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.

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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Citing articles before they appear in a journal issue

Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow: Genming Bai and Buyang Li;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4019; Published electronically: October 3, 2024; PDF

Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems: Hong-lin Liao and Xuping Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4015; Published electronically: September 27, 2024; PDF

A census of cubic fourfolds over $\mathbb {F}_2$: Asher Auel, Avinash Kulkarni, Jack Petok and Jonah Weinbaum;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4010; Published electronically: September 24, 2024; HTML | PDF

On eigenvalue gaps of integer matrices: Aaron Abrams, Zeph Landau, Jamie Pommersheim and Nikhil Srivastava;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3905; Published electronically: September 12, 2024; HTML | PDF

Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions: Gian Maria Negri Porzio, Vanni Noferini and Leonardo Robol;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4016; Published electronically: September 9, 2024; HTML | PDF

A local discontinuous Galerkin method for the Novikov equation: Qi Tao, Xiang-Ke Chang, Yong Liu and Chi-Wang Shu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4018; Published electronically: September 6, 2024; HTML | PDF

On Darmon’s program for the generalized Fermat equation, II: Nicolas Billerey, Imin Chen, Luis Dieulefait and Nuno Freitas;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4012; Published electronically: September 6, 2024; HTML | PDF

Normal-normal continuous symmetric stresses in mixed finite element elasticity: Carsten Carstensen and Norbert Heuer;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4017; Published electronically: September 4, 2024; HTML | PDF

An approximation theory framework for measure-transport sampling algorithms: Ricardo Baptista, Bamdad Hosseini, Nikola B. Kovachki, Youssef Marzouk and Amir Sagiv;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4013; Published electronically: September 4, 2024; HTML | PDF

Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups: Alexander Rossi Miller and Danny Scheinerman;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3964; Published electronically: August 29, 2024; HTML | PDF

Expected decrease for derivative-free algorithms using random subspaces: Warren Hare, Lindon Roberts and Clément W. Royer;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4011; Published electronically: August 23, 2024; HTML | PDF

Dynamical low-rank approximation for stochastic differential equations: Yoshihito Kazashi, Fabio Nobile and Fabio Zoccolan;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3999; Published electronically: August 22, 2024; HTML | PDF

The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits: Eric Chung and Lina Zhao;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4009; Published electronically: August 16, 2024; HTML | PDF

Sampling-based methods for multi-block optimization problems over transport polytopes: Yukuan Hu, Mengyu Li, Xin Liu and Cheng Meng;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3989; Published electronically: August 15, 2024; HTML | PDF

Analysis of the Taylor-Hood surface finite element method for the surface Stokes equation: Arnold Reusken;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4008; Published electronically: August 15, 2024; HTML | PDF

A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation: Zhizhang Wu, Ivan G. Graham, Dingjiong Ma and Zhiwen Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4007; Published electronically: August 15, 2024; HTML | PDF

Multiplicity of nontrivial zeros of primitive $L$-functions via higher-level correlations: Felipe Gonçalves, David de Laat and Nando Leijenhorst;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4005; Published electronically: August 14, 2024; HTML | PDF

Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model: Peimeng Yin, Eirik Endeve, Cory D. Hauck and Stefan R. Schnake;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3997; Published electronically: August 8, 2024; HTML | PDF

The best ways to slice a Polytope: Marie-Charlotte Brandenburg, Jesús A. De Loera and Chiara Meroni;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4006; Published electronically: August 7, 2024; HTML | PDF

New lower bounds for the Schur-Siegel-Smyth trace problem: Bryce Joseph Orloski, Naser Talebizadeh Sardari and Alexander Smith;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4004; Published electronically: August 6, 2024; HTML | PDF

Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables: Mohamed-Raed Blel, Virginie Ehrlacher and Tony Lelièvre;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3979; Published electronically: August 2, 2024; HTML | PDF

OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws: Manting Peng, Zheng Sun and Kailiang Wu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3998; Published electronically: July 30, 2024; HTML | PDF

Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations: Davide Palitta, Marcel Schweitzer and Valeria Simoncini;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4002; Published electronically: July 25, 2024; HTML | PDF

