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 73, Number 246
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Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case
Alfred H. Schatz and Lars B. Wahlbin;
Math. Comp. 73 (2004), 517-523
DOI: https://doi.org/10.1090/S0025-5718-03-01570-9
Published electronically: June 17, 2003
A multilevel successive iteration method for nonlinear elliptic problems
Yunqing Huang, Zhongci Shi, Tao Tang and Weimin Xue;
Math. Comp. 73 (2004), 525-539
DOI: https://doi.org/10.1090/S0025-5718-03-01566-7
Published electronically: July 14, 2003
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits
Xiaobing Feng and Andreas Prohl;
Math. Comp. 73 (2004), 541-567
DOI: https://doi.org/10.1090/S0025-5718-03-01588-6
Published electronically: July 28, 2003
The local discontinuous Galerkin method for the Oseen equations
Bernardo Cockburn, Guido Kanschat and Dominik Schötzau;
Math. Comp. 73 (2004), 569-593
DOI: https://doi.org/10.1090/S0025-5718-03-01552-7
Published electronically: May 21, 2003
Finite difference method for a combustion model
Lung-An Ying;
Math. Comp. 73 (2004), 595-611
DOI: https://doi.org/10.1090/S0025-5718-03-01601-6
Published electronically: October 27, 2003
Linearly implicit methods for nonlinear parabolic equations
Georgios Akrivis and Michel Crouzeix;
Math. Comp. 73 (2004), 613-635
DOI: https://doi.org/10.1090/S0025-5718-03-01573-4
Published electronically: June 19, 2003
The Dirichlet problem on quadratic surfaces
Sheldon Axler, Pamela Gorkin and Karl Voss;
Math. Comp. 73 (2004), 637-651
DOI: https://doi.org/10.1090/S0025-5718-03-01574-6
Published electronically: June 10, 2003
Gaussian elimination is stable for the inverse of a diagonally dominant matrix
Alan George and Khakim D. Ikramov;
Math. Comp. 73 (2004), 653-657
DOI: https://doi.org/10.1090/S0025-5718-03-01591-6
Published electronically: October 17, 2003
Substructuring preconditioners for the three fields domain decomposition method
Silvia Bertoluzza;
Math. Comp. 73 (2004), 659-689
DOI: https://doi.org/10.1090/S0025-5718-03-01550-3
Published electronically: October 17, 2003
Sequential and parallel synchronous alternating iterative methods
Joan-Josep Climent, Carmen Perea, Leandro Tortosa and Antonio Zamora;
Math. Comp. 73 (2004), 691-717
DOI: https://doi.org/10.1090/S0025-5718-03-01607-7
Published electronically: November 24, 2003
Computation of multiple eigenvalues of infinite tridiagonal matrices
Yoshinori Miyazaki, Nobuyoshi Asai, Yasushi Kikuchi, DongSheng Cai and Yasuhiko Ikebe;
Math. Comp. 73 (2004), 719-730
DOI: https://doi.org/10.1090/S0025-5718-03-01555-2
Published electronically: June 19, 2003
Approximating the jump discontinuities of a function by its Fourier-Jacobi coefficients
George Kvernadze;
Math. Comp. 73 (2004), 731-751
DOI: https://doi.org/10.1090/S0025-5718-03-01594-1
Published electronically: July 29, 2003
Spherical harmonic projectors
Paul N. Swarztrauber and William F. Spotz;
Math. Comp. 73 (2004), 753-760
DOI: https://doi.org/10.1090/S0025-5718-03-01597-7
Published electronically: October 2, 2003
Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups
Antonella Zanna;
Math. Comp. 73 (2004), 761-776
DOI: https://doi.org/10.1090/S0025-5718-03-01602-8
Published electronically: November 5, 2003
Optimal rate of convergence of a stochastic particle method to solutions of 1D viscous scalar conservation laws
Mireille Bossy;
Math. Comp. 73 (2004), 777-812
DOI: https://doi.org/10.1090/S0025-5718-03-01551-5
Published electronically: June 18, 2003
A Monte Carlo algorithm for weighted integration over $\mathbb {R}^d$
Piotr Gajda, Youming Li, Leszek Plaskota and Grzegorz W. Wasilkowski;
Math. Comp. 73 (2004), 813-825
DOI: https://doi.org/10.1090/S0025-5718-03-01564-3
Published electronically: August 19, 2003
Quasi–Monte Carlo integration over $\mathbb {R}^d$
Peter Mathé and Gang Wei;
