chung Yeung", title = "Circulant preconditioners for {Toeplitz} matrices with positive continuous generating functions", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "233--240", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65F15)", MRnumber = "92e:65040", MRreviewer = "Henry Wolkowicz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gatermann:1992:EFP, author = "Karin Gatermann and Christoph Hoffmann and Gerhard Opfer", title = "Explicit {Faber} Polynomials on Circular Sectors", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "241--253, S1--S6", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30C10 (30-04 30C20 65A05)", MRnumber = "92h:30011", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C7310 (Mathematics)", corpsource = "Konrad-Zuse-Zentrum fur Informationstechnik, Berlin, Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "area two-norm; circular sectors; explicit computation; Faber polynomials; graphs; line two-; norm; polynomials; symbol manipulation; tables; uniform norms", treatment = "T Theoretical or Mathematical", } @Article{Chui:1992:FSA, author = "C. K. Chui and J. St{\"o}ckler and J. D. Ward", title = "A {Faber} Series Approach to Cardinal Interpolation", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "255--273", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (41A58)", MRnumber = "92e:41001", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Strain:1992:FLT, author = "John Strain", title = "A fast {Laplace} transform based on {Laguerre} functions", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "275--283", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "44A10 (33C45 44-04 65R10)", MRnumber = "92e:44001", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wasilkowski:1992:PAI, author = "G. W. Wasilkowski and F. Gao", title = "On the power of adaptive information for functions with singularities", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "285--304", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (62L12 65D30)", MRnumber = "92f:65027", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Niederreiter:1992:EEL, author = "Harald Niederreiter", title = "The existence of efficient lattice rules for multidimensional numerical integration", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "305--314, S7--S16", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (11K45)", MRnumber = "92e:65023", MRreviewer = "George F. Corliss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bohman:1992:FRP, author = "Jan Bohman and Carl-Erik Fr{\"o}berg", title = "The ${\Gamma}$-function revisited: power series expansions and real-imaginary zero lines", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "315--322", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33B15 (11Y70 65D20)", MRnumber = "92e:33001", MRreviewer = "A. de Castro Brzezicki", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Traub:1992:MCA, author = "J. F. Traub and H. Wo{\'z}niakowski", title = "The {Monte Carlo} algorithm with a pseudorandom generator", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "323--339", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C05 (65C10)", MRnumber = "92e:65007", MRreviewer = "J. Spanier", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C1140G (Monte Carlo methods)", corpsource = "Dept. of Comput. Sci., Columbia Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generator; integration; linear congruential generator; Monte Carlo algorithm; Monte Carlo methods; multivariate integrals; pseudorandom; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Chaladus:1992:DLP, author = "Stefan Cha{\l}adus", title = "On the densest lattice packing of centrally symmetric octahedra", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "341--345", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11H31 (52C07)", MRnumber = "92f:11087", MRreviewer = "Rudolf Scharlau", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A6150E (Crystal symmetry; models and space groups, and crystalline systems and classes); A6150L (Crystal binding); A0550 (Lattice theory and statistics; Ising problems)", corpsource = "Inst. of Math., Higher Sch. of Pedagogics, Kielce, Poland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "centrally symmetric octahedra; critical determinant; crystal binding; densest lattice packing; lattice constants; lattice theory and; packing constant; statistics", treatment = "T Theoretical or Mathematical", } @Article{Grady:1992:SDP, author = "Michael Grady and Morris Newman", title = "Some divisibility properties of the subgroup counting function for free products", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "347--353", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B50 (20E06)", MRnumber = "93e:11026", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Jakubec:1992:WEC, author = "Stanislav Jakubec and Franti{\v{s}}ek Marko", title = "{Witt} equivalence classes of quartic number fields", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "355--368", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11E81 (11E08 11E12 11R16)", MRnumber = "92e:11031", MRreviewer = "K. Szymiczek", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shoup:1992:SPR, author = "Victor Shoup", title = "Searching for Primitive Roots in Finite Fields", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "369--380", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T06 (11Y16)", MRnumber = "92e:11140", MRreviewer = "Rudolf Lidl", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Skoruppa:1992:CSM, author = "Nils-Peter Skoruppa", title = "Computations of {Siegel} Modular Forms of Genus Two", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "381--398", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F46 (11F60 11F66)", MRnumber = "92e:11041", MRreviewer = "Shigeaki Tsuyumine", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehman:1992:LPD, author = "J. Larry Lehman", title = "Levels of Positive Definite Ternary Quadratic Forms", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "399--417, S17--S22", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11E20", MRnumber = "92f:11057", MRreviewer = "Jorge F. Morales", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Olivier:1992:CSF, author = "M. Olivier", title = "The computation of sextic fields with a cubic subfield and no quadratic subfield", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "419--432", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R21 (11R32 11Y40)", MRnumber = "92e:11119", MRreviewer = "Enric Nart", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Peralta:1992:DQR, author = "Ren{\'e} Peralta", title = "On the distribution of quadratic residues and nonresidues modulo a prime number", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "433--440", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11A15)", MRnumber = "93c:11115", MRreviewer = "Eric Bach", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Colbourn:1992:TSK, author = "Charles J. Colbourn and Spyros S. Magliveras and Rudolf A. Mathon", title = "Transitive {Steiner} and {Kirkman} triple systems of order $27$", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "441--449, S23--S27", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05B07", MRnumber = "92e:05016", MRreviewer = "K. T. Phelps", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dorfler:1992:SHB, author = "W. D{\"o}rfler", title = "Supplement to {``Hierarchical bases for elliptic problems''}", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "S29--S32", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Elliott:1992:SEE, author = "Charles M. Elliott and Stig Larsson", title = "Supplement to {``Error estimates with smooth and nonsmooth data for a finite element method for the Cahn--Hilliard equation''}", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "S33--S36", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ernvall:1992:SCZ, author = "R. Ernvall and T. Metsankyla", title = "Supplement to {``Computation of the zeros of $p$-adic $L$-functions''}", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "S37--S53", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mayer:1992:SMD, author = "Daniel C. Mayer", title = "Supplement to {``Multiplicities of dihedral discriminants''}", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "S55--S58", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Scott:1992:HDN, author = "L. Ridgway Scott and Shangyou Zhang", title = "Higher-Dimensional Nonnested Multigrid Methods", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "457--466", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65N30)", MRnumber = "92g:65133", MRreviewer = "Relja Vulanovi{\'c}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1992:ASM, author = "James H. Bramble and Joseph E. Pasciak", title = "The Analysis of Smoothers for Multigrid Algorithms", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "467--488", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55", MRnumber = "92f:65146", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Vassilevski:1992:HCA, author = "P. S. Vassilevski", title = "Hybrid ${V}$-cycle algebraic multilevel preconditioners", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "489--512", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F35 (65N30)", MRnumber = "92f:65057", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dorfler:1992:HBE, author = "W. D{\"o}rfler", title = "Hierarchical Bases for Elliptic Problems", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "513--529, S29--S32", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F35)", MRnumber = "92f:65134", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Guo:1992:IPG, author = "Ben Yu Guo and J. J. H. Miller", title = "Iterative and {Petrov--Galerkin} Methods for Solving a System of One-Dimensional Nonlinear Elliptic Equations", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "531--547", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65L60)", MRnumber = "92f:65087", MRreviewer = "Martin Stynes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Niijima:1992:PEB, author = "Koichi Niijima", title = "A posteriori error bounds for piecewise linear approximate solutions of elliptic equations of monotone type", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "549--560", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "92g:65112", MRreviewer = "Peter B. Monk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Duran:1992:MFE, author = "Ricardo Dur{\'a}n and Elsa Liberman", title = "On mixed finite element methods for the {Reissner--Mindlin} plate model", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "561--573", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N12 65N15 73K10 73V05)", MRnumber = "92f:65135", MRreviewer = "R. Kodn{\'a}r", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Costabel:1992:EAB, author = "M. Costabel and F. Penzel and R. Schneider", title = "Error Analysis of a Boundary Element Collocation Method for a Screen Problem in $\mathbb{R}^3$.", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "575--586", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N38 (65R20)", MRnumber = "92f:65143", MRreviewer = "Gheorghe Micula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chen:1992:FEA, author = "C. Chen and V. Thom{\'e}e and L. B. Wahlbin", title = "Finite element approximation of a parabolic integro-differential equation with a weakly singular kernel", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "587--602", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65R20)", MRnumber = "93g:65120", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Elliott:1992:EES, author = "Charles M. Elliott and Stig Larsson", title = "Error estimates with smooth and nonsmooth data for a finite element method for the {Cahn--Hilliard} equation", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "603--630, S33--S36", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M15)", MRnumber = "92f:65116", MRreviewer = "Dennis C. Jespersen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Richter:1992:DGM, author = "Gerard R. Richter", title = "The