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 269
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An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures: Gang Bao, Peijun Li and Haijun Wu;; Math. Comp. 79 (2010), 1-34; DOI: https://doi.org/10.1090/S0025-5718-09-02257-1; Published electronically: May 7, 2009; PDF

Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D: Ziqing Xie and Zhimin Zhang;; Math. Comp. 79 (2010), 35-45; DOI: https://doi.org/10.1090/S0025-5718-09-02297-2; Published electronically: August 3, 2009; PDF

The lifting of polynomial traces revisited: Christine Bernardi, Monique Dauge and Yvon Maday;; Math. Comp. 79 (2010), 47-69; DOI: https://doi.org/10.1090/S0025-5718-09-02259-5; Published electronically: July 24, 2009; PDF

Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws: G. M. Coclite, S. Mishra and N. H. Risebro;; Math. Comp. 79 (2010), 71-94; DOI: https://doi.org/10.1090/S0025-5718-09-02251-0; Published electronically: July 10, 2009; PDF

A numerical method for fractal conservation laws: Jérôme Droniou;; Math. Comp. 79 (2010), 95-124; DOI: https://doi.org/10.1090/S0025-5718-09-02293-5; Published electronically: July 29, 2009; PDF

Convergence of approximation schemes for nonlocal front propagation equations: Aurélien Monteillet;; Math. Comp. 79 (2010), 125-146; DOI: https://doi.org/10.1090/S0025-5718-09-02270-4; Published electronically: June 8, 2009; PDF

Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel: Yanping Chen and Tao Tang;; Math. Comp. 79 (2010), 147-167; DOI: https://doi.org/10.1090/S0025-5718-09-02269-8; Published electronically: June 16, 2009; PDF

On the convergence of Hill’s method: Christopher W. Curtis and Bernard Deconinck;; Math. Comp. 79 (2010), 169-187; DOI: https://doi.org/10.1090/S0025-5718-09-02277-7; Published electronically: July 6, 2009; PDF

Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions: Jonas Haehnle and Andreas Prohl;; Math. Comp. 79 (2010), 189-208; DOI: https://doi.org/10.1090/S0025-5718-09-02231-5; Published electronically: July 1, 2009; PDF

High order discretization schemes for the CIR process: Application to affine term structure and Heston models: Aurélien Alfonsi;; Math. Comp. 79 (2010), 209-237; DOI: https://doi.org/10.1090/S0025-5718-09-02252-2; Published electronically: June 15, 2009; PDF

Dynamical systems method for solving nonlinear equations with monotone operators: N. S. Hoang and A. G. Ramm;; Math. Comp. 79 (2010), 239-258; DOI: https://doi.org/10.1090/S0025-5718-09-02260-1; Published electronically: April 2, 2009; PDF

Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization: Xiaoming Wang;; Math. Comp. 79 (2010), 259-280; DOI: https://doi.org/10.1090/S0025-5718-09-02256-X; Published electronically: April 20, 2009; PDF

Collocation methods for index 1 DAEs with a singularity of the first kind: Othmar Koch, Roswitha März, Dirk Praetorius and Ewa Weinmüller;; Math. Comp. 79 (2010), 281-304; DOI: https://doi.org/10.1090/S0025-5718-09-02267-4; Published electronically: June 25, 2009; PDF

On interpolation by Planar cubic $G^2$ pythagorean-hodograph spline curves: Gašper Jaklič, Jernej Kozak, Marjeta Krajnc, Vito Vitrih and Emil Žagar;; Math. Comp. 79 (2010), 305-326; DOI: https://doi.org/10.1090/S0025-5718-09-02298-4; Published electronically: July 29, 2009; PDF

A Lagrange-type projector on the real line: G. Mastroianni and I. Notarangelo;; Math. Comp. 79 (2010), 327-352; DOI: https://doi.org/10.1090/S0025-5718-09-02278-9; Published electronically: July 7, 2009; PDF

The norm estimates for the $q$-Bernstein operator in the case $q>1$: Heping Wang and Sofiya Ostrovska;; Math. Comp. 79 (2010), 353-363; DOI: https://doi.org/10.1090/S0025-5718-09-02273-X; Published electronically: July 2, 2009; PDF

