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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

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Articles are published on the AMS website individually soon after proof is returned from authors and before appearing in an issue (most recently published article listed first).

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Towards a classification of isolated $j$-invariants: Abbey Bourdon, Sachi Hashimoto, Timo Keller, Zev Klagsbrun, David Lowry-Duda, Travis Morrison, Filip Najman and Himanshu Shukla; with an appendix by Maarten Derickx and Mark van Hoeij; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3956; Published electronically: April 25, 2024; PDF

Adaptive fast multiplication of $\mathcal {H}^2$-matrices: Steffen Börm;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3978; Published electronically: April 22, 2024; PDF

Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions: Hang Li and Chunmei Su;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3973; Published electronically: April 22, 2024; PDF

Super-polynomial accuracy of multidimensional randomized nets using the median-of-means: Zexin Pan and Art B. Owen;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3880; Published electronically: April 18, 2024; PDF

Discrete tensor product BGG sequences: Splines and finite elements: Francesca Bonizzoni, Kaibo Hu, Guido Kanschat and Duygu Sap;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3969; Published electronically: April 17, 2024; PDF

Stochastic nested primal-dual method for nonconvex constrained composition optimization: Lingzi Jin and Xiao Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3965; Published electronically: April 10, 2024; PDF

Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations: Constantin Carle and Marlis Hochbruck;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3952; Published electronically: April 1, 2024; PDF

Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation: Jingwei Hu and Ruiwen Shu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3967; Published electronically: March 28, 2024; PDF

Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport: Gero Friesecke and Maximilian Penka;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3968; Published electronically: March 26, 2024; PDF

GMRES, pseudospectra, and Crouzeix’s conjecture for shifted and scaled Ginibre matrices: Tyler Chen, Anne Greenbaum and Thomas Trogdon;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3963; Published electronically: March 25, 2024; PDF

On discrete ground states of rotating Bose–Einstein condensates: Patrick Henning and Mahima Yadav;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3962; Published electronically: March 25, 2024; PDF

Effective homology and periods of complex projective hypersurfaces: Pierre Lairez, Eric Pichon-Pharabod and Pierre Vanhove;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3947; Published electronically: March 20, 2024; PDF

Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms: T. Hangelbroek and C. Rieger;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3960; Published electronically: March 20, 2024; PDF

A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation: Long Chen and Xuehai Huang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3957; Published electronically: March 20, 2024; PDF

Generalized Pohst inequality and small regulators: Francesco Battistoni and Giuseppe Molteni;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3954; Published electronically: March 20, 2024; PDF

Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems: Fengyu Fu, Chi-Wang Shu, Qi Tao and Boying Wu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3955; Published electronically: March 14, 2024; PDF

CM points, class numbers, and the Mahler measures of $x^3+y^3+1-kxy$: Zhengyu Tao and Xuejun Guo;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3961; Published electronically: March 12, 2024; PDF

Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces: Francesco Bonaldi, Jérôme Droniou and Roland Masson;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3949; Published electronically: March 7, 2024; PDF

From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows: Thomas O. Gallouët, Andrea Natale and Gabriele Todeschi;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3951; Published electronically: February 29, 2024; PDF

Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows: Zhaohui Fu, Tao Tang and Jiang Yang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3950; Published electronically: February 28, 2024; PDF

Convergence analysis of Laguerre approximations for analytic functions: Haiyong Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3942; Published electronically: February 20, 2024; PDF

Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method: Wei-Wei Xu and Zheng-Jian Bai;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3936; Published electronically: February 16, 2024; PDF

Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping: Katherine Baker, Lehel Banjai and Mariya Ptashnyk;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3945; Published electronically: February 14, 2024; PDF

Construction of diagonal quintic threefolds with infinitely many rational points: Maciej Ulas;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3953; Published electronically: February 14, 2024; PDF

On median filters for motion by mean curvature: Selim Esedoḡlu, Jiajia Guo and David Li;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3940; Published electronically: February 13, 2024; PDF

High-order splitting finite element methods for the subdiffusion equation with limited smoothing property: Buyang Li, Zongze Yang and Zhi Zhou;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3944; Published electronically: February 7, 2024; PDF

Convergence, finiteness and periodicity of several new algorithms of $p$-adic continued fractions: Zhaonan Wang and Yingpu Deng;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3948; Published electronically: February 5, 2024; PDF

Few hamiltonian cycles in graphs with one or two vertex degrees: Jan Goedgebeur, Jorik Jooken, On-Hei Solomon Lo, Ben Seamone and Carol T. Zamfirescu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3943; Published electronically: February 2, 2024; PDF

Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units: Gurmeet K. Bakshi, Jyoti Garg and Gabriela Olteanu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3937; Published electronically: February 1, 2024; PDF

Identifying the source term in the potential equation with weighted sparsity regularization: Ole Løseth Elvetun and Bjørn Fredrik Nielsen;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3941; Published electronically: February 1, 2024; PDF

Generalized Korn’s inequalities for piecewise $H^1$ and $H^2$ vector fields: David M. Williams and Qingguo Hong;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3935; Published electronically: January 31, 2024; PDF

Explicit calculations for Sono’s multidimensional sieve of $E_2$-numbers: Daniel A. Goldston, Apoorva Panidapu and Jordan Schettler;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3938; Published electronically: January 23, 2024; PDF

Minimization of hypersurfaces: Andreas-Stephan Elsenhans and Michael Stoll;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3924; Published electronically: January 16, 2024; PDF

Locally unitarily invariantizable NEPv and convergence analysis of SCF: Ding Lu and Ren-Cang Li;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3925; Published electronically: January 9, 2024; PDF

Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs: David Bolin, Mihály Kovács, Vivek Kumar and Alexandre B. Simas;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3929; Published electronically: December 27, 2023; PDF

An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces: Martin Ehler and Karlheinz Gröchenig;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3930; Published electronically: December 20, 2023; PDF

The reciprocal sums of pseudoprimes and Carmichael numbers: Paul Kinlaw;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3933; Published electronically: December 18, 2023; PDF

Error analysis for deep neural network approximations of parametric hyperbolic conservation laws: T. De Ryck and S. Mishra;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3934; Published electronically: December 15, 2023; PDF

An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces: Maxim A. Olshanskii, Arnold Reusken and Paul Schwering;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3931; Published electronically: December 11, 2023; HTML | PDF

Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations: Yuan Chen and Yulong Xing;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3927; Published electronically: December 6, 2023; HTML | PDF

Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation: Jialin Hong, Diancong Jin and Derui Sheng;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3928; Published electronically: November 28, 2023; HTML | PDF

Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential: Yunzhuo Guo, Cheng Wang, Steven M. Wise and Zhengru Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3916; Published electronically: November 20, 2023; HTML | PDF

Uniform preconditioners for high order finite element approximations of planar linear elasticity: Mark Ainsworth and Charles Parker;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3926; Published electronically: November 17, 2023; HTML | PDF

Learning particle swarming models from data with Gaussian processes: Jinchao Feng, Charles Kulick, Yunxiang Ren and Sui Tang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3915; Published electronically: November 15, 2023; HTML | PDF

Optimal transportation for electrical impedance tomography: Gang Bao and Yixuan Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3919; Published electronically: November 13, 2023; HTML | PDF

Ideal solutions in the Prouhet–Tarry–Escott problem: Don Coppersmith, Michael J. Mossinghoff, Danny Scheinerman and Jeffrey M. VanderKam;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3917; Published electronically: November 6, 2023; HTML | PDF