Discontinuous {Galerkin} Method with Diffusion", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "631--643", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M15 65N30 76M25 76Rxx)", MRnumber = "92i:65150", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Arnold:1992:NAD, author = "Anton Arnold and Francis Nier", title = "Numerical analysis of the deterministic particle method applied to the {Wigner} equation", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "645--669", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (35Q40 81Q05)", MRnumber = "92g:65096", MRreviewer = "Luis V{\'a}zquez", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Walkington:1992:CNF, author = "Noel J. Walkington", title = "Convergence of nonconforming finite element approximations to first-order linear hyperbolic equations", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "671--691", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65M60 76M10)", MRnumber = "92f:65141", MRreviewer = "P. K. Mahanti", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Plonka:1992:EAP, author = "G. Plonka and M. Tasche", title = "Efficient algorithms for periodic {Hermite} spline interpolation", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "693--703", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D07 (65D05)", MRnumber = "92f:65018", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Rostock Univ., Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bezier technique; de Boor algorithm; equidistant lattice; interpolation; periodic Hermite spline interpolation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1992:CAP, author = "Carl {de Boor} and Amos Ron", title = "Computational Aspects of Polynomial Interpolation in Several Variables", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "705--727", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A05 41A63)", MRnumber = "92i:65022", MRreviewer = "H. M. M{\"o}ller", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Wisconsin Univ., Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate examples; elimination; Gauss; interpolation; point set; polynomial interpolation; polynomial space; polynomials; Vandermonde matrix", treatment = "T Theoretical or Mathematical", } @Article{Dubner:1992:PAF, author = "Harvey Dubner", title = "Partitions Approximated by Finite Cosine-Series", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "729--736", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T10 (65R10)", MRnumber = "92f:65161", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{DiNatale:1992:CPM, author = "M. {Di Natale} and L. Gotusso and R. Pavani and D. Roux", title = "On the Choice of Parameter in a Method for the Inversion of {Fourier} Series", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "737--744", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T10", MRnumber = "92f:65160", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Notaris:1992:GKQ, author = "Sotirios E. Notaris", title = "On {Gauss--Kronrod} quadrature formulae of {Chebyshev} type", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "745--753", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (33C45)", MRnumber = "92h:65041", MRreviewer = "Ezio Venturino", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Temme:1992:AII, author = "N. M. Temme", title = "Asymptotic Inversion of Incomplete Gamma Functions", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "755--764", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33B20", MRnumber = "93a:33003", MRreviewer = "F. W. J. Olver", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Keiper:1992:PSE, author = "J. B. Keiper", title = "Power Series Expansions of {Riemann}'s $\xi$ Function", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "765--773", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M06", MRnumber = "92f:11116", MRreviewer = "K. Ramachandra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Eichenauer-Herrmann:1992:LBD, author = "J{\"u}rgen Eichenauer-Herrmann and Harald Niederreiter", title = "Lower bounds for the discrepancy of inversive congruential pseudorandom numbers with power of two modulus", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "775--779", month = apr, year = "1992", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153216", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "92i:65018", MRreviewer = "Peter Schatte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Tech. Hochschule Darmstadt, Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "consecutive pseudorandom numbers; discrepancy; generators; independence properties; inversive congruential; inversive congruential method; number theory; pseudorandom numbers; random number generation; serial test; statistical", treatment = "T Theoretical or Mathematical", } @Article{vanderGeer:1992:WFT, author = "Gerard {van der Geer} and Ren{\'e} Schoof and Marcel {van der Vlugt}", title = "Weight Formulas for Ternary {Melas} Codes", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "781--792", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "94B25", MRnumber = "92i:94021", MRreviewer = "Vera Pless", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B6120B (Codes); C1260 (Information theory)", corpsource = "Amsterdam Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "codes; encoding; frequencies of the weights; ternary Melas; weight formulae", treatment = "T Theoretical or Mathematical", } @Article{Gouvea:1992:FME, author = "F. Gouv{\^e}a and B. Mazur", title = "Families of Modular Eigenforms", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "793--805", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F33 (11Y35 14G20)", MRnumber = "93d:11049", MRreviewer = "Bas Edixhoven", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Goldfeld:1992:CCM, author = "Dorian Goldfeld", title = "On the Computational Complexity of Modular Symbols", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "807--814", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F67 (11Y35)", MRnumber = "93a:11042", MRreviewer = "Glenn Stevens", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory)", corpsource = "Columbia Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "compact Reimann; computational complexity; congruence subgroup; differential one-forms; geodesic lines; group theory; holomorphic; modular symbols; surfaces", treatment = "T Theoretical or Mathematical", } @Article{Ernvall:1992:CZA, author = "R. Ernvall and T. Mets{\"a}nkyl{\"a}", title = "Computation of the Zeros of $p$-{ADIC} ${L}$-Functions", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "815--830, S37--S53", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R23 (11R42 11Y70)", MRnumber = "92j:11121", MRreviewer = "Nancy Childress", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mayer:1992:MDD, author = "Daniel C. Mayer", title = "Multiplicities of Dihedral Discriminants", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "831--847, S55--S58", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R16 11R20)", MRnumber = "92f:11154", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{DelCorso:1992:FPI, author = "Ilaria {Del Corso}", title = "Factorization of Prime Ideal Extensions in Number Rings", journal = j-MATH-COMPUT, volume = "58", number = "198", pages = "849--853", month = apr, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11Y40)", MRnumber = "92i:11117", MRreviewer = "Vincent Fleckinger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", xxauthor = "Ilaria {del Corso}", xxnote = "Unfortunately, this journal uppercases author names, so capitalization of author's name is uncertain: there are no self references in the paper's bibliography to disambiguate. MathSciNet has `Del Corso' in three cases,and `del Corso' for this article; the former is probably correct, and used above.", } @Article{Bremner:1992:SNC, author = "Andrew Bremner and Richard K. Guy", title = "Supplement to {``Nu-configurations in tiling the square''}", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "S1--S20", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Colbourn:1992:SST, author = "Charles J. Colbourn and Spyros S. Magliveras and D. R. Stinson", title = "Supplement to {``Steiner triple systems of order 19 with nontrivial automorphism group''}", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "S25--S27", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dilcher:1992:SGE, author = "Karl Dilcher", title = "Supplement to {``Generalized Euler constants for arithmetical progressions''}", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "S21--S24", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Banerjee:1992:ENQ, author = "Uday Banerjee and Manil Suri", title = "The effect of numerical quadrature in the $p$-version of the finite element method", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "1--20", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (65N30)", MRnumber = "92k:65033", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); B0290M (Numerical integration and differentiation); C4185 (Finite element analysis); C4160 (Numerical integration and differentiation)", corpsource = "Syracuse Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic convergence rate; conditions; convergence of numerical methods; Dirichlet boundary; existence; finite element; finite element analysis; finite element approximation; integration; method; minimal conditions; numerical quadrature; overintegration; p-version; quadrature rules; smoothness", treatment = "T Theoretical or Mathematical", } @Article{Han:1992:AEB, author = "Hou De Han and Xiao Nan Wu", title = "The Approximation of the Exact Boundary Conditions at an Artificial Boundary for Linear Elastic Equations and its Application", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "21--37", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35J25 (35A35 65N30 73C02 73V05)", MRnumber = "92k:35076", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zhu:1992:FEA, author = "Jiang Zhu", title = "Finite element approximation to initial-boundary value problems of the semiconductor device equations with magnetic influence", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "39--62", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N12)", MRnumber = "92k:65171", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B2560B (Modelling and equivalent circuits); B0290T (Finite element analysis); B0290F (Interpolation and function approximation); B0290R (Integral equations); C4170 (Differential equations); C4185 (Finite element analysis); C4130 (Interpolation and function approximation); C7410D (Electronic engineering)", corpsource = "Dept. of Math. and Mech., Southeast Univ., Nanjing, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; carrier; conditions; convergence of numerical methods; convergence rates; densities; differential equations; electric potential; electronic engineering computing; equations; finite element analysis; initial value problems; initial-boundary value problems; magnetic fields; magnetic influence; mixed boundary; Neumann boundary; nonstationary equations; partial; semiconductor device; semiconductor device models; semiconductor device theory; smoothness; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Bernardi:1992:SSA, author = "Christine Bernardi and Giuseppe Coppoletta and Yvon Maday", title = "Some spectral approximations of two-dimensional fourth-order problems", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "63--76", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N35 (65D30 76D05 76M25)", MRnumber = "92k:65173", MRreviewer = "P. Bontoux", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Beattie:1992:ICR, author = "Christopher Beattie and W. M. Greenlee", title = "Improved Convergence Rates for Intermediate Problems", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "77--95", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "49R15 (47A75 65N12 65N25)", MRnumber = "92k:49090", MRreviewer = "Jan Bochenek", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dahmen:1992:BBS, author = "Wolfgang Dahmen and Charles A. Micchelli and Hans-Peter Seidel", title = "Blossoming