Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

Papers accepted for publication in Mathematics of Computation which have not yet been published

Papers are displayed alphabetically by first author listed.

Articles for which AMS Early View is available:

A. S. I. Anema
Elliptic curves maximal over extensions of finite base fields
(Primary MSC 11G20)
DOI: https://doi.org/10.1090/mcom/3342
Early View PDF (AMS members only)

Jared Aurentz, Thomas Mach, Leonardo Robol, Raf Vandebril and David S. Watkins
Fast and backward stable computation of the eigenvalues and eigenvectors of matrix polynomials
(Primary MSC 65F15, 65L07)
DOI: https://doi.org/10.1090/mcom/3338
Early View PDF (AMS members only)

Parsiad Azimzadeh
A fast and stable test to check if a weakly diagonally dominant matrix is a nonsingular $M$-matrix
(Primary MSC 65F30, 15B48, 15B51)
DOI: https://doi.org/10.1090/mcom/3347
Early View PDF (AMS members only)

Eslam Badr, F. Bars and Elisa Lorenzo García
On twists of smooth plane curves
(Primary MSC 11G30, 11D41, 14H37, 14H50, 14H45, 12F12)
DOI: https://doi.org/10.1090/mcom/3317
Early View PDF (AMS members only)

Éliane Bécache, Patrick Joly and Valentin Vinoles
On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials
(Primary MSC 35B35, 35L05, 35L40, 35Q61, 65M12)
DOI: https://doi.org/10.1090/mcom/3307
Early View PDF (AMS members only)

Matthias Beckmann and Armin Iske
Error estimates and convergence rates for filtered back projection
(Primary MSC 41A25)
DOI: https://doi.org/10.1090/mcom/3343
Early View PDF (AMS members only)

Dario A. Bini, Stefano Massei and Beatrice Meini
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes
(Primary MSC 15A16, 65F60, 15B05)
DOI: https://doi.org/10.1090/mcom/3301
Early View PDF (AMS members only)

Andrew R. Booker
Finite connected components of the aliquot graph
(Primary MSC 11A25)
DOI: https://doi.org/10.1090/mcom/3299
Early View PDF (AMS members only)

Philip Brinkmann and Günter M. Ziegler
Small $f$-vectors of $3$-spheres and of $4$-polytopes
(Primary MSC 52B11, 52B55)
DOI: https://doi.org/10.1090/mcom/3300
Early View PDF (AMS members only)

Andrea Cangiani, Emmanuil H. Georgoulis and Younis A. Sabawi
Adaptive discontinuous Galerkin methods for elliptic interface problems
(Primary MSC 65N30)
DOI: https://doi.org/10.1090/mcom/3322
Early View PDF (AMS members only)

Andrew J. Chan and Diane Maclagan
Gröbner bases over fields with valuations
(Primary MSC 13P10)
DOI: https://doi.org/10.1090/mcom/3321
Early View PDF (AMS members only)

Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer and François-Xavier Vialard
Scaling algorithms for unbalanced optimal transport problems
(Primary MSC 90C25)
DOI: https://doi.org/10.1090/mcom/3303
Early View PDF (AMS members only)

L. Beirão da Veiga, D. Mora and G. Rivera
Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates
(Primary MSC 65N30, 65N12, 74K20, 74S05, 65N15)
DOI: https://doi.org/10.1090/mcom/3331
Early View PDF (AMS members only)

Qiang Du, Lili Ju and Jianfang Lu
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems
(Primary MSC 65M60, 65R20, 45A05)
DOI: https://doi.org/10.1090/mcom/3333
Early View PDF (AMS members only)

V. J. Ervin, N. Heuer and J. P. Roop
Regularity of the solution to 1-D fractional order diffusion equations
(Primary MSC 65N30, 35B65, 41A10, 33C45)
DOI: https://doi.org/10.1090/mcom/3295
Early View PDF (AMS members only)

Jens Forsgård, Laura Felicia Matusevich, Nathan Mehlhop and Timo De Wolff
Lopsided approximation of amoebas
(Primary MSC 13P15, 14Q20, 14T05)
DOI: https://doi.org/10.1090/mcom/3323
Early View PDF (AMS members only)

Sebastian Franz and Gunar Matthies
A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin in time
(Primary MSC 65M12, 65M15, 65M60)
DOI: https://doi.org/10.1090/mcom/3326
Early View PDF (AMS members only)

Dietmar Gallistl
Rayleigh-Ritz approximation of the inf-sup constant for the divergence
(Primary MSC 65N12, 65N15, 65N30, 76D07)
DOI: https://doi.org/10.1090/mcom/3327
Early View PDF (AMS members only)

