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 2020 MCQ for Mathematics of Computation is 1.78.

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Contents of Volume 82, Number 283
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Finite element approximation of singular power-law systems: Adrian Hirn; Math. Comp. 82 (2013), 1247-1268; DOI: https://doi.org/10.1090/S0025-5718-2013-02668-3; Published electronically: January 18, 2013; PDF

Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number: Xiaobing Feng and Yulong Xing; Math. Comp. 82 (2013), 1269-1296; DOI: https://doi.org/10.1090/S0025-5718-2012-02652-4; Published electronically: October 30, 2012; PDF

Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations: Sangita Yadav, Amiya K. Pani and Eun-Jae Park; Math. Comp. 82 (2013), 1297-1335; DOI: https://doi.org/10.1090/S0025-5718-2013-02662-2; Published electronically: January 24, 2013; PDF

The highest order superconvergence for bi-$k$ degree rectangular elements at nodes: A proof of $2k$-conjecture: Chuanmiao Chen and Shufang Hu; Math. Comp. 82 (2013), 1337-1355; DOI: https://doi.org/10.1090/S0025-5718-2012-02653-6; Published electronically: December 5, 2012; PDF

Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations: Traian Iliescu and Zhu Wang; Math. Comp. 82 (2013), 1357-1378; DOI: https://doi.org/10.1090/S0025-5718-2013-02683-X; Published electronically: March 18, 2013; PDF

A mimetic discretization of elliptic obstacle problems: Paola F. Antonietti, Lourenco Beirão da Veiga and Marco Verani; Math. Comp. 82 (2013), 1379-1400; DOI: https://doi.org/10.1090/S0025-5718-2013-02670-1; Published electronically: February 20, 2013; PDF

Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation: J. L. Bona, H. Chen, O. Karakashian and Y. Xing; Math. Comp. 82 (2013), 1401-1432; DOI: https://doi.org/10.1090/S0025-5718-2013-02661-0; Published electronically: January 7, 2013; PDF

Semi-Lagrangian Schemes for Linear and Fully Non-Linear Diffustion Equations: Math. Comp. 82 (2013), 1433-1462; DOI: https://doi.org/10.1090/S0025-5718-2012-02632-9; Published electronically: December 20, 2012; PDF

Interior estimates for second-order differences of solutions of finite-difference elliptic Bellman’s equations: N. V. Krylov; Math. Comp. 82 (2013), 1463-1487; DOI: https://doi.org/10.1090/S0025-5718-2013-02684-1; Published electronically: March 5, 2013; PDF

On the spectral vanishing viscosity method for periodic fractional conservation laws: Simone Cifani and Espen R. Jakobsen; Math. Comp. 82 (2013), 1489-1514; DOI: https://doi.org/10.1090/S0025-5718-2013-02690-7; Published electronically: March 19, 2013; PDF

An adaptive stochastic Galerkin method for random elliptic operators: Claude Jeffrey Gittelson; Math. Comp. 82 (2013), 1515-1541; DOI: https://doi.org/10.1090/S0025-5718-2013-02654-3; Published electronically: February 12, 2013; PDF

A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations: Yoshitaka Watanabe, Takehiko Kinoshita and Mitsuhiro T. Nakao; Math. Comp. 82 (2013), 1543-1557; DOI: https://doi.org/10.1090/S0025-5718-2013-02676-2; Published electronically: February 25, 2013; PDF

Optimized high-order splitting methods for some classes of parabolic equations: S. Blanes, F. Casas, P. Chartier and A. Murua; Math. Comp. 82 (2013), 1559-1576; DOI: https://doi.org/10.1090/S0025-5718-2012-02657-3; Published electronically: December 10, 2012; PDF

Computing exponentials of essentially non-negative matrices entrywise to high relative accuracy: Jungong Xue and Qiang Ye; Math. Comp. 82 (2013), 1577-1596; DOI: https://doi.org/10.1090/S0025-5718-2013-02677-4; Published electronically: March 13, 2013; PDF

New results on reverse order law for $\{1,2,3\}$- and $\{1,2,4\}$-inverses of bounded operators: Xiaoji Liu, Shuxia Wu and Dragana Cvetković-Ilić; Math. Comp. 82 (2013), 1597-1607; DOI: https://doi.org/10.1090/S0025-5718-2013-02660-9; Published electronically: January 11, 2013; PDF

Heuristic parameter selection based on functional minimization: Optimality and model function approach: Shuai Lu and Peter Mathé; Math. Comp. 82 (2013), 1609-1630; DOI: https://doi.org/10.1090/S0025-5718-2013-02674-9; Published electronically: February 21, 2013; PDF

A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions: Shidong Jiang, Zhi Liang and Jingfang Huang; Math. Comp. 82 (2013), 1631-1645; DOI: https://doi.org/10.1090/S0025-5718-2013-02672-5; Published electronically: February 27, 2013; PDF

Further convergence results on the general iteratively regularized Gauss-Newton methods under the discrepancy principle: Qinian Jin; Math. Comp. 82 (2013), 1647-1665; DOI: https://doi.org/10.1090/S0025-5718-2012-02665-2; Published electronically: December 31, 2012; PDF

A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines: Elaine Cohen, Tom Lyche and Richard F. Riesenfeld; Math. Comp. 82 (2013), 1667-1707; DOI: https://doi.org/10.1090/S0025-5718-2013-02664-6; Published electronically: February 14, 2013; PDF

Erratum to “Formulas and Theorems for the Special Functions of Mathematical Physics” by W. Magnus, F. Oberhettinger, R. P. Soni: Radosław Szmytkowski; Math. Comp. 82 (2013), 1709-1710; DOI: https://doi.org/10.1090/S0025-5718-2013-02671-3; Published electronically: February 19, 2013; PDF

Computing in Picard groups of projective curves over finite fields: Peter Bruin; Math. Comp. 82 (2013), 1711-1756; DOI: https://doi.org/10.1090/S0025-5718-2012-02650-0; Published electronically: September 14, 2012; PDF

Algorithms for the arithmetic of elliptic curves using Iwasawa theory: William Stein and Christian Wuthrich; Math. Comp. 82 (2013), 1757-1792; DOI: https://doi.org/10.1090/S0025-5718-2012-02649-4; Published electronically: September 14, 2012; PDF

A recombination algorithm for the decomposition of multivariate rational functions: Guillaume Chèze; Math. Comp. 82 (2013), 1793-1812; DOI: https://doi.org/10.1090/S0025-5718-2012-02658-5; Published electronically: November 30, 2012; PDF

On the generalized Feng-Rao numbers of numerical semigroups generated by intervals: M. Delgado, J. I. Farrán, P. A. García-Sánchez and D. Llena; Math. Comp. 82 (2013), 1813-1836; DOI: https://doi.org/10.1090/S0025-5718-2013-02673-7; Published electronically: January 28, 2013; PDF

An experimental investigation of the normality of irrational algebraic numbers: Johan Sejr Brinch Nielsen and Jakob Grue Simonsen; Math. Comp. 82 (2013), 1837-1858; DOI: https://doi.org/10.1090/S0025-5718-2013-02675-0; Published electronically: March 20, 2013; PDF