begets ${B}$-spline bases built better by ${B}$-patches", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "97--115", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (41A63 65D07)", MRnumber = "93b:41014", MRreviewer = "K. G. Ivanov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Freie Univ. Berlin, Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "B-patches; continuous derivatives; linear combinations; linear span; multivariate B-; polynomials; splines; splines (mathematics); symmetric recursive algorithm", treatment = "T Theoretical or Mathematical", } @Article{Meek:1992:CST, author = "D. S. Meek and D. J. Walton", title = "Clothoid Spline Transition Spirals", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "117--133", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D07 (41A15)", MRnumber = "92k:65018", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arcs; center lines; circular; clothoid segments; clothoid spline transition spiral; curvatures; curve fitting; existence; integral equations; planar G/sup 2/ curves; route location; splines (mathematics); straight line segments; tangents; uniqueness; unit", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1992:EAU, author = "G. W. Stewart", title = "Error Analysis of {$ Q R $} Updating with Exponential Windowing", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "135--140", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F25 (65G05)", MRnumber = "92k:65074", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; algorithm; convergence of numerical methods; data; error analysis; exponential windowing; forgetting factor; matrix; new data; old; OR updating; QR factorization; rounding errors; unconditionally stable; updating", kwds = "nla, updating, qrd, rounding error", treatment = "T Theoretical or Mathematical", } @Article{Batterson:1992:LCS, author = "Steve Batterson and David Day", title = "Linear convergence in the shifted ${QR}$ algorithm", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "141--151", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15", MRnumber = "92k:65065", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "California Univ., Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "4*4 real matrices; algorithm; asymptotic convergence; convergence of numerical methods; decoupling; EISPACK exceptional shift; Francis double shift; global convergence; Hessenberg matrix; linear convergence; matrix algebra; orthogonal similarity classes; shifted QR; strategy; unreduced", treatment = "T Theoretical or Mathematical", } @Article{Feinsilver:1992:BFR, author = "P. Feinsilver and R. Schott", title = "On {Bessel} functions and rate of convergence of zeros of {Lommel} polynomials", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "153--156", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33C10 (33C45)", MRnumber = "93a:33007", MRreviewer = "Boro D{\"o}ring", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, affiliation = "Southern Illinois Univ., Carbondale, IL, USA", ajournal = "Math. Comput.", classcodes = "B0220 (Analysis); B0290P (Differential equations); B0290F (Interpolation and function approximation); B0210 (Algebra); C1120 (Analysis); C4170 (Differential equations); C4130 (Interpolation and function approximation); C1110 (Algebra)", classification = "B0210 (Algebra); B0220 (Analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1110 (Algebra); C1120 (Analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Southern Illinois Univ., Carbondale, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "average case analysis; Average case analysis; Bessel function; Bessel functions; convergence of numerical methods; convergence rate; Convergence rate; data structures; differential equations; dynamic; Dynamic data structures; Lommel; Lommel polynomials; Maple program; polynomials; rate of convergence; Rate of convergence; zeros; Zeros", thesaurus = "Bessel functions; Convergence of numerical methods; Differential equations; Polynomials", treatment = "T Theoretical or Mathematical", } @Article{Boersma:1992:NEL, author = "J. Boersma and J. P. Dempsey", title = "On the numerical evaluation of {Legendre}'s chi-function", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "157--163", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B10", MRnumber = "92k:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0220 (Analysis); C4180 (Integral equations); C1120 (Analysis)", corpsource = "Eindhoven Univ. of Technol., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integral equations; Legendre chi-function; Plana summation formula; power series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1992:TEI, author = "B. C. Carlson", title = "A Table of Elliptic Integrals: Two Quadratic Factors", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "165--180", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33C75 33E05)", MRnumber = "92k:65027", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Grochenig:1992:RAI, author = "Karlheinz Gr{\"o}chenig", title = "Reconstruction Algorithms in Irregular Sampling", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "181--194", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A25 (41A80 42A15 65D99 94A12)", MRnumber = "93a:41025", MRreviewer = "W. Splettst{\"o}sser", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bremner:1992:NCT, author = "Andrew Bremner and Richard K. Guy", title = "Nu-Configurations in Tiling the Square", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "195--202, S1--S20", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (11G05 11Y50 52C20)", MRnumber = "93a:11019", MRreviewer = "Joe P. Buhler", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stroeker:1992:INU, author = "R. J. Stroeker", title = "Improvement of {Nakamula}'s upper bound for the absolute discriminant of a sextic number field with two real conjugates", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "203--211", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11R21 11R29)", MRnumber = "92k:11126", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Louboutin:1992:FCN, author = "St{\'e}phane Louboutin", title = "${L}$-functions and class numbers of imaginary quadratic fields and of quadratic extensions of an imaginary quadratic field", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "213--230", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R16)", MRnumber = "92k:11128", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cohn:1992:SSM, author = "Harvey Cohn and Jesse Deutsch", title = "Some Singular Moduli for ${Q}(\sqrt 3)$", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "231--247", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R37 (11F41)", MRnumber = "92k:11131", MRreviewer = "K.-B. Gundlach", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ernvall:1992:CIP, author = "R. Ernvall and T. Mets{\"a}nkyl{\"a}", title = "Cyclotomic Invariants for Primes to One Million", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "249--250", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R18 11R29)", MRnumber = "93a:11108", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Scheidler:1992:MTN, author = "Renate Scheidler and Hugh C. Williams", title = "A method of tabulating the number-theoretic function $g(k)$", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "251--257", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y70 (11N36)", MRnumber = "92k:11146", MRreviewer = "G. Greaves", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dilcher:1992:GEC, author = "Karl Dilcher", title = "Generalized {Euler} constants for arithmetical progressions", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "259--282, S21--S24", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (11M20 65B10 65B15)", MRnumber = "92k:11145", MRreviewer = "Bruce C. Berndt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Colbourn:1992:STSb, author = "Charles J. Colbourn and Spyros S. Magliveras and D. R. Stinson", title = "Steiner triple systems of order $19$ with nontrivial automorphism group", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "283--295, S25--S27", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05B07 (20B25)", MRnumber = "92k:05022", MRreviewer = "K. T. Phelps", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1992:CSS, author = "Anonymous", title = "Corrigenda: {``Solving Solvable Quintics''} {[Math. Comp. {\bf 57} (1991), no. 195, 387--401, MR 91j:12005] by D. S. Dummit}", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "309--309", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12E12 (12F10)", MRnumber = "1 166 516", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cockburn:1992:SCF, author = "Bernardo Cockburn and Ioana Triandaf", title = "Supplement to {``Convergence of a finite element method for the drift-diffusion semiconductor device equations: the zero diffusion case''}", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "S29--S46", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hansen:1992:SPP, author = "Tom Hansen and Gary L. Mullen", title = "Supplement to {``Primitive polynomials over finite fields''}", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "S47--S50", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Xu:1992:PGM, author = "Jinchao Xu and Xiao-Chuan Cai", title = "A preconditioned {GMRES} method for nonsymmetric or indefinite problems", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "311--319", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30 (65F10 65F35 65N30)", MRnumber = "93a:65059", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brenner:1992:LFE, author = "Susanne C. Brenner and Li-Yeng Y. Sung", title = "Linear finite element methods for planar linear elasticity", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "321--338", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "73V05 (65N12 65N30)", MRnumber = "93a:73078", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4630C (Elasticity); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math. and Comput. Sci., Clarkson Univ., Potsdam, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convex polygonal configuration; displacement; elasticity; error estimates; finite element analysis; finite element method; linear nonconforming; planar linear elasticity; rate; saddle point problems; two-dimensional linear elasticity", treatment = "T Theoretical or Mathematical", } @Article{Lesaint:1992:EEN, author = "P. Lesaint and J. Pousin", title = "Error estimates for a nonlinear degenerate parabolic problem", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "339--358", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35K65 (65M06 65M12 65M15 76M25 76X05)", MRnumber = "93a:35094", MRreviewer = "Erwin Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Suli:1992:ACV, author = "Endre S{\"u}li", title = "The accuracy of cell vertex finite volume methods on quadrilateral meshes", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "359--382", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15 65N50)", MRnumber = "93a:65158", MRreviewer = "Manfred Dobrowolski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cockburn:1992:CFE, author = "Bernardo Cockburn and Ioana Triandaf", title = "Convergence of a finite element method for the drift-diffusion semiconductor device equations: the zero diffusion case", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "383--401, S29--S46", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35Q60 65N12 78A55 82D99)", MRnumber = "93f:65080", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B2560B (Modelling and equivalent circuits); B0290T (Finite element analysis)", corpsource = "Sch. of Math., Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; convergence of numerical methods; drift-diffusion; electric field; electron concentration; finite element analysis; finite element method; piecewise-constant; piecewise-linear; semiconductor device equations; semiconductor device models; zero diffusion", treatment = "T Theoretical or Mathematical", } @Article{Ostermann:1992:RKM, author = "A. Ostermann and M. Roche", title = "{Runge--Kutta} methods for partial differential