Computation of conformal representations of compact Riemann surfaces: Guillermo López Lagomasino, Domingo Pestana, José M. Rodríguez and Dmitry Yakubovich;; Math. Comp. 79 (2010), 365-381; DOI: https://doi.org/10.1090/S0025-5718-09-02265-0; Published electronically: June 4, 2009; PDF

The Minkowski question mark function: explicit series for the dyadic period function and moments: Giedrius Alkauskas;; Math. Comp. 79 (2010), 383-418; DOI: https://doi.org/10.1090/S0025-5718-09-02263-7; Published electronically: May 12, 2009; PDF

Sharpness in rates of convergence for the symmetric Lanczos method: Ren-Cang Li;; Math. Comp. 79 (2010), 419-435; DOI: https://doi.org/10.1090/S0025-5718-09-02258-3; Published electronically: May 14, 2009; PDF

An effective matrix geometric mean satisfying the Ando–Li–Mathias properties: Dario A. Bini, Beatrice Meini and Federico Poloni;; Math. Comp. 79 (2010), 437-452; DOI: https://doi.org/10.1090/S0025-5718-09-02261-3; Published electronically: June 19, 2009; PDF

Optimizing the double description method for normal surface enumeration: Benjamin A. Burton;; Math. Comp. 79 (2010), 453-484; DOI: https://doi.org/10.1090/S0025-5718-09-02282-0; Published electronically: July 14, 2009; PDF

Midpoint criteria for solving Pell’s equation using the nearest square continued fraction: Keith Matthews, John Robertson and Jim White;; Math. Comp. 79 (2010), 485-499; DOI: https://doi.org/10.1090/S0025-5718-09-02286-8; Published electronically: July 21, 2009; PDF

On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators: Alina Ostafe and Igor E. Shparlinski;; Math. Comp. 79 (2010), 501-511; DOI: https://doi.org/10.1090/S0025-5718-09-02271-6; Published electronically: July 7, 2009; PDF

A deterministic version of Pollard’s $p-1$ algorithm: Bartosz Źrałek;; Math. Comp. 79 (2010), 513-533; DOI: https://doi.org/10.1090/S0025-5718-09-02262-5; Published electronically: May 6, 2009; PDF

Solving Fermat-type equations $x^5+y^5=dz^p$: Nicolas Billerey and Luis V. Dieulefait;; Math. Comp. 79 (2010), 535-544; DOI: https://doi.org/10.1090/S0025-5718-09-02294-7; Published electronically: July 22, 2009; PDF

Choosing the correct elliptic curve in the CM method: K. Rubin and A. Silverberg;; Math. Comp. 79 (2010), 545-561; DOI: https://doi.org/10.1090/S0025-5718-09-02266-2; Published electronically: July 13, 2009; PDF

Tate-Shafarevich groups and $K3$ surfaces: Patrick Corn;; Math. Comp. 79 (2010), 563-581; DOI: https://doi.org/10.1090/S0025-5718-09-02264-9; Published electronically: June 5, 2009; PDF

The number field sieve for integers of low weight: Oliver Schirokauer;; Math. Comp. 79 (2010), 583-602; DOI: https://doi.org/10.1090/S0025-5718-09-02198-X; Published electronically: July 27, 2009; PDF

On equal sums of ninth powers: A. Bremner and Jean-Joël Delorme;; Math. Comp. 79 (2010), 603-612; DOI: https://doi.org/10.1090/S0025-5718-09-02288-1; Published electronically: July 8, 2009; PDF

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

Numerical methods for evolutionary differential equations, by Uri M. Ascher.: Reviewer: Ernst Hairer; Review information PDF; Math. Comp. 79 (2010), 613-614

Introduction to interval analysis, edited by Ramon E. Moore, R. Baker Kearfott and Michael J. Cloud.: Reviewer: I. P. Gavrilyuk; Review information PDF; Math. Comp. 79 (2010), 615-616

Lagrange multiplier approach to variational problems and applications, edited by Kazufumi Ito and Karl Kunisch.: Reviewer: I. P. Gavrilyuk; Review information PDF; Math. Comp. 79 (2010), 617-618