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

An algebraic framework for geometrically continuous splines: Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar and Beihui Yuan;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4068; Published electronically: March 13, 2025; PDF

Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM: Carsten Carstensen and Benedikt Gräßle;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4082; Published electronically: March 13, 2025; PDF

Computing linear relations between polynomial roots: Thierry Combot;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4081; Published electronically: March 11, 2025; PDF

Distributed uncertainty quantification of kernel interpolation on spheres: Shao-Bo Lin, Xingping Sun and Di Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4076; Published electronically: March 11, 2025; HTML | PDF

Adaptive Morley FEM for 2D stationary Navier-Stokes: Carsten Carstensen and Benedikt Gräßle;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4069; Published electronically: March 7, 2025; HTML | PDF

A conforming finite element method for a nonisothermal fluid-membrane interaction: Jessika Camaño, Ricardo Oyarzúa, Miguel Serón and Manuel Solano;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4045; Published electronically: March 6, 2025; HTML | PDF

Möbius-transformed trapezoidal rule: Yuya Suzuki, Nuutti Hyvönen and Toni Karvonen;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4084; Published electronically: March 5, 2025; HTML | PDF

A variational front-tracking method for multiphase flow with triple junctions: Harald Garcke, Robert Nürnberg and Quan Zhao;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4078; Published electronically: March 4, 2025; HTML | PDF

Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation: Xiaolong Zhang and Li-Lian Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4070; Published electronically: March 3, 2025; HTML | PDF

Unified analysis of the semidiscrete discontinuous Galerkin methods for 2-D hyperbolic equations on Cartesian meshes using ${\mathbb P}^k$ elements: optimal error estimates and superconvergence: Waixiang Cao, Chi-Wang Shu and Zhimin Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4083; Published electronically: February 28, 2025; HTML | PDF

On the convergence of the discontinuous Galerkin scheme for Einstein-scalar equations: Yuewen Chen, Chi-Wang Shu and Shing-Tung Yau;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4077; Published electronically: February 28, 2025; PDF

Complexes from complexes: Finite element complexes in three dimensions: Long Chen and Xuehai Huang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4079; Published electronically: February 28, 2025; HTML | PDF

Convergence and stability results for the particle system in the Stein gradient descent method: José A. Carrillo and Jakub Skrzeczkowski;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4000; Published electronically: February 26, 2025; HTML | PDF

Near and full quasi-optimality of finite element approximations of stationary second-order mean field games: Yohance A. P. Osborne and Iain Smears;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4080; Published electronically: February 26, 2025; HTML | PDF

Algorithms for computing norms and characteristic polynomials on general Drinfeld modules: Xavier Caruso and Antoine Leudière;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4052; Published electronically: February 21, 2025; HTML | PDF

Computing the spectrum and pseudospectrum of infinite-volume operators from local patches: Paul Hege, Massimo Moscolari and Stefan Teufel;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4075; Published electronically: February 21, 2025; HTML | PDF

Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics: Moody T. Chu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4056; Published electronically: February 20, 2025; HTML | PDF

Numerical simulation of the Gross–Pitaevskii equation via vortex tracking: Thiago Carvalho Corso, Gaspard Kemlin, Christof Melcher and Benjamin Stamm;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4071; Published electronically: February 19, 2025; HTML | PDF

Algebraic aspects of homogeneous Kuramoto oscillators: Heather A. Harrington, Hal Schenck and Mike Stillman;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4072; Published electronically: February 18, 2025; HTML | PDF

Global-in-time energy stability analysis for a second-order accurate exponential time differencing Runge–Kutta scheme for the phase field crystal equation: Xiao Li, Zhonghua Qiao, Cheng Wang and Nan Zheng;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4067; Published electronically: February 18, 2025; HTML | PDF

Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems: Stefania Bellavia, Greta Malaspina and Benedetta Morini;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4073; Published electronically: February 18, 2025; HTML | PDF

Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems: Qiang Du, James M. Scott and Xiaochuan Tian;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4064; Published electronically: February 14, 2025; HTML | PDF

