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 79, Number 271
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Sharply local pointwise a posteriori error estimates for parabolic problems: Alan Demlow and Charalambos Makridakis;; Math. Comp. 79 (2010), 1233-1262; DOI: https://doi.org/10.1090/S0025-5718-10-02346-X; Published electronically: March 1, 2010; PDF

Numerical analysis of a finite element scheme for the approximation of harmonic maps into surfaces: Sören Bartels;; Math. Comp. 79 (2010), 1263-1301; DOI: https://doi.org/10.1090/S0025-5718-09-02300-X; Published electronically: September 16, 2009; PDF

Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations: Daniele A. Di Pietro and Alexandre Ern;; Math. Comp. 79 (2010), 1303-1330; DOI: https://doi.org/10.1090/S0025-5718-10-02333-1; Published electronically: March 3, 2010; PDF

A new elasticity element made for enforcing weak stress symmetry: Bernardo Cockburn, Jayadeep Gopalakrishnan and Johnny Guzmán;; Math. Comp. 79 (2010), 1331-1349; DOI: https://doi.org/10.1090/S0025-5718-10-02343-4; Published electronically: March 12, 2010; PDF

A projection-based error analysis of HDG methods: Bernardo Cockburn, Jayadeep Gopalakrishnan and Francisco-Javier Sayas;; Math. Comp. 79 (2010), 1351-1367; DOI: https://doi.org/10.1090/S0025-5718-10-02334-3; Published electronically: March 18, 2010; HTML | PDF

A direct coupling of local discontinuous Galerkin and boundary element methods: Gabriel N. Gatica, Norbert Heuer and Francisco–Javier Sayas;; Math. Comp. 79 (2010), 1369-1394; DOI: https://doi.org/10.1090/S0025-5718-10-02309-4; Published electronically: January 8, 2010; PDF

$L^1$-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1: Olivier Bokanowski, Nicolas Forcadel and Hasnaa Zidani;; Math. Comp. 79 (2010), 1395-1426; DOI: https://doi.org/10.1090/S0025-5718-10-02311-2; Published electronically: January 13, 2010; PDF

On some fast well-balanced first order solvers for nonconservative systems: Manuel J. Castro, Alberto Pardo, Carlos Parés and E. F. Toro;; Math. Comp. 79 (2010), 1427-1472; DOI: https://doi.org/10.1090/S0025-5718-09-02317-5; Published electronically: November 23, 2009; PDF

Error bound between monotone difference schemes and their modified equations: Zhen-Huan Teng;; Math. Comp. 79 (2010), 1473-1491; DOI: https://doi.org/10.1090/S0025-5718-09-02306-0; Published electronically: September 14, 2009; PDF

Entropy-satisfying relaxation method with large time-steps for Euler IBVPs: Frédéric Coquel, Quang Long Nguyen, Marie Postel and Quang Huy Tran;; Math. Comp. 79 (2010), 1493-1533; DOI: https://doi.org/10.1090/S0025-5718-10-02339-2; Published electronically: February 23, 2010; PDF

Well-posedness and numerical analysis of a one-dimensional non-local transport equation modelling dislocations dynamics: A. Ghorbel and R. Monneau;; Math. Comp. 79 (2010), 1535-1564; DOI: https://doi.org/10.1090/S0025-5718-10-02326-4; Published electronically: March 23, 2010; PDF

Global smooth solution curves using rigorous branch following: Jan Bouwe van den Berg, Jean-Philippe Lessard and Konstantin Mischaikow;; Math. Comp. 79 (2010), 1565-1584; DOI: https://doi.org/10.1090/S0025-5718-10-02325-2; Published electronically: March 11, 2010; PDF

Grassmannian spectral shooting: Veerle Ledoux, Simon J. A. Malham and Vera Thümmler;; Math. Comp. 79 (2010), 1585-1619; DOI: https://doi.org/10.1090/S0025-5718-10-02323-9; Published electronically: January 25, 2010; PDF

Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle: Huiyuan Li and Jie Shen;; Math. Comp. 79 (2010), 1621-1646; DOI: https://doi.org/10.1090/S0025-5718-09-02308-4; Published electronically: September 17, 2009; PDF

$L^p$ Bernstein estimates and approximation by spherical basis functions: H. N. Mhaskar, F. J. Narcowich, J. Prestin and J. D. Ward;; Math. Comp. 79 (2010), 1647-1679; DOI: https://doi.org/10.1090/S0025-5718-09-02322-9; Published electronically: December 2, 2009; PDF

Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences: Avram Sidi;; Math. Comp. 79 (2010), 1681-1695; DOI: https://doi.org/10.1090/S0025-5718-09-02318-7; Published electronically: November 30, 2009; PDF

Some completely monotonic functions of positive order: Stamatis Koumandos and Martin Lamprecht;; Math. Comp. 79 (2010), 1697-1707; DOI: https://doi.org/10.1090/S0025-5718-09-02313-8; Published electronically: November 9, 2009; PDF

On the evaluation of Matsubara sums: Olivier Espinosa;; Math. Comp. 79 (2010), 1709-1725; DOI: https://doi.org/10.1090/S0025-5718-09-02307-2; Published electronically: November 19, 2009; PDF

Portrait of the four regular super-exponentials to base sqrt(2): Dmitrii Kouznetsov and Henryk Trappmann;; Math. Comp. 79 (2010), 1727-1756; DOI: https://doi.org/10.1090/S0025-5718-10-02342-2; Published electronically: February 12, 2010; PDF

Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements: Habib Ammari, Elena Beretta, Elisa Francini, Hyeonbae Kang and Mikyoung Lim;; Math. Comp. 79 (2010), 1757-1777; DOI: https://doi.org/10.1090/S0025-5718-10-02344-6; Published electronically: January 15, 2010; PDF

Gaussian Mersenne and Eisenstein Mersenne primes: Pedro Berrizbeitia and Boris Iskra;; Math. Comp. 79 (2010), 1779-1791; DOI: https://doi.org/10.1090/S0025-5718-10-02324-0; Published electronically: March 3, 2010; PDF

The period of the Bell numbers modulo a prime: Peter L. Montgomery, Sangil Nahm and Samuel S. Wagstaff, Jr.;; Math. Comp. 79 (2010), 1793-1800; DOI: https://doi.org/10.1090/S0025-5718-10-02340-9; Published electronically: March 1, 2010; PDF

Computing matrix representations: Vahid Dabbaghian and John D. Dixon;; Math. Comp. 79 (2010), 1801-1810; DOI: https://doi.org/10.1090/S0025-5718-10-02330-6; Published electronically: January 12, 2010; PDF

Cohomology of congruence subgroups of $\mathrm {SL}_4(\mathbb {Z})$. III: Avner Ash, Paul E. Gunnells and Mark McConnell;; Math. Comp. 79 (2010), 1811-1831; DOI: https://doi.org/10.1090/S0025-5718-10-02331-8; Published electronically: January 20, 2010; PDF

$p^k$-torsion of genus two curves over $\mathbb {F}_{p^m}$: Michael E. Zieve;; Math. Comp. 79 (2010), 1833-1838; DOI: https://doi.org/10.1090/S0025-5718-10-02305-7; Published electronically: January 14, 2010; PDF

Advances in the theory of box integrals: D. H. Bailey, J. M. Borwein and R. E. Crandall;; Math. Comp. 79 (2010), 1839-1866; DOI: https://doi.org/10.1090/S0025-5718-10-02338-0; Published electronically: February 9, 2010; PDF

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

Introduction to derivative-free optimization, by Andrew R. Conn, Katya Scheinberg and Luis N. Vicente.: Reviewer: J. L. Nazareth; Review information PDF; Math. Comp. 79 (2010), 1867-1869