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Mathematics of Computation
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:

Stål Olav Aanderaa, Lars Kristiansen and Hans Kristian Ruud
Search for good examples of Hall’s Conjecture
(Primary MSC 11Y50, 65A05)
DOI: https://doi.org/10.1090/mcom/3298
Early View PDF (AMS members only)

Gabriel Acosta, Juan Pablo Borthagaray, Oscar Bruno and Martin Maas
Regularity theory and high order numerical methods for the (1D)-fractional Laplacian
(Primary MSC 65R20, 35B65, 33C45)
DOI: https://doi.org/10.1090/mcom/3276
Early View PDF (AMS members only)

Philippe Angot and Rima Cheaytou
On the error estimates of the vector penalty-projection methods: Second-order scheme
(Primary MSC 76D07, 35Q30, 65M15, 65M12)
DOI: https://doi.org/10.1090/mcom/3309
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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)

Lehel Banjai and Alexander Rieder
Convolution quadrature for the wave equation with a nonlinear impedance boundary condition
(Primary MSC 65M38, 65M12, 65R20)
DOI: https://doi.org/10.1090/mcom/3279
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Weizhu Bao and Chunmei Su
Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime via an asymptotic consistent formulation
(Primary MSC 35Q55, 65M06, 65M12, 65M15)
DOI: https://doi.org/10.1090/mcom/3278
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
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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)

Maria Bras-Amorós and Julio Fernández-González
Computation of numerical semigroups by means of seeds
(Primary MSC 06F05, 20M14)
DOI: https://doi.org/10.1090/mcom/3292
Early View PDF (AMS members only)

Björn Bringmann, Daniel Cremers, Felix Krahmer and Michael Moeller
The homotopy method revisited: Computing solution paths of $ℓ_{1}$-regularized problems
(Primary MSC 49N45, 90C25, 62J07)
DOI: https://doi.org/10.1090/mcom/3287
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)

José Ignacio Burgos Gil, Ricardo Menares and Juan Rivera-Letelier
On the essential minimum of Faltings’ height
(Primary MSC 11F11, 11G50, 14G40, 37P30)
DOI: https://doi.org/10.1090/mcom/3286
Early View PDF (AMS members only)

Erik Burman, Peter Hansbo and Mats G. Larson
A cut finite element method with boundary value correction
(Primary MSC 65M60)
DOI: https://doi.org/10.1090/mcom/3240
Early View PDF (AMS members only)

Jan Büthe
An analytic method for bounding $𝜓(x)$
(Primary MSC 11N05)
DOI: https://doi.org/10.1090/mcom/3264
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Yongyong Cai and Yongjun Yuan
Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime
(Primary MSC 35Q55, 65M06, 65M12, 65M15)
DOI: https://doi.org/10.1090/mcom/3269
Early View PDF (AMS members only)

Yongyong Cai and Jie Shen
Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows
(Primary MSC 35Q30, 65M12, 65M60)
DOI: https://doi.org/10.1090/mcom/3280
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
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Zachary Charles
Generating random factored ideals in number fields
(Primary MSC 11Y16)
DOI: https://doi.org/10.1090/mcom/3283
Early View PDF (AMS members only)

Long Chen, Jun Hu and Xuehai Huang
Fast auxiliary space preconditioner for linear elasticity in mixed form
(Primary MSC 65N55, 65F10, 65N22, 65N30)
DOI: https://doi.org/10.1090/mcom/3285
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)

Isabella Cravero, Gabriella Puppo, Matteo Semplice and Giuseppe Visconti
CWENO: Uniformly accurate reconstructions for balance laws
(Primary MSC 65M08)
DOI: https://doi.org/10.1090/mcom/3273
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Klim Efremenko, J. M. Landsberg, Hal Schenck and Jerzy Weyman
The method of shifted partial derivatives cannot separate the permanent from the determinant
(Primary MSC 68Q17, 13D02, 14L30, 20B30)
DOI: https://doi.org/10.1090/mcom/3284
Early View PDF (AMS members only)

Matt Elsey and Selim Esedoḡlu
Threshold dynamics for anisotropic surface energies
(Primary MSC 65M12)
DOI: https://doi.org/10.1090/mcom/3268
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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
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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
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Martin J. Gander and Soheil Hajian
Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many subdomain case
(Primary MSC 65N22, 65F10, 65F08, 65N55, 65H10)
DOI: https://doi.org/10.1090/mcom/3293
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Loïc Grenié and Giuseppe Molteni
Explicit bounds for generators of the class group
(Primary MSC 11R04)
DOI: https://doi.org/10.1090/mcom/3281
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Johnny Guzmán and Maxim Olshanskii
Inf-sup stability of geometrically unfitted Stokes finite elements
(Primary MSC 65N30, 65N12, 76D07, 65N85)
DOI: https://doi.org/10.1090/mcom/3288
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Yiannis Hadjimichael and David I. Ketcheson
Strong-stability-preserving additive linear multistep methods
(Primary MSC 65L06)
DOI: https://doi.org/10.1090/mcom/3296
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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
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T Hangelbroek, F. J. Narcowich, C Rieger and J. D. Ward
An inverse theorem for compact Lipschitz regions in $\mathbb{R}^{d}$ using localized kernel bases
(Primary MSC 41A17, 41A27, 41A63)
DOI: https://doi.org/10.1090/mcom/3256
Early View PDF (AMS members only)