Theory of shifts, shocks, and the intimate connections to $L^2$-type A posteriori error analysis of numerical schemes for hyperbolic problems: Jan Giesselmann and Sam G. Krupa;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4043; Published electronically: February 13, 2025; HTML | PDF

Efficient computation of non-archimedean theta functions: Marc Masdeu and Xavier Xarles;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4066; Published electronically: February 12, 2025; HTML | PDF

Stability of conforming space–time isogeometric methods for the wave equation: Matteo Ferrari and Sara Fraschini;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4062; Published electronically: February 12, 2025; PDF

Mass lumping and outlier removal strategies for complex geometries in isogeometric analysis: Yannis Voet, Espen Sande and Annalisa Buffa;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4060; Published electronically: February 11, 2025; HTML | PDF

Contractivity of neural ODEs: An eigenvalue optimization problem: Nicola Guglielmi, Arturo De Marinis, Anton Savostianov and Francesco Tudisco;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4059; Published electronically: February 10, 2025; HTML | PDF

QQMR: A structure preserving quaternion quasi-minimal residual method: Tao Li and Qing-Wen Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4074; Published electronically: February 10, 2025; HTML | PDF

A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates: Huoyuan Duan, Ziliang Li and Roger C. E. Tan;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4065; Published electronically: February 6, 2025; HTML | PDF

Randomized Runge-Kutta-Nyström methods for unadjusted Hamiltonian and kinetic Langevin Monte Carlo: Nawaf Bou-Rabee and Tore Selland Kleppe;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4061; Published electronically: February 4, 2025; HTML | PDF

Quadrature rules for splines of high smoothness on uniformly refined triangles: Salah Eddargani, Carla Manni and Hendrik Speleers;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4058; Published electronically: February 3, 2025; HTML | PDF

Bit complexity of polynomial GCD on sparse representation: Qiao-Long Huang and Xiao-Shan Gao;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4054; Published electronically: February 3, 2025; HTML | PDF

Conditional Euclidean distance optimization via relative tangency: Sandra Di Rocco, Lukas Gustafsson and Luca Sodomaco;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4047; Published electronically: January 28, 2025; HTML | PDF

Euler constants from primes in arithmetic progression: Alessandro Languasco and Pieter Moree;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4057; Published electronically: January 28, 2025; HTML | PDF

On the sign changes of $\psi (x)-x$: Maciej Grześkowiak, Jerzy Kaczorowski, Łukasz Pańkowski and Maciej Radziejewski;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4053; Published electronically: January 27, 2025; HTML | PDF

A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate: Hao Luo and Zihang Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4063; Published electronically: January 27, 2025; HTML | PDF

Efficient computation of Wiener-Hopf factorization of Markov-modulated Brownian motion: Changli Liu and Jungong Xue;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4055; Published electronically: January 23, 2025; PDF

A class of discontinuous Galerkin methods for nonlinear variational problems: G. Grekas, K. Koumatos, C. Makridakis and A. Vikelis;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4040; Published electronically: January 23, 2025; HTML | PDF

Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure: Lorenzo Botti, Michele Botti, Daniele A. Di Pietro and Francesco Carlo Massa;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4049; Published electronically: January 22, 2025; HTML | PDF

A unifying theory for metrical results on regular continued fraction convergents and mediants: Karma Dajani, Cor Kraaikamp and Slade Sanderson;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4046; Published electronically: January 22, 2025; HTML | PDF

Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux: Yao Cheng, Xuesong Wang and Martin Stynes;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4048; Published electronically: January 22, 2025; HTML | PDF

A randomized lattice rule without component-by-component construction: Takashi Goda;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4051; Published electronically: January 21, 2025; HTML | PDF

An implicit-explicit Monte Carlo method for semi-linear PDEs driven by $\alpha$-stable Lévy process and its error estimates: Changtao Sheng, Bihao Su and Chenglong Xu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4044; Published electronically: December 31, 2024; HTML | PDF

A strong order $1.5$ boundary preserving discretization scheme for scalar SDEs defined in a domain: Ruishu Liu, Andreas Neuenkirch and Xiaojie Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4014; Published electronically: December 27, 2024; HTML | PDF

Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model: Kun Wang, Enlong Liu and Xinlong Feng;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4041; Published electronically: November 27, 2024; HTML | PDF

Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: Ziang Chen, Jianfeng Lu, Yulong Lu and Xiangxiong Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4032; Published electronically: November 27, 2024; HTML | PDF

Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points: Xiao Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4029; Published electronically: November 20, 2024; HTML | PDF

A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids: Wasilij Barsukow, Raphaël Loubère and Pierre-Henri Maire;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4020; Published electronically: November 20, 2024; HTML | PDF

Finite element approximation of scalar curvature in arbitrary dimension: Evan S. Gawlik and Michael Neunteufel;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4038; Published electronically: November 18, 2024; HTML | PDF

Computing $p$-adic heights on hyperelliptic curves: Stevan Gajović and J. Steffen Müller;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4028; Published electronically: November 15, 2024; HTML | PDF

Stability in phase retrieval: Characterizing condition numbers and the optimal vector set: Yu Xia, Zhiqiang Xu and Zili Xu;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4042; Published electronically: November 14, 2024; HTML | PDF

Computing $\pi (N)$: An elementary approach in $\tilde {O}(\sqrt {N})$ time: Dean Hirsch, Ido Kessler and Uri Mendlovic;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4039; Published electronically: November 14, 2024; HTML | PDF

Algebra and geometry of camera resectioning: Erin Connelly, Timothy Duff and Jessie Loucks-Tavitas;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4030; Published electronically: November 14, 2024; PDF

An efficient algorithm for the $\ell _{p}$ norm based metric nearness problem: Peipei Tang, Bo Jiang and Chengjing Wang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4026; Published electronically: November 8, 2024; PDF

Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries: Georgios Akrivis, Sören Bartels and Christian Palus;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4035; Published electronically: November 8, 2024; HTML | PDF

Isogenies on Kummer Surfaces: Maria Corte-Real Santos and E. Victor Flynn;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4036; Published electronically: November 7, 2024; PDF

Multiscale estimates for the condition number of non-harmonic Fourier matrices: Weilin Li;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4034; Published electronically: November 7, 2024; HTML | PDF

A space-time mixed finite element method for reduced fracture flow models on nonmatching grids: Thi-Thao-Phuong Hoang and Ivan Yotov;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4031; Published electronically: November 4, 2024; PDF

Low-rank quaternion tensor completion for color video inpainting via a novel factorization strategy: Zhenzhi Qin, Zhenyu Ming, Defeng Sun and Liping Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4025; Published electronically: November 1, 2024; HTML | PDF

Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method: Zheng Sun;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4037; Published electronically: October 31, 2024; HTML | PDF

Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem: Christoph Lehrenfeld, Tim van Beeck and Igor Voulis;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4027; Published electronically: October 30, 2024; HTML | PDF

On the computation of lattice sums without translational invariance: Andreas A. Buchheit, Torsten Keßler and Kirill Serkh;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4024; Published electronically: October 28, 2024; HTML | PDF

Filtered Lie-Trotter splitting for the “good” Boussinesq equation: Low regularity error estimates: Lun Ji, Hang Li, Alexander Ostermann and Chunmei Su;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4023; Published electronically: October 28, 2024; HTML | PDF

Optimal error bounds for the two-point flux approximation finite volume scheme: Robert Eymard, Thierry Gallouët and Raphaèle Herbin;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4033; Published electronically: October 18, 2024; HTML | PDF

A convex dual problem for the rational minimax approximation and Lawson’s iteration: Lei-Hong Zhang, Linyi Yang, Wei Hong Yang and Ya-Nan Zhang;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4021; Published electronically: October 10, 2024; HTML | PDF

A unified structure-preserving parametric finite element method for anisotropic surface diffusion: Weizhu Bao and Yifei Li;; Math. Comp.; DOI: https://doi.org/10.1090/mcom/4022; Published electronically: October 9, 2024; HTML | PDF

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; HTML | 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; HTML | 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

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

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

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

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

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

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