How to reconstruct a planar map from its branching curve: Eriola Hoxhaj and Josef Schicho;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3988; Published electronically: July 24, 2024; HTML | PDF

Computation of the least primitive root: Kevin J. McGown and Jonathan P. Sorenson;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4003; Published electronically: July 24, 2024; HTML | PDF

Algorithms for computing the permutation resemblance of functions over finite groups: Li-An Chen and Robert S. Coulter;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3996; Published electronically: July 11, 2024; HTML | PDF

Toward optimal exponent pairs: Timothy S. Trudgian and Andrew Yang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3993; Published electronically: July 10, 2024; HTML | PDF

Mixed finite elements for Kirchhoff–Love plate bending: Thomas Führer and Norbert Heuer;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3995; Published electronically: July 9, 2024; HTML | PDF

Polynomial preserving recovery for the finite volume element methods under simplex meshes: Yonghai Li, Peng Yang and Zhimin Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3980; Published electronically: June 27, 2024; HTML | PDF

Virtual element methods for Biot–Kirchhoff poroelasticity: Rekha Khot, David Mora and Ricardo Ruiz-Baier;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3983; Published electronically: June 20, 2024; HTML | PDF

Properties of discrete sliced Wasserstein losses: Eloi Tanguy, Rémi Flamary and Julie Delon;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3994; Published electronically: June 20, 2024; HTML | PDF

Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices: Andreas Frommer, Michele Rinelli and Marcel Schweitzer;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3984; Published electronically: June 17, 2024; HTML | PDF

Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes: Yifan Chen, Houman Owhadi and Florian Schäfer;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3992; Published electronically: June 14, 2024; HTML | PDF

Fractional regularisation of the Cauchy problem for Laplace’s equation and application in some free boundary value problems: Barbara Kaltenbacher and William Rundell;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3974; Published electronically: June 12, 2024; HTML | PDF

Müntz Legendre polynomials: Approximation properties and applications: Tengteng Cui and Chuanju Xu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3987; Published electronically: June 7, 2024; HTML | PDF

Extensible grid sampling for quantile estimation: Jingyu Tan, Zhijian He and Xiaoqun Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3986; Published electronically: June 7, 2024; HTML | PDF

Fourier optimization and Montgomery’s pair correlation conjecture: Emanuel Carneiro, Micah B. Milinovich and Antonio Pedro Ramos;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3990; Published electronically: June 6, 2024; HTML | PDF

Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks: Mathias Dus and Virginie Ehrlacher;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3971; Published electronically: June 6, 2024; HTML | PDF

Schinzel-type bounds for the Mahler measure on lemniscates: Ryan Looney and Igor Pritsker;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3985; Published electronically: June 3, 2024; HTML | PDF

Linear rates of asymptotic regularity for Halpern-type iterations: Horaţiu Cheval and Laurenţiu Leuştean;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3991; Published electronically: May 30, 2024; HTML | PDF

Wavenumber-explicit stability and convergence analysis of $hp$ finite element discretizations of Helmholtz problems in piecewise smooth media: M. Bernkopf, T. Chaumont-Frelet and J. M. Melenk;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3958; Published electronically: May 29, 2024; HTML | PDF

Cellular approximations to the diagonal map: Khaled Alzobydi and Graham Ellis;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3981; Published electronically: May 28, 2024; HTML | PDF

Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux: Aekta Aggarwal and Ganesh Vaidya;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3976; Published electronically: May 13, 2024; HTML | PDF

Error bounds for Gauss–Jacobi quadrature of analytic functions on an ellipse: Hiroshi Sugiura and Takemitsu Hasegawa;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3977; Published electronically: May 13, 2024; HTML | PDF

Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation: Weiran Sun and Li Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3975; Published electronically: May 1, 2024; HTML | PDF

Optimal analysis of finite element methods for the stochastic Stokes equations: Buyang Li, Shu Ma and Weiwei Sun;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/3972; Published electronically: April 29, 2024; PDF

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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | 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; HTML | PDF