Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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Contents of Volume 69, Number 229
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A posteriori error estimation and adaptivity for degenerate parabolic problems
R. H. Nochetto, A. Schmidt and C. Verdi;
Math. Comp. 69 (2000), 1-24
DOI: https://doi.org/10.1090/S0025-5718-99-01097-2
Published electronically: August 24, 1999
A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
Dietmar Kröner and Mario Ohlberger;
Math. Comp. 69 (2000), 25-39
DOI: https://doi.org/10.1090/S0025-5718-99-01158-8
Published electronically: August 18, 1999
A finite element approximation for a class of degenerate elliptic equations
Bruno Franchi and Maria Carla Tesi;
Math. Comp. 69 (2000), 41-63
DOI: https://doi.org/10.1090/S0025-5718-99-01075-3
Published electronically: February 19, 1999
A domain embedding preconditioner for the Lagrange multiplier system
Einar Haug and Ragnar Winther;
Math. Comp. 69 (2000), 65-82
DOI: https://doi.org/10.1090/S0025-5718-99-01076-5
Published electronically: March 2, 1999
Finite element approximation for equations of magnetohydrodynamics
Matthias Wiedmer;
Math. Comp. 69 (2000), 83-101
DOI: https://doi.org/10.1090/S0025-5718-99-01146-1
Published electronically: August 17, 1999
Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
So-Hsiang Chou and Qian Li;
Math. Comp. 69 (2000), 103-120
DOI: https://doi.org/10.1090/S0025-5718-99-01192-8
Published electronically: August 25, 1999
On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
Daniele Boffi, Franco Brezzi and Lucia Gastaldi;
Math. Comp. 69 (2000), 121-140
DOI: https://doi.org/10.1090/S0025-5718-99-01072-8
Published electronically: February 19, 1999
Ultraconvergence of the patch recovery technique II
Zhimin Zhang;
Math. Comp. 69 (2000), 141-158
DOI: https://doi.org/10.1090/S0025-5718-99-01205-3
Published electronically: August 25, 1999
Global superconvergence for Maxwell’s equations
Qun Lin and Ningning Yan;
Math. Comp. 69 (2000), 159-176
DOI: https://doi.org/10.1090/S0025-5718-99-01131-X
Published electronically: March 10, 1999
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature
Dongwoo Sheen, Ian H. Sloan and Vidar Thomée;
Math. Comp. 69 (2000), 177-195
DOI: https://doi.org/10.1090/S0025-5718-99-01098-4
Published electronically: April 7, 1999
From formal numerical solutions of elliptic PDE’s to the true ones
Z. Wiener and Y. Yomdin;
Math. Comp. 69 (2000), 197-235
DOI: https://doi.org/10.1090/S0025-5718-99-01147-3
Published electronically: August 19, 1999
Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
G. N. Milstein and M. V. Tretyakov;
Math. Comp. 69 (2000), 237-267
DOI: https://doi.org/10.1090/S0025-5718-99-01134-5
Published electronically: May 21, 1999
On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
David Hunter and Geno Nikolov;
Math. Comp. 69 (2000), 269-282
DOI: https://doi.org/10.1090/S0025-5718-99-01078-9
Published electronically: March 4, 1999
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems
Liqun Qi and Defeng Sun;
Math. Comp. 69 (2000), 283-304
DOI: https://doi.org/10.1090/S0025-5718-99-01082-0
Published electronically: February 19, 1999
Extrapolation methods and derivatives of limits of sequences
Avram Sidi;
Math. Comp. 69 (2000), 305-323
DOI: https://doi.org/10.1090/S0025-5718-99-01169-2
Published electronically: August 17, 1999
The Postage Stamp Problem: An algorithm to determine the $h$-range on the $h$-range formula on the extremal basis problem for $k=4$
Svein Mossige;
Math. Comp. 69 (2000), 325-337
DOI: https://doi.org/10.1090/S0025-5718-99-01204-1
Published electronically: August 23, 1999
On fundamental domains of arithmetic Fuchsian groups
Stefan Johansson;
Math. Comp. 69 (2000), 339-349
DOI: https://doi.org/10.1090/S0025-5718-99-01167-9
Published electronically: September 8, 1999
Computing isogenies between elliptic curves over $F_{p^n}$ using Couveignes’s algorithm
R. Lercier and F. Morain;
Math. Comp. 69 (2000), 351-370
DOI: https://doi.org/10.1090/S0025-5718-99-01081-9
Published electronically: March 4, 1999
Computation of relative class numbers of CM-fields by using Hecke $L$-functions
Stéphane Louboutin;
Math. Comp. 69 (2000), 371-393
DOI: https://doi.org/10.1090/S0025-5718-99-01096-0
Published electronically: May 21, 1999
Solving Thue equations without the full unit group
Guillaume Hanrot;
Math. Comp. 69 (2000), 395-405
DOI: https://doi.org/10.1090/S0025-5718-99-01124-2
Published electronically: May 19, 1999
On the equation $\sum _{p|N}\frac 1p+\frac 1N = 1$, pseudoperfect numbers, and perfectly weighted graphs
William Butske, Lynda M. Jaje and Daniel R. Mayernik;
Math. Comp. 69 (2000), 407-420
DOI: https://doi.org/10.1090/S0025-5718-99-01088-1
Published electronically: August 19, 1999
7373170279850
Jean-Marc Deshouillers, François Hennecart, Bernard Landreau and appendix by I. Gusti Putu Purnaba;
Math. Comp. 69 (2000), 421-439
DOI: https://doi.org/10.1090/S0025-5718-99-01116-3
Published electronically: August 18, 1999

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Orthogonal Rational Functions, by Adhemar Bultheel, Pablo Gonzáles-Vera, Erik Hendriksen and Olav Njåstad.
Reviewer: Marcel G. de Bruin
Review information PDF
Math. Comp. 69 (2000), 441-442