Ruijian He, Xinlong Feng and Zhangxin Chen
$H^{1}$-superconvergence of a difference finite element method based on the $P_{1}-P_{1}$-conforming element on non-uniform meshes for the 3D Poisson equation
(Primary MSC 35Q30, 65N30)
DOI: https://doi.org/10.1090/mcom/3266
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
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Weizhang Huang and Lennard Kamenski
On the mesh nonsingularity of the moving mesh PDE method
(Primary MSC 65N50, 65K10)
DOI: https://doi.org/10.1090/mcom/3271
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Greg Hurst
Computations of the Mertens function and improved bounds on the Mertens conjecture
(Primary MSC 11Yxx)
DOI: https://doi.org/10.1090/mcom/3275
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Gregor Kemper, Ngo Viet Trung and Nguyen Thi Van Anh
Toward a theory of monomial preorders
(Primary MSC 13P10)
DOI: https://doi.org/10.1090/mcom/3289
Early View PDF (AMS members only)

Janne I. Kokkala and Patric R. J. Östergård
The chromatic number of the square of the 8-cube
(Primary MSC 05C15)
DOI: https://doi.org/10.1090/mcom/3291
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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
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Catherine Kublik and Richard Tsai
An extrapolative approach to integration over hypersurfaces in the level set framework
(Primary MSC 65D30, 65M06)
DOI: https://doi.org/10.1090/mcom/3282
Early View PDF (AMS members only)

Hugo Labrande
Computing Jacobi’s $𝜃$ in quasi-linear time
(Primary MSC 11-04, 14H42, 14K25)
DOI: https://doi.org/10.1090/mcom/3245
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)

Yoonjin Lee and Yoon Kyung Park
A continued fraction of order twleve as a modular function
(Primary MSC 11Y65, 11F03, 11R37, 11R04, 14H55)
DOI: https://doi.org/10.1090/mcom/3259
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)

Hengguang Li
An anisotropic finite element method on polyhedral domains: Interpolation error analysis
(Primary MSC 65N15, 65N30, 65N50)
DOI: https://doi.org/10.1090/mcom/3290
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)

L. Lopez and S. Maset
Time-transformations for the event location in discontinuous ODEs
(Primary MSC 65L05)
DOI: https://doi.org/10.1090/mcom/3305
Early View PDF (AMS members only)

Jianfeng Lu and Zhennan Zhou
Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms
(Primary MSC 65C05, 65M99, 81Q20)
DOI: https://doi.org/10.1090/mcom/3310
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)

Tobias Ramming and Holger Wendland
A kernel-based discretisation method for first order partial differential equations
(Primary MSC 65M12, 65M15, 35F50)
DOI: https://doi.org/10.1090/mcom/3265
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)

Alex Townsend, Marcus Webb and Sheehan Olver
Fast polynomial transforms based on Toeplitz and Hankel matrices
(Primary MSC 65T50, 65D05, 15B05)
DOI: https://doi.org/10.1090/mcom/3277
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)

Christian Wuthrich
Numerical modular symbols for elliptic curves
(Primary MSC 11-04, 11G05, 11F67, 11Y16)
DOI: https://doi.org/10.1090/mcom/3274
Early View PDF (AMS members only)

Binzhou Xia
Cyclotomic difference sets in finite fields
(Primary MSC 05B10, 05B25, 11T22, 11T24, 65H10)
DOI: https://doi.org/10.1090/mcom/3311
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:

Susanne C. Brenner
Frontispiece

Éliane Bécache; Patrick Joly; Valentin Vinoles
On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials

Andrew J. Chan; Diane Maclagan
Gröbner bases over fields with valuations

Benji Fisher; David R. Hayes
“The 2-divisibility of $h_p^+$”

Paul Houston; Thomas P. Wihler
An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

R. B. Lehoucq; F. J. Narcowich; S. T. Rowe; J. D. Ward
A meshless Galerkin method for non-local diffusion using localized kernel bases

Michael E. Zieve
A remark on the paper “$N$-tuples of positive integers with the same sum and the same product” by Zhang and Cai



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