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 74, Number 251
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Convergence of a step-doubling Galerkin method for parabolic problems: Bruce P. Ayati and Todd F. Dupont;; Math. Comp. 74 (2005), 1053-1065; DOI: https://doi.org/10.1090/S0025-5718-04-01696-5; Published electronically: September 10, 2004; PDF

A locally conservative LDG method for the incompressible Navier-Stokes equations: Bernardo Cockburn, Guido Kanschat and Dominik Schötzau;; Math. Comp. 74 (2005), 1067-1095; DOI: https://doi.org/10.1090/S0025-5718-04-01718-1; Published electronically: October 5, 2004; HTML | PDF

Pointwise error estimates of the local discontinuous Galerkin method for a second order elliptic problem: Hongsen Chen;; Math. Comp. 74 (2005), 1097-1116; DOI: https://doi.org/10.1090/S0025-5718-04-01700-4; Published electronically: July 16, 2004; PDF

A posteriori analysis of the finite element discretization of some parabolic equations: A. Bergam, C. Bernardi and Z. Mghazli;; Math. Comp. 74 (2005), 1117-1138; DOI: https://doi.org/10.1090/S0025-5718-04-01697-7; Published electronically: August 10, 2004; PDF

BEM with linear complexity for the classical boundary integral operators: Steffen Börm and Stefan A. Sauter;; Math. Comp. 74 (2005), 1139-1177; DOI: https://doi.org/10.1090/S0025-5718-04-01733-8; Published electronically: December 8, 2004; PDF

Efficient inversion of the Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients: Mario Bebendorf;; Math. Comp. 74 (2005), 1179-1199; DOI: https://doi.org/10.1090/S0025-5718-04-01716-8; Published electronically: September 17, 2004; PDF

Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations: Yinnian He;; Math. Comp. 74 (2005), 1201-1216; DOI: https://doi.org/10.1090/S0025-5718-05-01751-5; Published electronically: February 16, 2005; PDF

A convergent difference scheme for the infinity Laplacian: construction of absolutely minimizing Lipschitz extensions: Adam M. Oberman;; Math. Comp. 74 (2005), 1217-1230; DOI: https://doi.org/10.1090/S0025-5718-04-01688-6; Published electronically: September 10, 2004; PDF

A domain decomposition method using efficient interface-acting preconditioners: Serge Kräutle;; Math. Comp. 74 (2005), 1231-1256; DOI: https://doi.org/10.1090/S0025-5718-04-01706-5; Published electronically: September 17, 2004; PDF

Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations: Qiang Du and Lili Ju;; Math. Comp. 74 (2005), 1257-1280; DOI: https://doi.org/10.1090/S0025-5718-04-01719-3; Published electronically: December 8, 2004; PDF

A finite dimensional realization of the mollifier method for compact operator equations: M. T. Nair and Shine Lal;; Math. Comp. 74 (2005), 1281-1290; DOI: https://doi.org/10.1090/S0025-5718-04-01707-7; Published electronically: August 26, 2004; PDF

A partial differential equation connected to option pricing with stochastic volatility: Regularity results and discretization: Yves Achdou, Bruno Franchi and Nicoletta Tchou;; Math. Comp. 74 (2005), 1291-1322; DOI: https://doi.org/10.1090/S0025-5718-04-01714-4; Published electronically: October 5, 2004; PDF

Balanced multi-wavelets in $\mathbb R^s$: Charles K. Chui and Qingtang Jiang;; Math. Comp. 74 (2005), 1323-1344; DOI: https://doi.org/10.1090/S0025-5718-04-01681-3; Published electronically: June 7, 2004; PDF

Noninterpolatory Hermite subdivision schemes: Bin Han, Thomas P.-Y. Yu and Yonggang Xue;; Math. Comp. 74 (2005), 1345-1367; DOI: https://doi.org/10.1090/S0025-5718-04-01704-1; Published electronically: September 10, 2004; PDF

Refinable bivariate quartic $C^2$-splines for multi-level data representation and surface display: Charles K. Chui and Qingtang Jiang;; Math. Comp. 74 (2005), 1369-1390; DOI: https://doi.org/10.1090/S0025-5718-04-01702-8; Published electronically: July 28, 2004; PDF

Instability analysis of saddle points by a local minimax method: Jianxin Zhou;; Math. Comp. 74 (2005), 1391-1411; DOI: https://doi.org/10.1090/S0025-5718-04-01694-1; Published electronically: July 20, 2004; PDF

Global convergence of SSM for minimizing a quadratic over a sphere: William W. Hager and Soonchul Park;; Math. Comp. 74 (2005), 1413-1423; DOI: https://doi.org/10.1090/S0025-5718-04-01731-4; Published electronically: December 30, 2004; PDF

Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums: Pedro Freitas;; Math. Comp. 74 (2005), 1425-1440; DOI: https://doi.org/10.1090/S0025-5718-05-01747-3; Published electronically: February 14, 2005; PDF

The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors: Zhongxiao Jia;; Math. Comp. 74 (2005), 1441-1456; DOI: https://doi.org/10.1090/S0025-5718-04-01684-9; Published electronically: June 1, 2004; PDF

Real zeros of Dedekind zeta functions of real quadratic fields: Kok Seng Chua;; Math. Comp. 74 (2005), 1457-1470; DOI: https://doi.org/10.1090/S0025-5718-04-01701-6; Published electronically: July 21, 2004; PDF

Predicting nonlinear pseudorandom number generators: Simon R. Blackburn, Domingo Gomez-Perez, Jaime Gutierrez and Igor E. Shparlinski;; Math. Comp. 74 (2005), 1471-1494; DOI: https://doi.org/10.1090/S0025-5718-04-01698-9; Published electronically: July 27, 2004; PDF

Computing the tight closure in dimension two: Holger Brenner;; Math. Comp. 74 (2005), 1495-1518; DOI: https://doi.org/10.1090/S0025-5718-05-01730-8; Published electronically: January 27, 2005; PDF

Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations: Ki-ichiro Hashimoto and Akinari Hoshi;; Math. Comp. 74 (2005), 1519-1530; DOI: https://doi.org/10.1090/S0025-5718-05-01750-3; Published electronically: February 14, 2005; PDF

Solving quadratic equations using reduced unimodular quadratic forms: Denis Simon;; Math. Comp. 74 (2005), 1531-1543; DOI: https://doi.org/10.1090/S0025-5718-05-01729-1; Published electronically: January 27, 2005; PDF

Computing weight $2$ modular forms of level $p^2$: Ariel Pacetti and Fernando Rodriguez Villegas; with an appendix by B. Gross; Math. Comp. 74 (2005), 1545-1557; DOI: https://doi.org/10.1090/S0025-5718-04-01709-0; Published electronically: September 10, 2004; PDF

The continuing search for Wieferich primes: Joshua Knauer and Jörg Richstein;; Math. Comp. 74 (2005), 1559-1563; DOI: https://doi.org/10.1090/S0025-5718-05-01723-0; Published electronically: January 19, 2005; PDF

On the nonexistence of $2$-cycles for the $3x+1$ problem: John L. Simons;; Math. Comp. 74 (2005), 1565-1572; DOI: https://doi.org/10.1090/S0025-5718-04-01728-4; Published electronically: December 8, 2004; PDF

Erratum to “Some new kinds of pseudoprimes”: Jerzy Browkin;; Math. Comp. 74 (2005), 1573-1573; DOI: https://doi.org/10.1090/S0025-5718-05-01760-6; Published electronically: February 24, 2005; PDF