Ludwig Gauckler, Jianfeng Lu, Jeremy L. Marzuola, Frédéric Rousset and Katharina Schratz
Trigonometric integrators for quasilinear wave equations
(Primary MSC 65M15, 65P10, 65L70, 65M20)
DOI: https://doi.org/10.1090/mcom/3339
Early View PDF (AMS members only)

Andrew Gillette and Tyler Kloefkorn
Trimmed serendipity finite element differential forms
(Primary MSC 65N30)
DOI: https://doi.org/10.1090/mcom/3354
Early View PDF (AMS members only)

Johnny Guzman and L. Ridgway Scott
The Scott-Vogelius finite elements revisited
(Primary MSC 65N12, 76D07, 65N85)
DOI: https://doi.org/10.1090/mcom/3346
Early View PDF (AMS members only)

Yiannis Hadjimichael and David I. Ketcheson
Strong-stability-preserving additive linear multistep methods
(Primary MSC 65L06)
DOI: https://doi.org/10.1090/mcom/3296
Early View PDF (AMS members only)

A. Hajdu, L. Hajdu and R. Tijdeman
Finding well approximating lattices for a finite set of points
(Primary MSC 11J13, 11H06)
DOI: https://doi.org/10.1090/mcom/3320
Early View PDF (AMS members only)

David Harvey and Joris van der Hoeven
Faster integer multiplication using plain vanilla FFT primes
(Primary MSC 68W30, 68W40, 11Y16)
DOI: https://doi.org/10.1090/mcom/3328
Early View PDF (AMS members only)

Zhijian He
Quasi-Monte Carlo for discontinuous integrands with singularities along the boundary of the unit cube
(Primary MSC 65D30, 65C05)
DOI: https://doi.org/10.1090/mcom/3324
Early View PDF (AMS members only)

Markus Hittmeir
A babystep-giantstep method for faster deterministic integer factorization
(Primary MSC 11A51)
DOI: https://doi.org/10.1090/mcom/3313
Early View PDF (AMS members only)

Paul Houston and Thomas P. Wihler
An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems
(Primary MSC 65N30)
DOI: https://doi.org/10.1090/mcom/3308
Early View PDF (AMS members only)

Kwang-Seob Kim and John C. Miller
Class numbers of large degree nonabelian number fields
(Primary MSC 11R29)
DOI: https://doi.org/10.1090/mcom/3335
Early View PDF (AMS members only)

Ralf Kornhuber, Daniel Peterseim and Harry Yserentant
An analysis of a class of variational multiscale methods based on subspace decomposition
(Primary MSC 65N12, 65N30, 65N55)
DOI: https://doi.org/10.1090/mcom/3302
Early View PDF (AMS members only)

Christian Kreuzer and Emmanuil H. Georgoulis
Convergence of adaptive discontinuous Galerkin methods
(Primary MSC 65N30, 65N12, 65N50, 65N15)
DOI: https://doi.org/10.1090/mcom/3318
Early View PDF (AMS members only)

Jeonghun J. Lee and Ragnar Winther
Local coderivatives and approximation of Hodge Laplace problems
(Primary MSC 65N30)
DOI: https://doi.org/10.1090/mcom/3315
Early View PDF (AMS members only)

R. B. Lehoucq, F. J. Narcowich, S. T. Rowe and J. D. Ward
A meshless Galerkin method for non-local diffusion using localized kernel bases
(Primary MSC 45P05, 47G10, 65K10, 41A30, 41A63)
DOI: https://doi.org/10.1090/mcom/3294
Early View PDF (AMS members only)

Felipe Lepe, Salim Meddahi, David Mora and Rodolfo Rodríguez
Acoustic vibration problem for dissipative fluids
(Primary MSC 65N25, 65N30, 76M10)
DOI: https://doi.org/10.1090/mcom/3336
Early View PDF (AMS members only)

Buyang Li
Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra
(Primary MSC 35K20, 65M12, 65M60)
DOI: https://doi.org/10.1090/mcom/3316
Early View PDF (AMS members only)

Martin W. Licht
Smoothed projections over weakly Lipschitz domains
(Primary MSC 65N30)
DOI: https://doi.org/10.1090/mcom/3329
Early View PDF (AMS members only)

Martin W. Licht
Smoothed projections and mixed boundary conditions
(Primary MSC 65N30)
DOI: https://doi.org/10.1090/mcom/3330
Early View PDF (AMS members only)

