%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.13", %%% date = "25 October 2007", %%% time = "16:14:51 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 = "http://www.math.utah.edu/~beebe", %%% checksum = "32317 30461 118186 1145796", %%% 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 %%% (paper), 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 2.13, the year coverage looked %%% like this: %%% %%% 1989 ( 1) 1993 ( 131) 1997 ( 146) %%% 1990 ( 104) 1994 ( 180) 1998 ( 123) %%% 1991 ( 104) 1995 ( 141) 1999 ( 110) %%% 1992 ( 122) 1996 ( 165) %%% %%% Article: 1265 %%% InProceedings: 61 %%% Proceedings: 1 %%% %%% Total entries: 1327 %%% %%% 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 \ocirc \undefined \def \ocirc #1{{\accent'27#1}}\fi" # "\ifx \mathbb \undefined \def \mathbb #1{{\bf #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|http://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Journal abbreviations: @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", MRclass = "11A41 (11A07 11Y05)", MRnumber = "92a:11011a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", note = "See corrigenda \cite{Morain:1990:CLD}.", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. de Math., Limoges Univ., France", 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", MRclass = "65N30 (65N10)", MRnumber = "90e:65164", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4100 (Numerical analysis)", corpsource = "INRIA, Rocquencourt, France", 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", MRclass = "65N30", MRnumber = "90f:65201", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods)", corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA", 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", MRclass = "65N10 (65N30)", MRnumber = "90m:65182", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65N30 (65N15 76-08 76D07)", MRnumber = "90f:65203", MRreviewer = "Long An Ying", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65N30 (76-08 76Rxx)", MRnumber = "90g:65152", MRreviewer = "Manfred Dobrowolski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65M60 (35L65 76L05)", MRnumber = "90j:65118", MRreviewer = "Alain Yves le Roux", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A4725Q (Convection and heat transfer); A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "Dept. of Math., Goteborg Univ., UK", 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", MRclass = "49Q05 (65E05 65N30)", MRnumber = "91c:49063", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0240 (Geometry, differential geometry, and topology); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", 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", MRclass = "65N35 (65R20)", MRnumber = "90g:65155", MRreviewer = "A. Quarteroni", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65R20", MRnumber = "90i:65251", MRreviewer = "Gheorghe Micula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations); C4180 (Integral equations); C1120 (Analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Peking Univ., China", 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", MRclass = "65D07 (41A15 41A63 65N30)", MRnumber = "90e:65012", MRreviewer = "Johannes Elschner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", 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", MRclass = "65F10 (15A09 15A12 15A48)", MRnumber = "90g:65038", MRreviewer = "Pradeep Misra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra); C1110 (Algebra)", corpsource = "ENEA, CREA, La Spezia, Italy", 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", 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 = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C1130 (Integral transforms); C4190 (Other numerical methods)", corpsource = "Fac. of Eng., Fukui Univ., Japan", 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", MRclass = "41A15", MRnumber = "90e:41007", MRreviewer = "L. L. Schumaker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C1130 (Integral transforms); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Connecticut Univ., Storrs, CT, USA", 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", 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 = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C1160 (Combinatorial mathematics); C1110 (Algebra)", corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain", 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", MRclass = "65D32", MRnumber = "90g:65028", MRreviewer = "Stephen W. Brady", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation); C1120 (Analysis)", corpsource = "Dept. of Math. et Stat., Montreal Univ., Que., Canada", 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", MRclass = "65D30", MRnumber = "91a:65055", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst. of Sci., Rehovot, Israel", 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", MRclass = "65D32", MRnumber = "91a:65061", MRreviewer = "Hans Strauss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Sch. of Math., New South Wales Univ., Kensington, NSW, Australia", 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", MRclass = "65D32 (11H06 11K38)", MRnumber = "90f:65036", MRreviewer = "Dumitru Acu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Inst. for Inf. Process., Austrian Acad. of Sci., Vienna, Austria", 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", MRclass = "65D20 (65B10 82A57)", MRnumber = "90j:65037", MRreviewer = "Alan M. Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A6130B (Molecular theories of liquid crystals)", corpsource = "Naval Surface Warfare Center, Silver Spring, MD, USA", 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", MRclass = "65C10 (11K45)", MRnumber = "91e:65012", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics)", 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", MRclass = "05A17 (05A30)", MRnumber = "90g:05025", MRreviewer = "Dennis White", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics)", corpsource = "Dept. of Math. Sci., Northern Illinois Univ., DeKalb, IL, USA", 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", MRclass = "11A63 (11-04 11D68 11K16)", MRnumber = "90e:11020", MRreviewer = "W. A. Webb", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Stat. and Comput., Dalhousie Univ., Halifax, NS, Canada", 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", MRclass = "11A25 (11A05)", MRnumber = "90e:11011", MRreviewer = "Jean-Marie De Koninck", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Sch. of Math. Sci., Univ. of Technol., Sydney, NSW, Australia", 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", MRclass = "11G05 (11D25)", MRnumber = "90g:11068", MRreviewer = "Yurey A. Drakokhrust", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Utrecht Univ., Netherlands", 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", MRclass = "11K50 (11J70)", MRnumber = "90m:11119", MRreviewer = "G. Ramharter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Sydney Univ., NSW, Australia", 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", MRclass = "11T06 (11Y16)", MRnumber = "90j:11135", MRreviewer = "Melvin M. Sweet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "AT\&T Bell Labs., Murray Hill, NJ, USA", 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", MRclass = "11R54 (16A18)", MRnumber = "90e:11178", MRreviewer = "Juliusz Brzezi{\'n}ski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "State Univ., Ghent, Belgium", 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", MRclass = "11R04 (11Y40 68Q25 68Q40)", MRnumber = "90e:11154", MRreviewer = "A. K. Lenstra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D05 (65N30)", MRnumber = "90j:65021", MRreviewer = "Qian Li", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65N30 (65N15)", MRnumber = "90h:65189", MRreviewer = "Long An Ying", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "INRIA, Le Chesnay, France", 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", MRclass = "65N30", MRnumber = "90i:65192", MRreviewer = "Ervin Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65M10", MRnumber = "90j:65114", MRreviewer = "John C. Strikwerda", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Sci. Inst., Cornell Univ., Ithaca, NY, USA", 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", MRclass = "65M60 (35L65 65N30)", MRnumber = "90k:65162", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290H (Linear algebra); C4170 (Differential equations); C4140 (Linear algebra)", corpsource = "Sch. of Math., Minnesota Univ., Minneapolis, MN, USA", 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", MRclass = "65L06", MRnumber = "91g:65177", MRreviewer = "G. Hall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D30 (41A55)", MRnumber = "91e:65034", MRreviewer = "Helmut Brass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D32", MRnumber = "91a:65062", MRreviewer = "Hans Strauss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "40A25 (41A10 65B10)", MRnumber = "90i:40004", MRreviewer = "G{\"u}nther N{\"u}rnberger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0220 (Analysis); C1110 (Algebra); C1120 (Analysis)", corpsource = "Abteilung Math., Ulm Univ., West Germany", 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", MRclass = "65F10 (65N22)", MRnumber = "91b:65036", MRreviewer = "Harry Yserentant", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", 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", MRclass = "65F10 (15A23 65N20)", MRnumber = "90h:65047", MRreviewer = "Stavros A. Belbas", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Inf., Oslo Univ., Norway", 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", MRclass = "65G10 (65G05 65H10)", MRnumber = "91h:65072", MRreviewer = "Miodrag Petkovi{\'c}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Tech. Univ., Hamburg, West Germany", 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", MRclass = "65C10", MRnumber = "91d:65012", MRreviewer = "Istv{\'a}n D{\'e}ak", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods); C7310 (Mathematics)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", 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", MRclass = "68R10 (05C99)", MRnumber = "90k:68135", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Twente Univ., Enschede, Netherlands", 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", MRclass = "11T06 (12-04 68Q40)", MRnumber = "90i:11141", MRreviewer = "Joachim von zur Gathen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "20G20 (20C30)", MRnumber = "90k:20076", MRreviewer = "A. O. Morris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0250 (Combinatorial mathematics); C4140 (Linear algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", 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", MRclass = "14B05 (14-04 14H20 68Q25)", MRnumber = "90j:14007", MRreviewer = "Felipe Cucker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory); C1160 (Combinatorial mathematics)", 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", MRclass = "11Y05", MRnumber = "90j:11142", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "11Y40 (11R29)", MRnumber = "90h:11112", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Univ. des Saarlandes, Saarbrucken, West Germany", 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", MRclass = "11Y40 (11R21 11R29)", MRnumber = "90k:11169", MRreviewer = "Joe P. Buhler", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "CeReMaB, Talence, France", 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", MRclass = "11P05 (11J25 11Y16)", MRnumber = "90i:11109", MRreviewer = "Herman J. J. te Riele", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory); C1160 (Combinatorial mathematics)", corpsource = "CNRS, Bordeaux 1 Univ., Talence, France", 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", MRclass = "11D41", MRnumber = "90h:11024", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory); C1160 (Combinatorial mathematics)", 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", MRclass = "11A41 (11A07 11Y05)", MRnumber = "92a:11011b", bibdate = "Sat Oct 24 17:17:40 1998", note = "See \cite{Morain:1989:DEP}.", acknowledgement = ack-nhfb, } @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", MRclass = "65N30 (65F10)", MRnumber = "90k:65170", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Math/kbmath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, 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", 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", MRclass = "65N55 (65F10 65N30)", MRnumber = "91g:65268", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", 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", MRclass = "65N05 (35R60 39A12)", MRnumber = "90m:65176", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C1330 (Optimal control)", corpsource = "Centre For Math. Analysis, Australian Nat. Univ., ACT, Australia", 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", MRclass = "65M12", MRnumber = "91h:65139", MRreviewer = "R{\'e}mi Vaillancourt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "35Q30 (65N99 76D05 76D07)", MRnumber = "91d:35170", MRreviewer = "Howard Swann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A4710 (General theory, simulation and other computational methods); A0230 (Function theory, analysis)", corpsource = "Dept. of Math., Peking Univ., China", 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", MRclass = "65N30 (49J40 65K05)", MRnumber = "91c:65070", MRreviewer = "Francesco Scarpini", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "11N35 (34K05)", MRnumber = "90j:11091", MRreviewer = "H.-E. Richert", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0230 (Function theory, analysis)", corpsource = "Dept. of Math., California Univ., Davis, CA, USA", 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", MRclass = "65H10 (90C30)", MRnumber = "90m:65108", MRreviewer = "Carl T. Kelley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Appl. Math. Lab., IMECC Univ., Estactual de Campinas, Brazil", 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", MRclass = "65F15 (58F08 58F12 58F14)", MRnumber = "90j:65056", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Comput. Sci., Emory Univ., Atlanta, GA, USA", 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", MRclass = "65F30", MRnumber = "90m:65085", MRreviewer = "Israel Koltracht", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Lehman College, City Univ. of New York, Bronx, NY, USA", 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", MRclass = "65D15", MRnumber = "91h:65030", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0260 (Optimisation techniques); C4130 (Interpolation and function approximation); C1180 (Optimisation techniques)", 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", MRclass = "65D05 (41A05)", MRnumber = "91c:65008", MRreviewer = "T. J. Rivlin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Istituto Per Applicazioni Della Matematica, CNR, Napoli, Italy", 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", MRclass = "65R20 (45L05)", MRnumber = "90m:65230", MRreviewer = "P. Uba", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D32 (41A55 42C05)", MRnumber = "90j:65043", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. Fur Math., J. Kepler Univ., Linz, Austria", 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", MRclass = "65D32 (41A55)", MRnumber = "91d:65043", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Math., Hildesheim Univ., West Germany", 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", MRclass = "65D30", MRnumber = "90m:65051", MRreviewer = "C. Dagnino", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst. of Sci., Rehovot, Israel", 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", MRclass = "65C10 (11K45)", MRnumber = "91e:65016", MRreviewer = "R. G. Stoneham", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods); C7310 (Mathematics)", corpsource = "Inst. for Inf. Processing, Austrian Acad. of Sci., Vienna, Austria", 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", MRclass = "65C10 (11K45)", MRnumber = "91b:65007", MRreviewer = "Kazuo Goto", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., West Indies Univ., Jamaica", 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", MRclass = "11P68 (05A19 05A30 11B65)", MRnumber = "90j:11102", MRreviewer = "George E. Andrews", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Math. and Its Applications, Minnesota Univ., Minneapolis, MN, USA", 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", MRclass = "11R16 (11Y40)", MRnumber = "90m:11155", MRreviewer = "Joe P. Buhler", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", 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", MRclass = "11Y50 (11D09)", MRnumber = "91d:11164", MRreviewer = "Brigitte Vall{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Math. and Stat., Carleton Univ., Ottowa, Ont., Canada", 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", MRclass = "11N32 (11-04 11Y35)", MRnumber = "90j:11090", MRreviewer = "S. W. Graham", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", 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", MRclass = "11R44 (11Y11 11Y40)", MRnumber = "91m:11096", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "11A41 (11Y11)", MRnumber = "90j:11013", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Amdahl Corp., Sunnyvale, CA, USA", 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", MRclass = "11A51 (11Y11)", MRnumber = "90m:11018", MRreviewer = "Herman J. J. te Riele", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "IBM Sci. Center, Heidelberg, West Germany", keywords = "algorithm; Carmichael numbers; number theory", treatment = "T Theoretical or Mathematical", } @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", MRclass = "41A15", MRnumber = "90j:41017", bibdate = "Thu Apr 10 10:22:20 1997", acknowledgement = ack-nhfb, } @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", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @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", MRclass = "65N30 (65F10 65N22 76D07 76M10)", MRnumber = "91d:65167", MRreviewer = "Jan Mandel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, 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", 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", MRclass = "65N55 (65F10 65N30)", MRnumber = "91g:65269", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", 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", MRclass = "65N38 (65R20)", MRnumber = "91d:65181", MRreviewer = "Hartmut Strese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65N30 (35Q53)", MRnumber = "92h:65172", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65M60 (65M15)", MRnumber = "91d:65138", MRreviewer = "K. Najzar", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "41A65 (65J05 65N30)", MRnumber = "91c:41095", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Pierre et Marie Curie, Paris, France", 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", MRclass = "65M06 (65M12)", MRnumber = "91d:65128", MRreviewer = "A. O. Oganesyan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0260 (Optimisation techniques); C4170 (Differential equations); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA", 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", MRclass = "65L20 (65J15)", MRnumber = "91d:65117", MRreviewer = "A. M. Galperin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Xiangtan Univ., China", 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", MRclass = "65L99 (65D15)", MRnumber = "91d:65125", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Padova Univ., Italy", 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", MRclass = "65F20 (15A06 65F30)", MRnumber = "91c:65031", MRreviewer = "James Weldon Demmel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", 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", MRclass = "41A25 (41A10 41A15)", MRnumber = "91g:41022", MRreviewer = "A. S. Cavaretta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D10 (65D15 68T10 68U05)", MRnumber = "91c:65013", MRreviewer = "Jie Tian", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D32 (33C45 41A55)", MRnumber = "91e:65042", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D30", MRnumber = "91d:65038", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", MRclass = "65D32", MRnumber = "91j:65047", MRreviewer = "G. F. Miller", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, 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", 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", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", 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", MRclass = "68Q40 (11R33 20C40)", MRnumber = "91d:68057", MRreviewer = "David Pokrass Jacobs", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C1110 (Algebra); C4240 (Programming and algorithm theory)", corpsource = "Eotvos Univ., Budapest, Hungary", 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", MRclass = "11G05 (14G25)", MRnumber = "91d:11063", MRreviewer = "Marc Hindry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Math., Brown Univ., Providence, RI, USA", 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", MRclass = "11Y16 (11G10 11G15 11Y05 14G15)", MRnumber = "91a:11071", MRreviewer = "Joseph H. Silverman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C1110 (Algebra); C4240 (Programming and algorithm theory)", corpsource = "Sch. of Math., Inst. for Adv. Study, Princeton, NJ, USA", 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", MRclass = "11J06 (11F99)", MRnumber = "91c:11036", MRreviewer = "Richard T. Bumby", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0210 (Algebra); C4130 (Interpolation and function approximation); C1110 (Algebra)", 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", MRclass = "11Y11 (11A51 11B37 11B50)", MRnumber = "91a:11067", MRreviewer = "W. W. Adams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. and Comput. Sci., San Diego Univ., CA, USA", keywords = "linear recurrence sequences; number theory; primality tests; pseudoprimes",