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 82, Number 282
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Local pointwise a posteriori gradient error bounds for the Stokes equations: Alan Demlow and Stig Larsson;; Math. Comp. 82 (2013), 625-649; DOI: https://doi.org/10.1090/S0025-5718-2012-02647-0; Published electronically: November 27, 2012; PDF

Conditions for superconvergence of HDG methods for Stokes flow: Bernardo Cockburn and Ke Shi;; Math. Comp. 82 (2013), 651-671; DOI: https://doi.org/10.1090/S0025-5718-2012-02644-5; Published electronically: September 18, 2012; PDF

A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients: S. Bidwell, M. E. Hassell and C. R. Westphal;; Math. Comp. 82 (2013), 673-688; DOI: https://doi.org/10.1090/S0025-5718-2012-02659-7; Published electronically: December 4, 2012; PDF

Error estimates for Galerkin approximations of the “classical” Boussinesq system: D. C. Antonopoulos and V. A. Dougalis;; Math. Comp. 82 (2013), 689-717; DOI: https://doi.org/10.1090/S0025-5718-2012-02663-9; Published electronically: December 12, 2012; PDF

Operator splitting for two-dimensional incompressible fluid equations: Helge Holden, Kenneth H. Karlsen and Trygve Karper;; Math. Comp. 82 (2013), 719-748; DOI: https://doi.org/10.1090/S0025-5718-2012-02626-3; Published electronically: June 27, 2012; PDF

A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations: Shi Jin, Jian-guo Liu and Li Wang;; Math. Comp. 82 (2013), 749-779; DOI: https://doi.org/10.1090/S0025-5718-2012-02643-3; Published electronically: October 9, 2012; PDF

A discrete KPP-theory for Fisher’s equation: Bengt Hakberg;; Math. Comp. 82 (2013), 781-802; DOI: https://doi.org/10.1090/S0025-5718-2012-02642-1; Published electronically: August 21, 2012; PDF

An improved interpolation scheme for finite volume simulations on unstructured meshes: Samuel K. M. Chenoweth, Julio Soria and Andrew Ooi;; Math. Comp. 82 (2013), 803-830; DOI: https://doi.org/10.1090/S0025-5718-2012-02639-1; Published electronically: November 14, 2012; PDF

Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations: Christophe Berthon, Philippe G. LeFloch and Rodolphe Turpault;; Math. Comp. 82 (2013), 831-860; DOI: https://doi.org/10.1090/S0025-5718-2012-02666-4; Published electronically: December 13, 2012; PDF

Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow: Vladimir Molchanov and Marcel Oliver;; Math. Comp. 82 (2013), 861-891; DOI: https://doi.org/10.1090/S0025-5718-2012-02648-2; Published electronically: August 21, 2012; PDF

Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point: Alexander Dick, Othmar Koch, Roswitha März and Ewa Weinmüller;; Math. Comp. 82 (2013), 893-918; DOI: https://doi.org/10.1090/S0025-5718-2012-02637-8; Published electronically: September 10, 2012; PDF

Error estimates for Gaussian beam superpositions: Hailiang Liu, Olof Runborg and Nicolay M. Tanushev;; Math. Comp. 82 (2013), 919-952; DOI: https://doi.org/10.1090/S0025-5718-2012-02656-1; Published electronically: November 6, 2012; PDF

The FD-method for solving Sturm-Liouville problems with special singular differential operator: V. L. Makarov, D. V. Dragunov and Ya. V. Klimenko;; Math. Comp. 82 (2013), 953-973; DOI: https://doi.org/10.1090/S0025-5718-2012-02634-2; Published electronically: August 8, 2012; PDF

On the construction of sparse tensor product spaces: Michael Griebel and Helmut Harbrecht;; Math. Comp. 82 (2013), 975-994; DOI: https://doi.org/10.1090/S0025-5718-2012-02638-X; Published electronically: August 9, 2012; PDF

$\ell _0$ Minimization for wavelet frame based image restoration: Yong Zhang, Bin Dong and Zhaosong Lu;; Math. Comp. 82 (2013), 995-1015; DOI: https://doi.org/10.1090/S0025-5718-2012-02631-7; Published electronically: August 15, 2012; PDF

On exponential convergence of Gegenbauer interpolation and spectral differentiation: Ziqing Xie, Li-Lian Wang and Xiaodan Zhao;; Math. Comp. 82 (2013), 1017-1036; DOI: https://doi.org/10.1090/S0025-5718-2012-02645-7; Published electronically: August 21, 2012; PDF

Error bounds of Gaussian quadrature formulae for one class of Bernstein-Szegő weights: Miodrag M. Spalević;; Math. Comp. 82 (2013), 1037-1056; DOI: https://doi.org/10.1090/S0025-5718-2012-02667-6; Published electronically: December 14, 2012; PDF

Generators of rational spectral transformations for nontrivial $\mathcal {C}$-functions: Kenier Castillo and Francisco Marcellán;; Math. Comp. 82 (2013), 1057-1068; DOI: https://doi.org/10.1090/S0025-5718-2012-02655-X; Published electronically: November 28, 2012; PDF

Zeros of classical orthogonal polynomials of a discrete variable: Iván Area, Dimitar K. Dimitrov, Eduardo Godoy and Vanessa G. Paschoa;; Math. Comp. 82 (2013), 1069-1095; DOI: https://doi.org/10.1090/S0025-5718-2012-02646-9; Published electronically: November 16, 2012; PDF

Complete monotonicity and related properties of some special functions: Stamatis Koumandos and Martin Lamprecht;; Math. Comp. 82 (2013), 1097-1120; DOI: https://doi.org/10.1090/S0025-5718-2012-02629-9; Published electronically: July 25, 2012; PDF

The Prouhet-Tarry-Escott problem for Gaussian integers: Timothy Caley;; Math. Comp. 82 (2013), 1121-1137; DOI: https://doi.org/10.1090/S0025-5718-2012-02532-4; Published electronically: October 22, 2012; PDF

ECM using Edwards curves: Daniel J. Bernstein, Peter Birkner, Tanja Lange and Christiane Peters;; Math. Comp. 82 (2013), 1139-1179; DOI: https://doi.org/10.1090/S0025-5718-2012-02633-0; Published electronically: November 20, 2012; PDF

Computing discrete logarithms in an interval: Steven D. Galbraith, John M. Pollard and Raminder S. Ruprai;; Math. Comp. 82 (2013), 1181-1195; DOI: https://doi.org/10.1090/S0025-5718-2012-02641-X; Published electronically: August 17, 2012; PDF

Some comments on Garsia numbers: Kevin G. Hare and Maysum Panju;; Math. Comp. 82 (2013), 1197-1221; DOI: https://doi.org/10.1090/S0025-5718-2012-02636-6; Published electronically: August 7, 2012; PDF

Continued fractions in $2$-stage Euclidean quadratic fields: Xavier Guitart and Marc Masdeu;; Math. Comp. 82 (2013), 1223-1233; DOI: https://doi.org/10.1090/S0025-5718-2012-02620-2; Published electronically: October 15, 2012; PDF

Numerical approximation of The Masser-Gramain constant to four decimal digits: $\delta = 1.819...$: Guillaume Melquiond, W. Georg Nowak and Paul Zimmermann;; Math. Comp. 82 (2013), 1235-1246; DOI: https://doi.org/10.1090/S0025-5718-2012-02635-4; Published electronically: September 7, 2012; PDF