Jared Duker Lichtman and Carl Pomerance
Improved error bounds for the Fermat primality test on random inputs
(Primary MSC 11Y11)
DOI: https://doi.org/10.1090/mcom/3314
Early View PDF (AMS members only)

A. Linke, C. Merdon, M. Neilan and Felix Neumann
Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-problem
(Primary MSC 35J25, 65N30, 76D07)
DOI: https://doi.org/10.1090/mcom/3344
Early View PDF (AMS members only)

Pierre Lissy and Ionel Rovenţa
Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using finite-difference method
(Primary MSC 93B05, 30E05, 65M06)
DOI: https://doi.org/10.1090/mcom/3345
Early View PDF (AMS members only)

Aleksander Malnič and Rok Požar
On split liftings with sectional complements
(Primary MSC 05C50, 05C85, 05E18, 20B40, 20B25, 20K35, 57M10, 68W05)
DOI: https://doi.org/10.1090/mcom/3352
Early View PDF (AMS members only)

Kevin J. McGown, Jonathan W. Sands and Daniel Vallières
Numerical evidence for higher order Stark-type conjectures
(Primary MSC 11R42, 11Y40)
DOI: https://doi.org/10.1090/mcom/3337
Early View PDF (AMS members only)

Pascal Molin and Christian Neurohr
Computing period matrices and the Abel-Jacobi map of superelliptic curves
(Primary MSC 11Y16, 11Y35)
DOI: https://doi.org/10.1090/mcom/3351
Early View PDF (AMS members only)

Igor Moret and Paolo Novati
Krylov subspace methods for functions of fractional differential operators
(Primary MSC 15A16, 47A56, 65F60, 26A33)
DOI: https://doi.org/10.1090/mcom/3332
Early View PDF (AMS members only)

Kassem Mustapha
FEM for time-fractional diffusion equations, novel optimal error analyses
(Primary MSC 65M12, 65M15, 65M60)
DOI: https://doi.org/10.1090/mcom/3304
Early View PDF (AMS members only)

R. H. Nochetto, D. Ntogkas and W. Zhang
Two-scale method for the Monge-Ampère equaton: Convergence to the viscosity solution
(Primary MSC 65N30, 65N12, 65N06, 35J96)
DOI: https://doi.org/10.1090/mcom/3353
Early View PDF (AMS members only)

Paul Pollack and Peter Schorn
Dirichlet’s proof of the three-square theorem: An algorithmic perspective
(Primary MSC 11E25)
DOI: https://doi.org/10.1090/mcom/3349
Early View PDF (AMS members only)

Jonathan W. Sands and Brett A. Tangedal
Computing annihilators of class groups from derivatives of $L$-functions
(Primary MSC 11R29, 11R42, 11Y40)
DOI: https://doi.org/10.1090/mcom/3297
Early View PDF (AMS members only)

Jan Tuitman
Computing zeta functions of generic projective hypersurfaces in larger characteristic
(Primary MSC 11M38, 11Y99)
DOI: https://doi.org/10.1090/mcom/3325
Early View PDF (AMS members only)

Haijin Wang, Yunxian Liu, Qiang Zhang and Chi-Wang Shu
Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow
(Primary MSC 65M12, 65M15, 65M60)
DOI: https://doi.org/10.1090/mcom/3312
Early View PDF (AMS members only)

Siyang Wang, Anna Nissen and Gunilla Kreiss
Convergence of finite difference methods for the wave equation in two space dimensions
(Primary MSC 65M12, 65M06)
DOI: https://doi.org/10.1090/mcom/3319
Early View PDF (AMS members only)

Yanqiu Wang
A nonconforming Crouzeix-Raviart type finite element on polygonal meshes
(Primary MSC 65N30)
DOI: https://doi.org/10.1090/mcom/3334
Early View PDF (AMS members only)

Yang Zhou and Xiaojun Chen
Spherical $t_{𝜀}$ designs for approximations on the sphere
(Primary MSC 65D30, 41A10, 65G30)
DOI: https://doi.org/10.1090/mcom/3306
Early View PDF (AMS members only)

Articles accepted prior to AMS Early View implementation:

Dilum De Silva; Michael J. Mossinghoff; Vincent Pigno; Christopher Pinner
The Lind-Lehmer constant for certain $p$-groups

Laura Faber; Habiba Kadiri
Corrigendum to “New bounds for $\psi (x)$”

Kaibo Hu; Jinchao Xu
Structure-preserving finite element methods for stationary MHD models

Zev Klagsbrun; Travis Sherman; James Weigandt
The Elkies curve has rank 28 subject only to GRH

Marko Lange; Siegfried M. Rump
Sharp estimates for perturbation errors in summations

American Mathematical Society