equations and fractional orders of convergence", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "403--420", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M20 (65L06 65M12)", MRnumber = "93a:65125", MRreviewer = "J. M. Sanz-Serna", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Jackiewicz:1992:VSE, author = "Z. Jackiewicz and M. Zennaro", title = "Variable-stepsize explicit two-step {Runge--Kutta} methods", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "421--438", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06", MRnumber = "93a:65093", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Okunbor:1992:ECM, author = "Daniel Okunbor and Robert D. Skeel", title = "Explicit Canonical Methods for {Hamiltonian} Systems", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "439--455", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "70-08 (65L06 70H05)", MRnumber = "93a:70002", MRreviewer = "Ram Krishan Sharma", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Martinez:1992:RBT, author = "Jos{\'e} Mario Mart{\'i}nez", title = "On the Relation between Two Local Convergence Theories of Least-Change Secant Update Methods", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "457--481", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K10 (65H10)", MRnumber = "93a:65088", MRreviewer = "R. P. Tewarson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nlop, quasi-Newton, local convergence", } @Article{Li:1992:HDA, author = "T. Y. Li and Zhonggang Zeng", title = "Homotopy-Determinant Algorithm for Solving Nonsymmetric Eigenvalue Problems", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "483--502", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15 (65F40 65H17 65H20)", MRnumber = "93a:65054", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, eig, homotopy method", } @Article{Kacewicz:1992:TCA, author = "B. Z. Kacewicz and L. Plaskota", title = "Termination conditions for approximating linear problems with noisy information", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "503--513", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (41A65)", MRnumber = "93a:65077", MRreviewer = "A. Bultheel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Inst. of Appl. Math., Warsaw Univ., Poland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; criterion; diameter termination; linear problems; noisy information", treatment = "T Theoretical or Mathematical", } @Article{Criscuolo:1992:PSC, author = "Giuliana Criscuolo and Giuseppe Mastroianni and P{\'e}ter V{\'e}rtesi", title = "Pointwise simultaneous convergence of extended {Lagrange} interpolation with additional knots", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "515--531", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (65D05)", MRnumber = "93a:41003", MRreviewer = "L. Berg", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Grothmann:1992:DSU, author = "R. Grothmann and H. N. Mhaskar", title = "Detection of singularities using segment approximation", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "533--540", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (41A10 65D15)", MRnumber = "93a:41015", MRreviewer = "R. Franke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Galant:1992:AMM, author = "David Galant", title = "Algebraic methods for modified orthogonal polynomials", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "541--546", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "42C05 (65D20)", MRnumber = "93b:42036", MRreviewer = "John B. Kioustelidis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Xu:1992:GCB, author = "Yuan Xu", title = "{Gaussian} cubature and bivariate polynomial interpolation", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "547--555", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A05)", MRnumber = "93a:65026", MRreviewer = "Dumitru Acu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Joe:1992:CLR, author = "Stephen Joe and Ian H. Sloan", title = "On Computing the Lattice Rule Criterion ${R}$", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "557--568", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (65D32)", MRnumber = "93b:65042", MRreviewer = "S. Dubuc", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Calvetti:1992:SRE, author = "Daniela Calvetti", title = "A Stochastic Roundoff Error Analysis for the Convolution", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "569--582", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G05 (44A35 65T20)", MRnumber = "93a:65061", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4190 (Other numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Pure and Appl. Math., Stevens Inst. of Technol., Hoboken, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; convolution; error analysis; fast Fourier transforms; Radix-2 fast Fourier transforms; roundoff errors; stochastic roundoff error analysis", kwds = "nla, fft, convolution, rounding error, stochastic analysis", treatment = "T Theoretical or Mathematical", } @Article{Bussemaker:1992:EGS, author = "F. C. Bussemaker and A. Neumaier", title = "Exceptional Graphs with Smallest Eigenvalue $-2$ And Related Problems. With microfiche supplement", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "583--608", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05C50", MRnumber = "93a:05089", MRreviewer = "Wan Di Wei", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Yeow:1992:ESN, author = "Meng Chee Yeow and Gordon F. Royle", title = "Enumeration of Small Nonisomorphic $1$-Rotational Twofold Triple Systems. With microfiche supplement", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "609--612", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05B07", MRnumber = "93a:05025", MRreviewer = "K. T. Phelps", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Heath-Brown:1992:DZF, author = "D. R. Heath-Brown", title = "The density of zeros of forms for which weak approximation fails", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "613--623", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G35 (11D25 11P55)", MRnumber = "93a:11055", MRreviewer = "R. C. Baker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mollin:1992:RQF, author = "R. A. Mollin and H. C. Williams", title = "On Real Quadratic Fields of Class Number Two", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "625--632", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R29)", MRnumber = "93a:11089", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Solderitsch:1992:QFS, author = "James J. Solderitsch", title = "Quadratic Fields with Special Class Groups", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "633--638", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R11 11Y40)", MRnumber = "93a:11094", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hansen:1992:PPF, author = "Tom Hansen and Gary L. Mullen", title = "Primitive Polynomials Over Finite Fields", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "639--643, S47--S50", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T06", MRnumber = "93a:11101", MRreviewer = "S. D. Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hiss:1992:BMC, author = "Gerhard Hiss and Josephine Shamash", title = "$2$-blocks and $2$-modular characters of the {Chevalley} groups ${G}_2(q)$", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "645--672", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C20 (20C33 20C40)", MRnumber = "93a:20020", MRreviewer = "Karin Erdmann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Maple", reviewer = "Karin Erdmann", } @Article{Ash:1992:DCC, author = "Avner Ash and Mark McConnell", title = "Doubly Cuspidal Cohomology for Principal Congruence Subgroups of $\mathrm{GL}(3,\mathbb{Z})$", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "673--688", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F75 (11F70)", MRnumber = "93b:11066", MRreviewer = "Joachim Schwermer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Sandling:1992:PUG, author = "Robert Sandling", title = "Presentations for unit groups of modular group algebras of groups of order $16$", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "689--701", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "16S34 (16U60 20C05 20D15 20F05)", MRnumber = "93a:16025", MRreviewer = "Burkhard K{\"u}lshammer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Delorme:1992:DE, author = "Jean-Jo{\"e}l Delorme", title = "On the {Diophantine} Equation $x^6_1 + x^6_2 + x^6_3 = y^6_1 + y^6_2 + y^6_3$", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "703--715", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D41 (11Y50)", MRnumber = "93a:11023", MRreviewer = "Andrew Bremner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Buhler:1992:IPO, author = "J. P. Buhler and R. E. Crandall and R. W. Sompolski", title = "Irregular Primes to One Million", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "717--722", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y35 (11B68 11D41 65T20)", MRnumber = "93a:11106", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1992:TEA, author = "S. M. Rudolpher and P. C. Watson", title = "Table Errata {Abramowitz and Stegun}, Editors", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "727--727", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:20:17 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1993:ISN, author = "James H. Bramble and Zbigniew Leyk and Joseph E. Pasciak", title = "Iterative schemes for nonsymmetric and indefinite elliptic boundary value problems", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "1--22", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65N22)", MRnumber = "93d:65034", MRreviewer = "L. W. Ehrlich", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290H (Linear algebra); C4170 (Differential equations); C4140 (Linear algebra)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; coarse-grid approximation; complex plane; conjugate gradient iteration; convergence; convergence of numerical methods; eigenvalues; elliptic equations; indefinite elliptic; iteration matrices; iterative methods; iterative schemes; matrix algebra; nonsymmetric BVP; partial differential equations; PDEs; Sobolev space", treatment = "T Theoretical or Mathematical", } @Article{Rusten:1993:SPE, author = "Torgeir Rusten and Ragnar Winther", title = "Substructure preconditioners for elliptic saddle point problems", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "23--48", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65F10 65N30 76S05)", MRnumber = "93d:65108", MRreviewer = "M. M. Sussman", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); B0290P (Differential equations); B0290H (Linear algebra); C4185 (Finite element analysis); C4170 (Differential equations); C4140 (Linear algebra)", corpsource = "Dept. of Math., Oslo Univ., Blindern, Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary conditions; boundary-value problems; Dirichlet boundary conditions; discretizations; domain decomposition preconditioners; elliptic equations; elliptic saddle point; finite element; interior boundary; iteration; iterative methods; linear systems; matrix algebra; mesh parameter; minimum residual method; mixed finite element; Neumann; problems; second-order elliptic boundary value", treatment = "T Theoretical or Mathematical", } @Article{Swann:1993:ULM, author = "Howard Swann", title = "On the use of {Lagrange} multipliers in domain decomposition for solving elliptic problems", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "49--78", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15 65N35)", MRnumber = "93d:65101", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4185 (Finite element analysis); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math. and Comput. Sci., San Jose State Univ., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; convergence; convergence of numerical methods; domain decomposition; elliptic equations; elliptic problems; equations; error; error estimates; finite element analysis; finite element approximations; homogeneous Dirichlet problem; hybrid method; Lagrange; multipliers; partial differential; PDE; primal; selfadjoint