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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:

S. D. Adhikari, L. Boza, S. Eliahou, J. M. Marín, M. P. Revuelta and M. I. Sanz
On the $n$-color Rado number for the equation $x_{1}+x_{2}+…+x_{k}+c =x_{k+1}$
(Primary MSC 05A17, 11P83, 05C55, 05D10, 05-04)
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Nina Aguillon, Frédéric Lagoutière and Nicolas Seguin
Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle
(Primary MSC 35R37, 65M12, 35L65)
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Georgios Akrivis and Emmanuil Katsoprinakis
Backward difference formulae: New multipliers and stability properties for parabolic equations
(Primary MSC 65M12, 65M60)
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Georgios Akrivis
Stability properties of implicit-explicit multistep methods for a class of nonlinear parabolic equations
(Primary MSC 65M12, 65M60)
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Vladica Andrejić and Milos Tatarevic
Searching for a counterexample of Kurepa’s conjecture
(Primary MSC 11B83)
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D. C. Antonopoulos and V. A. Dougalis
Error estimates for the standard Galerkin-finite element method for the shallow water equations
(Primary MSC 65M60, 35L60)
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Shi Bai, Cyril Bouvier, Alexander Kruppa and Paul Zimmermann
Better polynomials for GNFS
(Primary MSC 11Y05, 11Y16)
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William D. Banks and Igor E. Shparlinski
On Gauss sums and the evaluation of Stechkin’s constant
(Primary MSC 11-XX)
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Caroline Bauzet, Julia Charrier and Thierry Gallouët
Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation
(Primary MSC 65F15, 65F50, 15A18, 15A22)
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Christophe Berthon and Christophe Chalons
A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations
(Primary MSC 65M60, 65M12, 76M12, 35L65)
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Olivier Bokanowski, Yingda Cheng and Chi-Wang Shu
Convergence of discontinuous Galerkin schemes for front propagation with obstacles
(Primary MSC 65-XX)
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C. F. Bracciali, J. H. McCabe, T. E. Pérez and A. Sri Ranga
A class of orthogonal functions given by a three term recurrence formula
(Primary MSC 42C05, 33C47)
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Reinier Bröker and Jeffrey Ezra Hoffstein
Fourier coefficients of sextic theta series
(Primary MSC 11Y35)
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Jan Hendrik Bruinier, Stephan Ehlen and Eberhard Freitag
Lattices with many Borcherds products
(Primary MSC 11F12, 11E20, 11-04, 14C22)
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Ioan Florin Bugariu, Sorin Micu and Ionel Rovenţa
Approximation of the controls for the beam equation with vanishing viscosity
(Primary MSC 93B05, 58J45, 65N06, 30E05)
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Erik Burman
A stabilized nonconforming finite element method for the elliptic Cauchy problem
(Primary MSC 65N12, 65N15, 65N20, 65N21, 65N30)
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Jan Büthe
Estimating $𝜋(x)$ and related functions under partial RH assumptions
(Primary MSC 11N05)
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Martin Campos Pinto and Eric Sonnendrücker
Gauss-compatible Galerkin schemes for time-dependent Maxwell equations
(Primary MSC 65M60, 35Q61, 65M12)
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Hao Chen
Computing the Mazur and Swinnerton-Dyer critical subgroup of elliptic curves
(Primary MSC 11G05)
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Jingrun Chen and Jianfeng Lu
Analysis of the divide-and-conquer method for electronic structure calculations
(Primary MSC 15A18, 35P99, 65N25)
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Sheng Chen, Jie Shen and Li-Lian Wang
Generalized Jacobi functions and their applications to fractional differential equations
(Primary MSC 65N35, 65E05, 65M70, 41A05, 41A10, 41A25)
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Wenbin Chen, Yuan Liu, Cheng Wang and Steven M. Wise
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
(Primary MSC 35K55, 65M06, 65M12, 35K55, 76D05)
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Yanlai Chen, Julio Bernardo Cockburn and Bo Dong
Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension
(Primary MSC 65M60, 65N30)
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Yingda Cheng, Ching-Shan Chou, Fengyan Li and Yulong Xing
$L^{2}$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations
(Primary MSC 35L05, 35L45, 65M12, 65M60)
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Julio Bernardo Cockburn and Alan Demlow
Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces
(Primary MSC 58J32, 65N15, 65N30)
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Katy Craig and Andrea L. Bertozzi
A blob method for the aggregation equation
(Primary MSC 35Q35, 35Q82, 65M15, 82C22)
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Froilán M. Dopico, Javier González, Daniel Kressner and Valeria Simoncini
Projection methods for large T-Sylvester equations
(Primary MSC 65F10, 65F30, 15A06)
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Loïc Grenié and Giuseppe Molteni
Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH
(Primary MSC 11R42)
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Loïc Grenié and Giuseppe Molteni
Explicit versions of smoothed prime ideals theorems under GRH
(Primary MSC 11R42)
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Johnny Guzman, Manuel A. Sánchez and Marcus Sarkis
On the accuracy of finite element approximations to a class of interface problems
(Primary MSC 65N15, 65N30, 65N15)
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Ronald D. Haynes and Felix Kwok
Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle
(Primary MSC 65M55, 65N22, 65Y05, 65M50, 65N50)
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Ghaith A. Hiary
A deterministic algorithm for integer factorization
(Primary MSC 11Y05)
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Evelyne Hubert and George Labahn
Computation of invariants of finite Abelian groups
(Primary MSC 13A50, 15A72)
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E. Jespers, A. Kiefer and Á. del Rio
Presentations of groups acting discontinuously on direct products of hyperbolic spaces
(Primary MSC 20G20, 22E40, 16S34, 16U60)
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Thorsten Kleinjung
Quadratic sieving
(Primary MSC 11Y05, 11Y16)
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Pierre Lairez
Computing periods of rational integrals
(Primary MSC 68W30)
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Kalle Leppälä
Explicit lower bounds for linear forms
(Primary MSC 11J25, 11J82)
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Reynald Lercier, Christophe Ritzenthaler and Jeroen Sijsling
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group
(Primary MSC 14Q05, 13A50, 14H10, 14H25, 14H37)
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Hengguang Li
The $W^{1}_{p}$ stability of the Ritz projection on graded meshes
(Primary MSC 65N30)
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A. S. Mosunov and M. J. Jacobson, Jr.
Unconditional class group tabulation of imaginary quadratic fields to $|Δ| < 2^{40}$
(Primary MSC 11R29)
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Yuji Nakatsukasa and Vanni Noferini
On the stability of computing polynomial roots via confederate linearizations
(Primary MSC 65H04)
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Francis J. Narcowich, Stephen T. Rowe and Joseph D. Ward
A novel Galerkin method for solving PDEs on the sphere using highly localized bases
(Primary MSC 65M60, 65M12, 41A30, 41A55)
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Hoang-Long Ngo and Dai Taguchi
Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients
(Primary MSC 60H35, 41A25, 60H10, 65C30)
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S. Nicaise and I. Merabet
A mixed discontinuous finite element method for folded Naghdi’s shell in Cartesian coordinates
(Primary MSC 65N12, 65N15, 65N30)
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Cormac O’Sullivan
Zeros of the dilogarithm
(Primary MSC 33B30, 30C15)
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David J. Platt
Numerical computations concerning the GRH
(Primary MSC 11M26, 11M06)
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Tianyu Qiu and Francisco-Javier Sayas
The Costabel-Stephan system of boundary integral equations in the time domain
(Primary MSC 65N30, 65N38, 65N12, 65N15)
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Michaël Rao and Matthieu Rosenfeld
Avoidability of long $k$-abelian repetitions
(Primary MSC 68R15)
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G. Murali Mohan Reddy and Rajen K. Sinha
On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic intgro-differential equations
(Primary MSC 65M15, 65M60)
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Dominik Schötzau, Christoph Schwab and Thomas P. Wihler
$hp$-DGFEM for second-order mixed elliptic problems in polyhedra
(Primary MSC 65N30)
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Tor Sørevik
Good low degree rank-1 lattice rules of high dimension
(Primary MSC 65D32)
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Daniel B. Szyld and Fei Xue
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues
(Primary MSC 65F15, 65F50, 15A18, 15A22)
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Articles accepted prior to AMS Early View implementation:

Ainsworth, Mark; Guzm\'an, Johnny; Sayas, Francisco-Javier
Discrete extension operators for mixed finite element spaces on locally refined meshes

Amadori, Debora; Gosse, Laurent
Error estimates for well-balanced and time-split schemes on a locally damped wave equation

Audusse, Emmanuel; Bouchut, Fran\c cois; Bristeau, Marie-Odile; Sainte-Marie, Jacques
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system

Bebendorf, M.; Bollh\"ofer, M.; Bratsch, M.
On the spectral equivalence of hierarchical matrix preconditioners for elliptic problems

Benamou, Jean-David; Collino, Francis; Mirebeau, Jean-Marie
Monotone and consistent discretization of the Monge-Amp\`ere operator

Brenner, Susanne

Chang-Tao, Sheng; Zhong-Qing, Wang
An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays

Chartier, Philippe; M\'ehats, Florian; Thalhammer, Mechthild; Zhang, Yong
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schr\"odinger equations

Chen, Long; Nochetto, Ricardo; Ot\'rola, Enrique; Salgado, Abner
Multilevel methods for nonuniformly elliptic operators

Chen, Zhiming; Xiang, Xueshuang; Zhang, Xiaohui
Convergence of the PML method for elastic wave scattering problems

Coquel, Fr\'ed\'eric; Godlewski, Edwige; Haddaoui, Khalil; Marmignon, Claude; Renac, Florent
Choice of measure source terms in interface coupling for a model problem in gas dynamics

Dai, Yuhong; Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
A sequential updating scheme of Lagrange multiplier for separable convex programming

Desveaux, Vivien; Zenk, Markus; Berthon, Christophe; Klingenberg, Christian
Well-balanced schemes to capture non-explicit steady staets. RIPA model

Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods

Dubickas, Art\={u}ras; Hare, Kevin; Jankauskas, Jonas
No two non-real conjugates of a Pisot number have the same imaginary part

Dyn, Nira; Sharon, Nir
A global approach to the refinement of manifold data

Ern, Alexandre; Schieweck, Friedhelm
Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs

Fisher, Benji; Hayes, David
``The 2-divisibility of $h_p^+$''

Franke, Jens; Kleinjung, Thorsten; B\"uthe, Jan; Jost, Alexander
A practical analytic method for calculating $\pi(x)$

Fromentin, Jean; Hivert, Florent
Exploring the tree of numerical semigroups

Gould, N.; Ortner, C.; Packwood, D.
A Dimer method with preconditioning and linesearch

Greni\'e, Lo\"{\i}c; Molteni, Giuseppe
Zeros of Dedekind zeta functions under GRH

Hiary, Ghaith
An alternative to Riemann-Siegel type formulas

Hoang, N.
On node distributions for interpolation and spectral methods

Hungria, Allan; Lessard, Jean-Philippe; Mireles James, Jason D.
Rigorous numerics for analytic solutions of differential equations: The radii polynomial approach

Hu, Lili; Li, Yao; Liu, Yingjie
A limiting strategy for the back and forth error compensation and correction method for solving advection equations

Ichim, Bogdan; Katth\" an, Lukas; Moyano-Fern\' andez, Julio Jos\' e
How to compute the Stanley depth of a module

Kreji\'c, Nata\v sa; Mart\'{\i}nez, J.
Inexact restoration approach for minimization with inexact evaluation of the objective function

Meng, Xiong; Shu, Chi-Wang; Wu, Boying
Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

Moody, Dustin; Shumow, Daniel
Analogues of Vel\'u's formulas for isogenies on alternate models of elliptic curves

Olshanskii, Maxim; Safin, Danil
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces

Sauer, Martin; Stannat, Wilhelm
Analysis and approximation of stochastic nerve axon equations

Sneed, Jason
Lead changes in the prime number race

Soga, Kohei
More on stochastic and variational approach to the Lax-Friedrichs scheme

Wang, Tongke; Liu, Zhifang; Zhang, Zhiyue
The modified composite Gauss type rules for singular integrals possessing with Puiseux expansions

Yang, Danping
Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations

Zieve, Michael
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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