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. What is MCQ?

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Contents of Volume 79, Number 272
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Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions: J. M. Melenk and S. Sauter;; Math. Comp. 79 (2010), 1871-1914; DOI: https://doi.org/10.1090/S0025-5718-10-02362-8; Published electronically: April 27, 2010; PDF

A new multiscale finite element method for high-contrast elliptic interface problems: C.-C. Chu, I. G. Graham and T.-Y. Hou;; Math. Comp. 79 (2010), 1915-1955; DOI: https://doi.org/10.1090/S0025-5718-2010-02372-5; Published electronically: May 25, 2010; PDF

Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations: Ľubomír Baňas and Andreas Prohl;; Math. Comp. 79 (2010), 1957-1999; DOI: https://doi.org/10.1090/S0025-5718-10-02341-0; Published electronically: April 21, 2010; PDF

Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods: Martin Vohralík;; Math. Comp. 79 (2010), 2001-2032; DOI: https://doi.org/10.1090/S0025-5718-2010-02375-0; Published electronically: May 26, 2010; PDF

Multigrid in a weighted space arising from axisymmetric electromagnetics: Dylan M. Copeland, Jayadeep Gopalakrishnan and Minah Oh;; Math. Comp. 79 (2010), 2033-2058; DOI: https://doi.org/10.1090/S0025-5718-2010-02384-1; Published electronically: May 24, 2010; PDF

Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems: Qiya Hu, Shi Shu and Junxian Wang;; Math. Comp. 79 (2010), 2059-2078; DOI: https://doi.org/10.1090/S0025-5718-10-02361-6; Published electronically: April 26, 2010; PDF

Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem: James H. Bramble, Joseph E. Pasciak and Dimitar Trenev;; Math. Comp. 79 (2010), 2079-2101; DOI: https://doi.org/10.1090/S0025-5718-10-02355-0; Published electronically: April 19, 2010; PDF

Two-point Taylor expansions and one-dimensional boundary value problems: José L. López and Ester Pérez Sinusía;; Math. Comp. 79 (2010), 2103-2115; DOI: https://doi.org/10.1090/S0025-5718-10-02370-7; Published electronically: April 29, 2010; PDF

$hp$-Optimal discontinuous Galerkin methods for linear elliptic problems: Benjamin Stamm and Thomas P. Wihler;; Math. Comp. 79 (2010), 2117-2133; DOI: https://doi.org/10.1090/S0025-5718-10-02335-5; Published electronically: April 9, 2010; PDF

Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations: Konstantinos Chrysafinos and Noel J. Walkington;; Math. Comp. 79 (2010), 2135-2167; DOI: https://doi.org/10.1090/S0025-5718-10-02348-3; Published electronically: April 14, 2010; PDF

A new error analysis for discontinuous finite element methods for linear elliptic problems: Thirupathi Gudi;; Math. Comp. 79 (2010), 2169-2189; DOI: https://doi.org/10.1090/S0025-5718-10-02360-4; Published electronically: April 12, 2010; PDF

On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems: Qinian Jin;; Math. Comp. 79 (2010), 2191-2211; DOI: https://doi.org/10.1090/S0025-5718-10-02359-8; Published electronically: April 20, 2010; PDF

A local min-max-orthogonal method for finding multiple solutions to noncooperative elliptic systems: Xianjin Chen and Jianxin Zhou;; Math. Comp. 79 (2010), 2213-2236; DOI: https://doi.org/10.1090/S0025-5718-10-02336-7; Published electronically: March 26, 2010; PDF

Spectral method on quadrilaterals: Guo Ben-yu and Jia Hong-li;; Math. Comp. 79 (2010), 2237-2264; DOI: https://doi.org/10.1090/S0025-5718-10-02329-X; Published electronically: April 8, 2010; PDF

Approximation of the discontinuities of a function by its classical orthogonal polynomial Fourier coefficients: George Kvernadze;; Math. Comp. 79 (2010), 2265-2285; DOI: https://doi.org/10.1090/S0025-5718-10-02366-5; Published electronically: April 21, 2010; PDF

Asymptotics of greedy energy points: A. López García and E. B. Saff;; Math. Comp. 79 (2010), 2287-2316; DOI: https://doi.org/10.1090/S0025-5718-10-02358-6; Published electronically: April 16, 2010; PDF

More on solving systems of power equations: Yingquan Wu;; Math. Comp. 79 (2010), 2317-2332; DOI: https://doi.org/10.1090/S0025-5718-10-02363-X; Published electronically: April 20, 2010; PDF

Smooth analysis of the condition number and the least singular value: Terence Tao and Van Vu;; Math. Comp. 79 (2010), 2333-2352; DOI: https://doi.org/10.1090/S0025-5718-2010-02396-8; Published electronically: June 4, 2010; PDF

Using partial smoothness of $p-1$ for factoring polynomials modulo $p$: Bartosz Źrałek;; Math. Comp. 79 (2010), 2353-2359; DOI: https://doi.org/10.1090/S0025-5718-2010-02377-4; Published electronically: May 20, 2010; PDF

A multimodular algorithm for computing Bernoulli numbers: David Harvey;; Math. Comp. 79 (2010), 2361-2370; DOI: https://doi.org/10.1090/S0025-5718-2010-02367-1; Published electronically: June 2, 2010; PDF

Equations for the modular curve $X_1(N)$ and models of elliptic curves with torsion points: Houria Baaziz;; Math. Comp. 79 (2010), 2371-2386; DOI: https://doi.org/10.1090/S0025-5718-10-02332-X; Published electronically: April 16, 2010; PDF

The smallest Perron numbers: Qiang Wu;; Math. Comp. 79 (2010), 2387-2394; DOI: https://doi.org/10.1090/S0025-5718-10-02345-8; Published electronically: April 26, 2010; PDF

A sharp region where $\pi (x)-{\mathrm {li}}(x)$ is positive: Yannick Saouter and Patrick Demichel;; Math. Comp. 79 (2010), 2395-2405; DOI: https://doi.org/10.1090/S0025-5718-10-02351-3; Published electronically: April 14, 2010; PDF

On a family of Thue equations of degree $16$: Volker Ziegler;; Math. Comp. 79 (2010), 2407-2429; DOI: https://doi.org/10.1090/S0025-5718-10-02354-9; Published electronically: April 29, 2010; PDF

Computing a lower bound for the canonical height on elliptic curves over number fields: Thotsaphon Thongjunthug;; Math. Comp. 79 (2010), 2431-2449; DOI: https://doi.org/10.1090/S0025-5718-10-02352-5; Published electronically: April 12, 2010; PDF

Odd harmonic numbers exceed $10^{24}$: Graeme L. Cohen and Ronald M. Sorli;; Math. Comp. 79 (2010), 2451-2460; DOI: https://doi.org/10.1090/S0025-5718-10-02337-9; Published electronically: April 9, 2010; PDF