equations; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{French:1993:ARF, author = "Donald A. French and J. Thomas King", title = "Analysis of a robust finite element approximation for a parabolic equation with rough boundary data", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "79--104", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "93d:65098", MRreviewer = "Georges A. Lebaud", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4185 (Finite element analysis); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math. Sci., Cincinnati Univ., OH, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backward Euler time; boundary data; boundary values; convergence; convergence of numerical methods; discretization; element analysis; equation; equations; error analysis; finite; initial value problems; IVP; least squares; nonhomogeneous Dirichlet; parabolic; robust finite element approximation; robust theoretical error estimates; rough boundary data; smooth data; space discretization", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1993:RKM, author = "Ch. Lubich and A. Ostermann", title = "{Runge--Kutta} methods for parabolic equations and convolution quadrature", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "105--131", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (65D30 65M15 65R20 76D05 76M25)", MRnumber = "93d:65082", MRreviewer = "John C. Strikwerda", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290R (Integral equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations); C4110 (Error analysis in numerical methods)", corpsource = "Inst. fur Math. and Geometrie, Innsbruck Univ., Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation properties; asympotically sharp error bounds; convergence; convolution; convolution integrals; discrete operational calculus; equations; error analysis; incompressible Navier-; integral; integral equations; Laplace transform; order; parabolic equations; quadrature; Runge--Kutta methods; Stokes equations; temporal", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1993:FDG, author = "Nai Ying Zhang", title = "On fully discrete {Galerkin} approximations for partial integro-differential equations of parabolic type", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "133--166", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (35K05 65M15)", MRnumber = "93d:65088", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290M (Numerical integration and differentiation); B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4170 (Differential equations); C4160 (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Center for Res. on Parallel Comput., Rice Univ., Houston, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backward Euler scheme; boundary value problems; convergence; convergence of numerical methods; Crank-; differential equations; element analysis; equations; error analysis; finite; finite element methods; fully discrete Galerkin approximations; initial value problems; initial-; integration; integro-differential equations; linear partial integro-differential; Nicolson scheme; Pad{\'e} discretization; partial differential; partial integro-; preliminary error estimate; quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Eriksson:1993:ASD, author = "Kenneth Eriksson and Claes Johnson", title = "Adaptive Streamline Diffusion finite element methods for stationary convection-diffusion problems", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "167--188, S1--S2", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (65N30 76M10 76Rxx)", MRnumber = "93d:65095", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); B0290B (Error analysis in numerical methods); C4185 (Finite element analysis); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive algorithms; capturing streamline diffusion method; convection-diffusion problems; discretization scheme; elliptic equations; error analysis; error control; FEM; finite element analysis; parabolic equations; posteriori error estimates; shock-; stationary; streamline diffusion finite element methods", treatment = "T Theoretical or Mathematical", } @Article{Mackenzie:1993:FVS, author = "J. A. Mackenzie and K. W. Morton", title = "Finite volume solutions of convection-diffusion test problems", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "189--220", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76R99 (65L10 65N99 76M25 76N99)", MRnumber = "93d:76065", MRreviewer = "R. Manohar", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Numerical Anal. Group, Oxford Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aerodynamics; boundary conditions; cell-based schemes; cell-vertex formulation; convection-diffusion test problems; convergence of numerical methods; convergence phenomena; finite element analysis; finite volume method; flows; inviscid flows; supra-; viscous", treatment = "T Theoretical or Mathematical", } @Article{Holden:1993:MFS, author = "Helge Holden and Nils Henrik Risebro", title = "A method of fractional steps for scalar conservation laws without the {CFL} condition", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "221--232", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M12 (35L65)", MRnumber = "93d:65081", MRreviewer = "Anders Szepessy", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Div. of Math. Sci., Trondheim Univ., Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "dimensional equations; dimensional splitting; fractional steps; initial value problem; initial value problems; integral equations; method; numerical; one-; scalar conservation laws; solution; space discretization; weak entropy", treatment = "T Theoretical or Mathematical", } @Article{Liu:1993:SSD, author = "Jian Guo Liu and Zhou Ping Xin", title = "${L}^1$-stability of stationary discrete shocks", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "233--244", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35L65 (35L67 65M12)", MRnumber = "93d:35097", MRreviewer = "Benoit Perthame", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characteristic; conservation laws; convergence of numerical methods; energy method; essential monotonicity; hyperbolic equations; initial perturbations; L/sup 1/-stability; Lax--Friedrichs scheme; nonlinear; nonlinear hyperbolic; stability; stationary discrete shocks", treatment = "T Theoretical or Mathematical", } @Article{Tadmor:1993:TVE, author = "Eitan Tadmor", title = "Total variation and error estimates for spectral viscosity approximations", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "245--256", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35L65 (65M06 65M12 65M15)", MRnumber = "93d:35098", MRreviewer = "Gholam-Ali Zakeri", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sch. of Math. Sci., Tel-Aviv Univ., Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; differential equations; E-entropy condition; error analysis; error estimates; first-; Fourier method; L/sup 1/-stable; Lip/sup +/-; order accuracy; partial; spectral viscosity approximations; stable", treatment = "T Theoretical or Mathematical", } @Article{Heinrich:1993:MCC, author = "Stefan Heinrich and Peter Math{\'e}", title = "The {Monte Carlo} complexity of {Fredholm} integral equations", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "257--278", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C05 (45L10 60J10 65R20)", MRnumber = "93d:65007", MRreviewer = "B. L. Granovskiy", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0240G (Monte Carlo methods); C4180 (Integral equations); C1140G (Monte Carlo methods); C4240 (Programming and algorithm theory)", corpsource = "Inst. fur Angewandte Anal. and Stochastik, Berlin, Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; Fredholm integral equations; integral equations; methods; Monte Carlo; Monte Carlo complexity", treatment = "T Theoretical or Mathematical", } @Article{Haber:1993:TFN, author = "Seymour Haber", title = "Two formulas for numerical indefinite integration", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "279--296", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "93d:65026", MRreviewer = "Georgi Grozev", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); B0290B (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4180 (Integral equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation error; convergence of numerical methods; convergence rate; equations; error analysis; error bound; integral; integrand evaluations; integration; numerical indefinite integration", treatment = "T Theoretical or Mathematical", } @Article{Crow:1993:QIL, author = "John A. Crow", title = "Quadrature of integrands with a logarithmic singularity", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "297--301", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (65D30)", MRnumber = "93d:65025", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); B0290T (Finite element analysis); C4160 (Numerical integration and differentiation); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Autonetics Marine and Aircraft Syst. Div., Rockwell Int. Corp., Anaheim, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissae; boundary-value problems; BVP; cubic B-spline basis; finite element analysis; four-point rule; initial; integration; IVP; logarithmic singularity; methods; partial differential equations; PDE; polynomials; quadrature rule; seven-point rules; value problems; weighted-residual finite element", treatment = "T Theoretical or Mathematical", } @Article{Frappier:1993:QFI, author = "Cl{\'e}ment Frappier and Patrick Olivier", title = "A quadrature formula involving zeros of {Bessel} functions", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "303--316", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A55 (65D32)", MRnumber = "93d:41025", MRreviewer = "Hans Strauss", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Math. Appliqu{\'e}es, Montreal, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; integration; interpolation; poles and; polynomials; quadrature formula; sampling theorem; zeros", treatment = "T Theoretical or Mathematical", } @Article{Peherstorfer:1993:RGQ, author = "F. Peherstorfer", title = "On the remainder of {Gaussian} quadrature formulas for {Bernstein--Szeg{\H{o}}} weight functions", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "317--325", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "93d:65030", MRreviewer = "Walter Gautschi", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290B (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4110 (Error analysis in numerical methods)", corpsource = "Inst. fur Math., Johannes Kepler Univ., Linz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bernstein--Szeg{\H{o}} weight; error analysis; error functional; explicit expression; functions; Gaussian quadrature formulas; integration; polynomial; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Grabner:1993:SDD, author = "Peter J. Grabner and Robert F. Tichy", title = "Spherical designs, discrepancy and numerical integration", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "327--336", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11K45 (65C05)", MRnumber = "93d:11080", MRreviewer = "Peter Schatte", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. fur Math., Tech. Univ. Graz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discrepancy bounds; equal-weight; integration; optimization problem; point configuration; polynomials; quadrature formulae; sphere; spherical design", treatment = "T Theoretical or Mathematical", } @Article{Alzer:1993:SGF, author = "Horst Alzer", title = "Some gamma function inequalities", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "337--346", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33B15 (26D20)", MRnumber = "93f:33001", MRreviewer = "Aurelio Cannizzo", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Linzer:1993:MFF, author = "Elliot Linzer and Ephraim Feig", title = "Modified {FFT}s for fused multiply-add architectures", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "347--361", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T20", MRnumber = "93d:65118", MRreviewer = "Dale