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 80, Number 276
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A nonconforming finite element method for fourth order curl equations in $\mathbb {R}^3$: Bin Zheng, Qiya Hu and Jinchao Xu;; Math. Comp. 80 (2011), 1871-1886; DOI: https://doi.org/10.1090/S0025-5718-2011-02480-4; Published electronically: March 25, 2011; PDF

Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements: Andrea Bonito and Jean-Luc Guermond;; Math. Comp. 80 (2011), 1887-1910; DOI: https://doi.org/10.1090/S0025-5718-2011-02464-6; Published electronically: February 4, 2011; PDF

Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem: Gabriel N. Gatica, Ricardo Oyarzúa and Francisco-Javier Sayas;; Math. Comp. 80 (2011), 1911-1948; DOI: https://doi.org/10.1090/S0025-5718-2011-02466-X; Published electronically: February 14, 2011; PDF

Finite element approximations in a non-Lipschitz domain: Part II: Gabriel Acosta and María G. Armentano;; Math. Comp. 80 (2011), 1949-1978; DOI: https://doi.org/10.1090/S0025-5718-2011-02481-6; Published electronically: April 1, 2011; PDF

$\mathcal {C}^0$ penalty methods for the fully nonlinear Monge-Ampère equation: Susanne C. Brenner, Thirupathi Gudi, Michael Neilan and Li-yeng Sung;; Math. Comp. 80 (2011), 1979-1995; DOI: https://doi.org/10.1090/S0025-5718-2011-02487-7; Published electronically: March 9, 2011; PDF

$hp$-Discontinuous Galerkin methods for the Helmholtz equation with large wave number: Xiaobing Feng and Haijun Wu;; Math. Comp. 80 (2011), 1997-2024; DOI: https://doi.org/10.1090/S0025-5718-2011-02475-0; Published electronically: February 25, 2011; PDF

Flux identification for 1-${\mathbf d}$ scalar conservation laws in the presence of shocks: Carlos Castro and Enrique Zuazua;; Math. Comp. 80 (2011), 2025-2070; DOI: https://doi.org/10.1090/S0025-5718-2011-02465-8; Published electronically: March 22, 2011; PDF

Treatment of incompatible initial and boundary data for parabolic equations in higher dimension: Qingshan Chen, Zhen Qin and Roger Temam;; Math. Comp. 80 (2011), 2071-2096; DOI: https://doi.org/10.1090/S0025-5718-2011-02469-5; Published electronically: April 14, 2011; PDF

On stability issues for IMEX schemes applied to 1D scalar hyperbolic equations with stiff reaction terms: R. Donat, I. Higueras and A. Martínez-Gavara;; Math. Comp. 80 (2011), 2097-2126; DOI: https://doi.org/10.1090/S0025-5718-2011-02463-4; Published electronically: February 4, 2011; PDF

Gerschgorin’s theorem for generalized eigenvalue problems in the Euclidean metric: Yuji Nakatsukasa;; Math. Comp. 80 (2011), 2127-2142; DOI: https://doi.org/10.1090/S0025-5718-2011-02482-8; Published electronically: March 30, 2011; PDF

Multiple zeros of nonlinear systems: Barry H. Dayton, Tien-Yien Li and Zhonggang Zeng;; Math. Comp. 80 (2011), 2143-2168; DOI: https://doi.org/10.1090/S0025-5718-2011-02462-2; Published electronically: February 3, 2011; PDF

A polynomial interpolation process at quasi-Chebyshev nodes with the FFT: Hiroshi Sugiura and Takemitsu Hasegawa;; Math. Comp. 80 (2011), 2169-2184; DOI: https://doi.org/10.1090/S0025-5718-2011-02484-1; Published electronically: March 31, 2011; PDF

Divided differences of implicit functions: Georg Muntingh and Michael Floater;; Math. Comp. 80 (2011), 2185-2195; DOI: https://doi.org/10.1090/S0025-5718-2011-02486-5; Published electronically: April 12, 2011; PDF

An asymptotic form for the Stieltjes constants $\gamma _k(a)$ and for a sum $S_\gamma (n)$ appearing under the Li criterion: Charles Knessl and Mark W. Coffey;; Math. Comp. 80 (2011), 2197-2217; DOI: https://doi.org/10.1090/S0025-5718-2011-02497-X; Published electronically: May 11, 2011; PDF

Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials: A. Bayad;; Math. Comp. 80 (2011), 2219-2221; DOI: https://doi.org/10.1090/S0025-5718-2011-02476-2; Published electronically: March 7, 2011; PDF

Dougall’s bilateral $_2H_2$-series and Ramanujan-like $\pi$-formulae: Wenchang Chu;; Math. Comp. 80 (2011), 2223-2251; DOI: https://doi.org/10.1090/S0025-5718-2011-02474-9; Published electronically: March 2, 2011; PDF

Zero-sum free sets with small sum-set: Gautami Bhowmik, Immanuel Halupczok and Jan-Christoph Schlage-Puchta;; Math. Comp. 80 (2011), 2253-2258; DOI: https://doi.org/10.1090/S0025-5718-2011-02385-9; Published electronically: April 26, 2011; PDF

Improvements to Turing’s method: Timothy Trudgian;; Math. Comp. 80 (2011), 2259-2279; DOI: https://doi.org/10.1090/S0025-5718-2011-02470-1; Published electronically: March 1, 2011; PDF

An improved lower bound for the de Bruijn-Newman constant: Yannick Saouter, Xavier Gourdon and Patrick Demichel;; Math. Comp. 80 (2011), 2281-2287; DOI: https://doi.org/10.1090/S0025-5718-2011-02472-5; Published electronically: March 9, 2011; PDF

Some generalized Euclidean and $2$-stage Euclidean number fields that are not norm-Euclidean: Jean-Paul Cerri;; Math. Comp. 80 (2011), 2289-2298; DOI: https://doi.org/10.1090/S0025-5718-2011-02468-3; Published electronically: February 4, 2011; PDF

Evaluating Whittaker functions and Maass forms for $SL(3,\mathbb {Z})$: Borislav Mezhericher;; Math. Comp. 80 (2011), 2299-2313; DOI: https://doi.org/10.1090/S0025-5718-2011-02499-3; Published electronically: April 13, 2011; PDF

An $\tilde {O}(\log ^2(N))$ time primality test for generalized Cullen numbers: José María Grau and Antonio M. Oller-Marcén;; Math. Comp. 80 (2011), 2315-2323; DOI: https://doi.org/10.1090/S0025-5718-2011-02489-0; Published electronically: March 11, 2011; PDF

The infrastructure of a global field of arbitrary unit rank: Felix Fontein;; Math. Comp. 80 (2011), 2325-2357; DOI: https://doi.org/10.1090/S0025-5718-2011-02490-7; Published electronically: April 26, 2011; PDF

Calculating cyclotomic polynomials: Andrew Arnold and Michael Monagan;; Math. Comp. 80 (2011), 2359-2379; DOI: https://doi.org/10.1090/S0025-5718-2011-02467-1; Published electronically: February 17, 2011; PDF

The impact of $\zeta (s)$ complex zeros on $\pi (x)$ for $x<10^{10^{13}}$: Douglas A. Stoll and Patrick Demichel;; Math. Comp. 80 (2011), 2381-2394; DOI: https://doi.org/10.1090/S0025-5718-2011-02477-4; Published electronically: April 1, 2011; PDF

Families of elliptic curves over quartic number fields with prescribed torsion subgroups: Daeyeol Jeon, Chang Heon Kim and Yoonjin Lee;; Math. Comp. 80 (2011), 2395-2410; DOI: https://doi.org/10.1090/S0025-5718-2011-02493-2; Published electronically: April 29, 2011; PDF

Computing generators of free modules over orders in group algebras II: Werner Bley and Henri Johnston;; Math. Comp. 80 (2011), 2411-2434; DOI: https://doi.org/10.1090/S0025-5718-2011-02488-9; Published electronically: April 11, 2011; PDF

Irregular primes to 163 million: J. P. Buhler and D. Harvey;; Math. Comp. 80 (2011), 2435-2444; DOI: https://doi.org/10.1090/S0025-5718-2011-02461-0; Published electronically: January 20, 2011; PDF

Addenda and corrigenda to “The Minkowski question mark function: explicit series for the dyadic period function and moments”: Giedrius Alkauskas;; Math. Comp. 80 (2011), 2445-2454; DOI: https://doi.org/10.1090/S0025-5718-2011-02479-8; Published electronically: March 18, 2011; PDF