Math. Comp. 73 (2004), 827-841
DOI: https://doi.org/10.1090/S0025-5718-03-01569-2
Published electronically: August 7, 2003
A sensitive algorithm for detecting the inequivalence of Hadamard matrices
Kai-Tai Fang and Gennian Ge;
Math. Comp. 73 (2004), 843-851
DOI: https://doi.org/10.1090/S0025-5718-03-01539-4
Published electronically: September 2, 2003
A lower bound for rank 2 lattice rules
Friedrich Pillichshammer;
Math. Comp. 73 (2004), 853-860
DOI: https://doi.org/10.1090/S0025-5718-03-01596-5
Published electronically: July 29, 2003
Searching for Kummer congruences in an infinite slope family
B. Datskovsky and P. Guerzhoy;
Math. Comp. 73 (2004), 861-868
DOI: https://doi.org/10.1090/S0025-5718-03-01608-9
Published electronically: October 2, 2003
Elliptic curves with nonsplit mod $11$ representations
Imin Chen and Chris Cummins;
Math. Comp. 73 (2004), 869-880
DOI: https://doi.org/10.1090/S0025-5718-03-01562-X
Published electronically: June 17, 2003
On equivariant global epsilon constants for certain dihedral extensions
Manuel Breuning;
Math. Comp. 73 (2004), 881-898
DOI: https://doi.org/10.1090/S0025-5718-03-01605-3
Published electronically: August 19, 2003
New frameworks for Montgomery’s modular multiplication method
Philip B. McLaughlin Jr.;
Math. Comp. 73 (2004), 899-906
DOI: https://doi.org/10.1090/S0025-5718-03-01543-6
Published electronically: May 7, 2003
Class numbers of imaginary quadratic fields
Mark Watkins;
Math. Comp. 73 (2004), 907-938
DOI: https://doi.org/10.1090/S0025-5718-03-01517-5
Published electronically: October 2, 2003
First-hit analysis of algorithms for computing quadratic irregularity
Joshua Holden;
Math. Comp. 73 (2004), 939-948
DOI: https://doi.org/10.1090/S0025-5718-03-01593-X
Published electronically: July 28, 2003
Computational estimation of the order of $\zeta (\frac {1}{2}+it)$
Tadej Kotnik;
Math. Comp. 73 (2004), 949-956
DOI: https://doi.org/10.1090/S0025-5718-03-01568-0
Published electronically: July 14, 2003
On testing the divisibility of lacunary polynomials by cyclotomic polynomials
Michael Filaseta and Andrzej Schinzel;
Math. Comp. 73 (2004), 957-965
DOI: https://doi.org/10.1090/S0025-5718-03-01589-8
Published electronically: August 5, 2003
A complete description of Golay pairs for lengths up to 100
P. B. Borwein and R. A. Ferguson;
Math. Comp. 73 (2004), 967-985
DOI: https://doi.org/10.1090/S0025-5718-03-01576-X
Published electronically: July 1, 2003
The holomorphic flow of the Riemann zeta function
Kevin A. Broughan and A. Ross Barnett;
Math. Comp. 73 (2004), 987-1004
DOI: https://doi.org/10.1090/S0025-5718-03-01529-1
Published electronically: November 26, 2003
On the multidimensional distribution of the subset sum generator of pseudorandom numbers
Alessandro Conflitti and Igor E. Shparlinski;
Math. Comp. 73 (2004), 1005-1011
DOI: https://doi.org/10.1090/S0025-5718-03-01563-1
Published electronically: September 2, 2003
An estimate for the number of integers without large prime factors
Koji Suzuki;
Math. Comp. 73 (2004), 1013-1022
DOI: https://doi.org/10.1090/S0025-5718-03-01571-0
Published electronically: July 1, 2003
Prime sieves using binary quadratic forms
A. O. L. Atkin and D. J. Bernstein;
Math. Comp. 73 (2004), 1023-1030
DOI: https://doi.org/10.1090/S0025-5718-03-01501-1
Published electronically: December 19, 2003
Some new kinds of pseudoprimes
Jerzy Browkin;
Math. Comp. 73 (2004), 1031-1037
DOI: https://doi.org/10.1090/S0025-5718-03-01617-X
Published electronically: August 20, 2003

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

High-order methods for incompressible fluid flow, by M. O. Deville, P. F. Fischer and E. H. Mund.
Lectures on modern convex optimization: analysis, algorithms and engineering applications, by Aharon Ben-Tal and Arkadi Nemirovski.
Reviewers: David Gottlieb and Sigal Gottlieb
Reviewer: Paul Tseng
Review information PDF
Math. Comp. 73 (2004), 1039-1040