H. Mugler", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "IBM Thomas J. Watson Res. Centre, Yorktown Heights, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; complex discrete Fourier transform; fast Fourier transform; fast Fourier transforms; fused multiply-add architectures; multidimensional FFTs", treatment = "T Theoretical or Mathematical", } @Article{Wang:1993:URP, author = "Da Kai Wang and Aaldert Compagner", title = "On the use of reducible polynomials as random number generators", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "363--374", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K99)", MRnumber = "93e:65012", MRreviewer = "Harald Niederreiter", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics); C1140Z (Other and miscellaneous); C5230 (Digital arithmetic methods)", corpsource = "Lab. of Appl. Phys., Delft Univ. of Technol., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate-maximum-length sequences; bit rates; Carlo simulations; characteristic polynomial; coefficients; correlation; large-scale Monte; Monte Carlo methods; polynomials; random number generation; random number generators; reducible polynomials", treatment = "P Practical", } @Article{Eichenauer-Herrmann:1993:SIN, author = "J{\"u}rgen Eichenauer-Herrmann", title = "Statistical independence of a new class of inversive congruential pseudorandom numbers", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "375--384", month = jan, year = "1993", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153174", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "93d:65011", MRreviewer = "R. G. Stoneham", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://www.jstor.org/stable/2153174", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics); C1140Z (Other and miscellaneous); C5230 (Digital arithmetic methods)", corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt, Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "inversive congruential pseudorandom numbers; random number generation; rational exponential sums; simulations; statistical analysis; stochastic; Weil-Stepanov beads", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1993:CMP, author = "S. Gupta and D. Zagier", title = "On the coefficients of the minimal polynomials of {Gaussian} periods", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "385--398", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11L05 (11T22 11Y40)", MRnumber = "93d:11086", MRreviewer = "Andrew Granville", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Atkin:1993:FSC, author = "A. O. L. Atkin and F. Morain", title = "Finding suitable curves for the elliptic curve method of factorization", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "399--405", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11G20)", MRnumber = "93k:11115", MRreviewer = "Joe P. Buhler", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Illinois Univ., Chicago, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "curve fitting; ECM factorization; elliptic curve method; elliptic curves; elliptic equations; factorization; nontrivial torsion; parametrizations", treatment = "T Theoretical or Mathematical", } @Article{Menezes:1993:CPE, author = "Alfred J. Menezes and Scott A. Vanstone and Robert J. Zuccherato", title = "Counting points on elliptic curves over $\mbox{\bf F}_{2^m}$", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "407--420", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11G20 11T71 14H52)", MRnumber = "93f:11098", MRreviewer = "Andrew Bremner", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B6120B (Codes); C6130S (Data security)", corpsource = "Dept. of Combinatorics and Optimization, Waterloo Univ., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "counting points; elliptic curves; elliptic equations; public key cryptography", treatment = "T Theoretical or Mathematical", } @Article{Godwin:1993:ENF, author = "H. J. Godwin and J. R. Smith", title = "On the {Euclidean} nature of four cyclic cubic fields", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "421--423", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R04 11R29 11Y40)", MRnumber = "93d:11114", MRreviewer = "Jonathan W. Sands", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pihko:1993:MES, author = "Jukka Pihko", title = "On the minimal elements for the sequence of all powers in the {Lemoine--K{\'a}tai} algorithm", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "425--430", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B83 (11Y55)", MRnumber = "93d:11027", MRreviewer = "P{\'e}ter Kiss", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. of Math., Helsinki Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integer-; Lemoine--Katai algorithm; mathematics computing; minimal elements; number theory; representing algorithm", treatment = "T Theoretical or Mathematical", } @Article{N:1993:BRB, author = "H. N.", title = "Book Review: {{\booktitle{Random Number Generators and Simulation}}, by Istv{\'a}n De{\'a}k}", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "442--442", month = jan, year = "1993", bibdate = "Wed Dec 21 10:30:21 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", note = "See \cite{Deak:1990:RNG}.", URL = "http://www.jstor.org/stable/2153189", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Couture:1993:SDK, author = "Raymond Couture and Pierre L'Ecuyer and Shu Tezuka", title = "Supplement to {``On the distribution of $k$-dimensional vectors for simple and combined Tausworthe sequences''}", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "S11--S16", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:21:14 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kanenobu:1993:SPI, author = "Taizo Kanenobu and Toshio Sumi", title = "Supplement to {``Polynomial invariants of 2-bridge knots through 22 crossings''}", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "S17--S28", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:21:19 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lotstedt:1993:SFA, author = "Per L{\"o}tstedt and Bertil Gustafsson", title = "Supplement to {``Fourier analysis of multigrid methods for general systems of PDEs''}", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "S3--S9", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:21:25 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schneider:1993:SSP, author = "Gerhard A. Schneider", title = "Supplement to {``The structure of the projective indecomposable modules of the Suzuki group Sz(8) in characteristic 2''}", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "S29--S32", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:20:48 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1993:NEM, author = "James H. Bramble and Joseph E. Pasciak", title = "New estimates for multilevel algorithms including the ${V}$-cycle", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "447--471", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65N12)", MRnumber = "94a:65064", MRreviewer = "A. V. Dzhishkariani", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm theory; convergence of numerical methods; convergence rate; differential equations; multilevel algorithm; V-cycle algorithm", treatment = "T Theoretical or Mathematical", } @Article{Lotstedt:1993:FAM, author = "Per L{\"o}tstedt and Bertil Gustafsson", title = "{Fourier} analysis of multigrid methods for general systems of {PDE}s", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "473--493, S3--S9", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N55 (65F10 65N12)", MRnumber = "94b:65157", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Sci. Comput., Uppsala Univ., Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence rate; Fourier analysis; iterative; methods; multigrid methods; partial differential equations; PDES", treatment = "T Theoretical or Mathematical", } @Article{Devulder:1993:RCN, author = "Christophe Devulder and Martine Marion and Edriss S. Titi", title = "On the rate of convergence of the nonlinear {Galerkin} methods", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "495--514", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76D05 (35Q30 58F39 65N12 65N30)", MRnumber = "93h:76017", MRreviewer = "Howard Swann", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Ecole Centrale de Lyon, Ecully, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; equations; nonlinear differential; nonlinear Galerkin methods; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Loheac:1993:PAC, author = "J.-P. Loh{\'e}ac and F. Nataf and M. Schatzman", title = "Parabolic approximations of the convection-diffusion equation", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "515--530", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N06 (65N15 76M20 76R99)", MRnumber = "93h:65129", MRreviewer = "C. Wayne Mastin", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0560 (Transport processes: theory)", corpsource = "Ecole Centrale de Lyon, Ecully, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convection; convection-diffusion operator; diffusion; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Zhou:1993:LSP, author = "Tian Xiao Zhou and Min Fu Feng", title = "A least squares {Petrov--Galerkin} finite element method for the stationary {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "531--543", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76D05 76M10)", MRnumber = "93h:65141", MRreviewer = "Bruce A. Finlayson", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis)", corpsource = "Comput. Technol. Res. Inst., Chinese Aeronaut. Establ., Xi'An, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; discrete solution; finite element analysis; least squares; least squares approximations; Navier-; Navier--Stokes equations; Petrov--Galerkin finite element method; stationary; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Bialecki:1993:OSC, author = "Bernard Bialecki and Ryan I. Fernandes", title = "Orthogonal spline collocation {Laplace-modified} and alternating-direction methods for parabolic problems on rectangles", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "545--573", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N35 (65M12 65M70 65N12)", MRnumber = "93h:65142", MRreviewer = "Howard Swann", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bicubic; convergence analysis; convergence of numerical methods; Hermite; parabolic problems; piecewise; spline collocation; splines (mathematics); stability", treatment = "T Theoretical or Mathematical", } @Article{Buhmann:1993:SDP, author = "Martin Buhmann and Arieh Iserles", title = "Stability of the discretized pantograph differential equation", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "575--589", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L20 (34K20)", MRnumber = "93h:65107", MRreviewer = "J. {\v{S}}vejda", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4150 (Nonlinear and functional equations)", corpsource = "Cambridge Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; differential equation; functional equations; pantograph equation; stability; trapezoidal rule discretizations", treatment = "T Theoretical or Mathematical", } @Article{Trompert:1993:RKM, author = "R. A. Trompert and J. G. Verwer", title = "{Runge--Kutta} methods and local uniform grid refinement", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "591--616", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M50 (65L06 65M20)", MRnumber = "93h:65119", MRreviewer = "Stanly L. Steinberg", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive grid technique; error analysis; local uniform grid refinement; methods; partial differential equations; refinement strategy; Runge--Kutta; Runge--Kutta LUGR method", treatment = "T Theoretical or Mathematical", } @Article{Abia:1993:PRK, author = "L. Abia and J. M. Sanz-Serna", title = "Partitioned {Runge--Kutta} methods for separable {Hamiltonian} problems", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "617--634", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L06 (34A50 58F05 70-08 70H05 70H15)", MRnumber = "93i:65074", MRreviewer = "Daniel Stoffer", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Fac. de Ciencias, Valladolid, Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "canonicity; differential equations; partitioned; Runge--Kutta methods; separable Hamiltonian problems", treatment = "T Theoretical or Mathematical", } @Article{Suleiman:1993:SNC, author = "Mohamed Bin Suleiman", title = "Some necessary conditions for convergence of the {GBDF} methods", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "635--649", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (65L20)", MRnumber = "93h:65096", MRreviewer = "Kevin Burrage", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Pertanian Univ., Serdang, Malaysia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "consistency; convergence; convergence of numerical methods; differential equations; Generalized Backward Differentiation methods; higher-; order; ordinary differential equations; stability; stiff; zero", treatment = "T Theoretical or Mathematical", } @Article{Swarztrauber:1993:PAC, author = "Paul N. Swarztrauber", title = "A parallel algorithm for computing the eigenvalues of a symmetric tridiagonal matrix", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "651--668", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15 (65Y05)", MRnumber = "93h:65053", MRreviewer = "Heike Fa{\ss}bender", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Nat. Center for Atomos. Res., Boulder, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; algorithms; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; parallel; polysection; quadratic recurrence; symmetric tridiagonal matrix", treatment = "T Theoretical or Mathematical", } @Article{Li:1993:SRP, author = "T. Y. Li and Xiao Shen Wang", title = "Solving real polynomial systems with real homotopies", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "669--680", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H20", MRnumber = "93h:65077", MRreviewer = "E. Kaucher", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bifurcation; polynomial system; polynomials; quadratic turning points; real homotopy", treatment = "T Theoretical or Mathematical", } @Article{Martinez:1993:TSP, author = "Jos{\'e} Mario Mart{\'i}nez", title = "A theory of secant preconditioners", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "681--698", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10", MRnumber = "93h:65075", MRreviewer = "M. A. Wolfe", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Appl. Math., State Univ. of Campinas, Sao Paulo, Brazil", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; bounded work per iteration; Condition; convergence; convergence of numerical methods; Dennis-More; iterative linear; iterative methods; linear; methods; nonlinear equations; nonlinear systems of equations; quasi-Newton; secant preconditioners; superlinear", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1993:OQM, author = "P. P. B. Eggermont and Ch. Lubich", title = "Operational quadrature methods for {Wiener--Hopf} integral equations", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "699--718", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45E10 45L05 47B35 47G10)", MRnumber = "93h:65166", MRreviewer = "John W. Hilgers", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C4160 (Numerical integration and differentiation); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; equations; error analysis; error estimates; Fourier transform; integral; integration; Laplace transforms; numerical solution; quadrature methods; solvability; stability; Wiener--Hopf integral equations", treatment = "T Theoretical or Mathematical", } @Article{Hasegawa:1993:PWE, author = "Takemitsu Hasegawa and Hirosi Sugiura and Tatsuo Torii", title = "Positivity of the weights of extended {Clenshaw--Curtis} quadrature rules", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "719--734", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (65D32)", MRnumber = "93h:65032", MRreviewer = "Ezio Venturino", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{MacLeod:1993:CEM, author = "Allan J. MacLeod", title = "{Chebyshev} expansions for modified {Struve} and related functions", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "735--747", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33C10)", MRnumber = "93h:65029", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Couture:1993:DDV, author = "Raymond Couture and Pierre L'Ecuyer and Shu Tezuka", title = "On the distribution of $k$-dimensional vectors for simple and combined {Tausworthe} sequences", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "749--761, S11--S16", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11K45", MRnumber = "93h:11085", MRreviewer = "Robert F. Tichy", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tezuka:1993:CFP, author = "Shu Tezuka and Masanori Fushimi", title = "Calculation of {Fibonacci} polynomials for {GFSR} sequences with low discrepancies", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "763--770", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11B39 11Y99)", MRnumber = "93h:65009", MRreviewer = "P{\'e}ter Kiss", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.jstor.org/stable/pdfplus/2153114.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kanenobu:1993:PIB, author = "Taizo Kanenobu and Toshio Sumi", title = "Polynomial invariants of $2$-bridge knots through $22$ crossings", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "771--778, S17--S28", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "57M25", MRnumber = "93h:57011", MRreviewer = "Charles Livingston", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schneider:1993:SPI, author = "Gerhard J. A. Schneider", title = "The structure of the projective indecomposable modules of the {Suzuki} group ${\rm Sz}(8)$ in characteristic $2$", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "779--786, S29--S32", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C20 (20C40)", MRnumber = "93h:20011", MRreviewer = "Herbert Pahlings", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shparlinski:1993:BPF, author = "Igor E. Shparlinski", title = "On bivariate polynomial factorization over finite fields", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "787--791", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12E20 (68Q40)", MRnumber = "93k:12008", MRreviewer = "Jacques Calmet", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pohst:1993:CUG, author = "M. Pohst and J. Graf {von Schmettow}", title = "On the computation of unit groups and class groups of totally complex quartic fields", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "793--800", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R16 11R27 11R29)", MRnumber = "93h:11142", MRreviewer = "Joe P. Buhler", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fujita:1993:MDT, author = "Hiroyuki Fujita", title = "The minimum discriminant of totally real algebraic number fields of degree $9$ with cubic subfields", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "801--810", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R29 11R80 11Y40)", MRnumber = "93h:11118", MRreviewer = "Michel Olivier", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Styer:1993:STV, author = "Robert Styer", title = "Small two-variable exponential {Diophantine} equations", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "811--816", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D61", MRnumber = "93h:11034", MRreviewer = "Leo J. Alex", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Plesken:1993:CIL, author = "W. Plesken and M. Pohst", title = "Constructing integral lattices with prescribed minimum. {II}", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "817--825", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11H31 (11H50)", MRnumber = "93h:11070", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zhang:1993:PEC, author = "Zhen Xiang Zhang", title = "On a problem of {Erd{\H{o}}s} concerning primitive sequences", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "827--834", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y55 (11B13 11B83)", MRnumber = "93k:11120", MRreviewer = "Calvin T. Long", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zhang:1993:SLR, author = "Zhen Xiang Zhang", title = "A ${B}_2$-sequence with larger reciprocal sum", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "835--839", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B37 (11B13 11Y55)", MRnumber = "93m:11012", MRreviewer = "Andrew Granville", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pinch:1993:SQP, author = "R. G. E. Pinch", title = "Squares in quadratic progression", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "841--845", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B83 (11D25 11Y50)", MRnumber = "93h:11029", MRreviewer = "Duncan A. Buell", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gordon:1993:CDL, author = "D. M. Gordon and C.", title = "Corrigendum: {``The distribution of Lucas Pomerance and elliptic pseudoprimes''} {[Math. Comp. {\bf 57} (1991), no. 196, 825--838, MR 92h:11081]}", journal = j-MATH-COMPUT, volume = "60", number = "202", pages = "877--877", month = apr, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N80 (11B39 11G05 11Y11)", MRnumber = "93h:11108", bibdate = "Wed Jan 15 09:19:51 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Aiello:1993:SCA, author = "Walter Aiello and M. V. Subbarao", title = "Supplement to {``A conjecture in addition chains related to Scholz's conjecture''}", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "S1--S6", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:22:20 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bosma:1993:SEP, author = "Wieb Bosma", title = "Supplement to {``Explicit primality criteria for $h\cdot2^k\pm1$''}", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "S7--S9", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:22:54 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hejhal:1993:SFC, author = "D. A. Hejhal and S. Arno", title = "Supplement to {``On Fourier coefficients of Maass waveforms for $PSL(2,Z)$''}", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "S11--S16", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:22:58 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rumely:1993:SCC, author = "Robert Rumely", title = "Supplement to {``Numerical computations concerning the ERH''}", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "S17--S23", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri Jan 17 17:22:27 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Adleman:1993:SAD, author = "Leonard M. Adleman and Jonathan Demarrais", title = "A subexponential algorithm for discrete logarithms over all finite fields", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "1--15", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11T71)", MRnumber = "94e:11140", MRreviewer = "Lajos R{\'o}nyai", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; discrete logarithms; fields; finite; heuristic argument; number theory; prime powers; subexponential algorithm", treatment = "T Theoretical or Mathematical", } @Article{Aiello:1993:CAC, author = "Walter Aiello and M. V. Subbarao", title = "A conjecture in addition chains related to {Scholz}'s conjecture", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "17--23, S1--S6", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B83 (11Y55)", MRnumber = "93k:11015", MRreviewer = "Anthony A. Gioia", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Apostol:1993:ELP, author = "Tom M. Apostol", title = "An extension of the {Lehmers}' picturesque exponential sums", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "25--28", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11L03", MRnumber = "93k:11071", MRreviewer = "S. W. Graham", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Atkin:1993:ECP, author = "A. O. L. Atkin and F. Morain", title = "Elliptic curves and primality proving", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "29--68", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11F11 11G20 11R37)", MRnumber = "93m:11136", MRreviewer = "Philippe Satg{\'e}", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bach:1993:SES, author = "Eric Bach and Lorenz Huelsbergen", title = "Statistical evidence for small generating sets", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "69--82", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N69", MRnumber = "93k:11089", MRreviewer = "D. R. Heath-Brown", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Comput. Sci., Wisconsin Univ., Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arguments; computational complexity; deterministic; deterministic primality test; heuristic; multiplicative group modulo n; number theory; numerical data; optimal coefficient; polynomial time; primes; sets; small generating; statistical evidence; statistics; upper bound", treatment = "T Theoretical or Mathematical", } @Article{Blecksmith:1993:FMI, author = "Richard Blecksmith and John Brillhart and Irving Gerst", title = "A fundamental modular identity and some applications", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "83--95", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P83 (05A19 11F11)", MRnumber = "94c:11100", MRreviewer = "Richard P. Lewis", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bosma:1993:EPC, author = "Wieb Bosma", title = "Explicit primality criteria for $h\cdot 2^k\pm 1$", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "97--109, S7--S9", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A51 (11Y11)", MRnumber = "94c:11005", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bremner:1993:TPG, author = "Andrew Bremner and Duncan A. Buell", title = "Three points of great height on elliptic curves", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "111--115", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (11Y40)", MRnumber = "93k:11052", MRreviewer = "Philippe Satg{\'e}", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bremner:1993:WIR, author = "Andrew Bremner and Richard K. Guy and Richard J. Nowakowski", title = "Which integers are representable as the product of the sum of three integers with the sum of their reciprocals?", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "117--130", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (11G05 11G40)", MRnumber = "93k:11021", MRreviewer = "Philippe Satg{\'e}", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brent:1993:CFC, author = "Richard P. Brent", title = "On computing factors of cyclotomic polynomials", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "131--149", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T22 (11Y05 12Y05)", MRnumber = "93m:11131", MRreviewer = "Peter Stevenhagen", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Buhler:1993:IPC, author = "J. Buhler and R. Crandall and R. Ernvall and T. Mets{\"a}nkyl{\"a}", title = "Irregular primes and cyclotomic invariants to four million", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "151--153", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B68 (11D41 11R29 11Y35 11Y40)", MRnumber = "93k:11014", MRreviewer = "Harvey Cohn", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cohn:1993:HBP, author = "Harvey Cohn", title = "How branching properties determine modular equations", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "155--170", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F11 (11Y16)", MRnumber = "93k:11036", MRreviewer = "Marvin I. Knopp", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cusick:1993:ZCS, author = "T. W. Cusick", title = "{Zaremba}'s conjecture and sums of the divisor function", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "171--176", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11J13 (11J25 11J70)", MRnumber = "93k:11063", MRreviewer = "G. Ramharter", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Damgaard:1993:ACE, author = "Ivan Damg{\aa}rd and Peter Landrock and Carl Pomerance", title = "Average case error estimates for the strong probable prime test", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "177--194", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "94b:11124", MRreviewer = "Herman J. J. te Riele", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Deshouillers:1993:NRS, author = "J.-M. Deshouillers and F. Dress", title = "Numerical results for sums of five and seven biquadrates and consequences for sums of $19$ biquadrates", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "195--207", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P05 (11Y16)", MRnumber = "94c:11096", MRreviewer = "S. W. Graham", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Deshouillers:1993:UBG, author = "Jean-Marc Deshouillers and Andrew Granville and W{\l}adys{\l}aw Narkiewicz and Carl Pomerance", title = "An upper bound in {Goldbach}'s problem", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "209--213", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P32 (11Y11)", MRnumber = "94b:11101", MRreviewer = "Herman J. J. te Riele", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Erdos:1993:ELP, author = "P. Erd{\H{o}}s and C. B. Lacampagne and J. L. Selfridge", title = "Estimates of the least prime factor of a binomial coefficient", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "215--224", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B65 (11N37)", MRnumber = "93k:11013", MRreviewer = "Adolf Hildebrand", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hansen:1993:GPC, author = "Tom Hansen and Gary L. Mullen and Harald Niederreiter", title = "Good parameters for a class of node sets in quasi-{Monte Carlo} integration", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "225--234", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11K45 (65D32)", MRnumber = "94e:11088", MRreviewer = "Gerhard Larcher", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Heath-Brown:1993:SDE, author = "D. R. Heath-Brown and W. M. Lioen and H. J. J. {Te Riele}", title = "On solving the {Diophantine} equation $x^3 + y^3 + z^3 = k$ on a vector computer", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "235--244", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y50 (11D25)", MRnumber = "94f:11132", MRreviewer = "Jonathan Pila", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C7310 (Mathematics); C1160 (Combinatorial mathematics)", corpsource = "Magdalen Coll., Oxford Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic equation; Cyber 205 vector computer; digital arithmetic; Diophantine equation; double-; equations; Euclidean algorithm; mathematics computing; multiprocessing programs; number theory; parametric form solution; precision arithmetic operations; program correctness; systems; vector processor", treatment = "P Practical", } @Article{Hejhal:1993:FCM, author = "D. A. Hejhal and S. Arno", title = "On {Fourier} coefficients of {Maass} waveforms for ${\rm PSL}(2,\mbox{\bf Z})$", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "245--267, S11--S16", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F30 (11Y35)", MRnumber = "94a:11062", MRreviewer = "Rhonda Lee Hatcher", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Knopp:1993:CSA, author = "Marvin I. Knopp", title = "On the cuspidal spectrum of the arithmetic {Hecke} groups", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "269--275", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F25 (11F30 11F72)", MRnumber = "93k:11038", MRreviewer = "Thomas R. Shemanske", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Knuth:1993:JFS, author = "Donald E. Knuth", title = "{Johann Faulhaber} and sums of powers", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "277--294", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B83 (01A45 01A55 11B57)", MRnumber = "94a:11030", MRreviewer = "Wells Johnson", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lazarus:1993:CDU, author = "Andrew J. Lazarus", title = "Cyclotomy and delta units", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "295--305", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11R16 11R18 11R20)", MRnumber = "94d:11087", MRreviewer = "Lawrence Washington", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1993:MWM, author = "D. H. Lehmer", title = "The mathematical work of {Morgan Ward}", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "307--311", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "01A70 (11-03)", MRnumber = "93k:01071", MRreviewer = "{\v{S}}tefan Porubsk{\'y}", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1993:LP, author = "D. H. Lehmer and Emma Lehmer", title = "The {Lehmer} project", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "313--317", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11T22)", MRnumber = "93k:11100", MRreviewer = "Duncan A. Buell", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lenstra:1993:FNF, author = "A. K. Lenstra and H. W. {Lenstra, Jr.} and M. S. Manasse and J. M. Pollard", title = "The factorization of the ninth {Fermat} number", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "319--349", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11Y40)", MRnumber = "93k:11116", MRreviewer = "Rhonda Lee Hatcher", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lenstra:1993:CFL, author = "H. W. {Lenstra, Jr.} and J. O. Shallit", title = "Continued fractions and linear recurrences", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "351--354", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A55 (11B37)", MRnumber = "93k:11004", MRreviewer = "Les Davison", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mollin:1993:ACQ, author = "R. A. Mollin", title = "Ambiguous classes in quadratic fields", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "355--360", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R09 11R11)", MRnumber = "93k:11103", MRreviewer = "St{\'e}phane Louboutin", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Montgomery:1993:NSP, author = "Peter L. Montgomery", title = "New solutions of $a^{p-1}\equiv 1\pmod {p^2}$", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "361--363", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A07 (11A15)", MRnumber = "94d:11003", MRreviewer = "Qi Sun", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Muskat:1993:GFL, author = "Joseph B. Muskat", title = "Generalized {Fibonacci} and {Lucas} sequences and rootfinding methods", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "365--372", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B99 (11B39 49M15 65H99 90C30)", MRnumber = "93k:65004", MRreviewer = "Piero Filipponi", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Odlyzko:1993:IAV, author = "Andrew M. Odlyzko", title = "Iterated absolute values of differences of consecutive primes", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "373--380", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y35 (11N05)", MRnumber = "93k:11119", MRreviewer = "Ti Zuo Xuan", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pinch:1993:CN, author = "R. G. E. Pinch", title = "The {Carmichael} numbers up to $10^{15}$", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "381--391", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11Y70)", MRnumber = "93m:11137", MRreviewer = "Andrew Granville", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Robinson:1993:NHS, author = "Raphael M. Robinson", title = "Numbers having $m$ small $m$th roots $\bmod p$", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "393--413", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A07 (11A15 11L10 11R18)", MRnumber = "93k:11002", MRreviewer = "Ronald J. Evans", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rumely:1993:NCC, author = "Robert Rumely", title = "Numerical computations concerning the {ERH}", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "415--440, 517--523, S17--S23", month = jul, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M26 (11M06 11Y35)", MRnumber = "94b:11085", MRreviewer = "Andreas Guthmann", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", abstract = "Describes a computation which established the extended Riemann hypothesis (ERH) to height 10000 for all primitive Dirichlet L-series with conductor Q