Papers accepted for publication
in Mathematics of Computation which have not yet
been published
Papers are displayed alphabetically by first author listed.
Assyr Abdulle and Patrick Henning
Localized orthogonal decomposition method for the wave equation with a continuum of scales
(Primary MSC 35L05, 65M60, 65N30, 74Q10, 74Q15)
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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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Vladica Andrejić and Milos Tatarevic
Searching for a counterexample of Kurepa’s conjecture
(Primary MSC 11B83)
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Jennifer S. Balakrishnan, Amnon Besser and Jan Steffen Müller
Computing integral points on hyperelliptic curves using quadratic Chabauty
(Primary MSC 11G30)
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Razvan Barbulescu and Armand Lachand
Some mathematical remarks on the polynomial selection in NFS
(Primary MSC 11E76, 11N25, 11N36)
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Caroline Bauzet, Julia Charrier and Thierry Gallouët
Convergence of fluxsplitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation
(Primary MSC 65F15, 65F50, 15A18, 15A22)
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Benjamin Berkels, Alexander Effland and Martin Rumpf
A posteriori error control for the binary MumfordShah model
(Primary MSC 49M25, 53C22, 65D18, 65L20)
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Christopher Bresten, Sigal Gottlieb, Zachary James Grant, Daniel Higgs, David I Ketcheson and Adrian Nemeth
Explicit strong stability preserving multistep RungeKutta methods
(Primary MSC 65M20)
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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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Jessika Camaño, Ricardo Oyarzúa and Giordano Tierra
Analysis of an augmented mixedFEM for the NavierStokes problem
(Primary MSC 65N15, 65N30, 76D05, 76M10)
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Martin Campos Pinto and Eric Sonnendrücker
Gausscompatible Galerkin schemes for timedependent Maxwell equations
(Primary MSC 65M60, 35Q61, 65M12)
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Philippe Chartier, Florian Méhats, Mechthild Thalhammer and Yong Zhang
Improved error estimates for splitting methods applied to highlyoscillatory nonlinear Schrödinger equations
(Primary MSC 34K33, 37L05, 35Q55)
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Long Chen, Ricardo H. Nochetto, Enrique Otŕola and Abner J. Salgado
Multilevel methods for nonuniformly elliptic operators
(Primary MSC 65N55, 65F10, 65N22, 35S15, 65N12, 65N30)
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Yanlai Chen, Julio Bernardo Cockburn and Bo Dong
Superconvergent HDG methods for linear, stationary, thirdorder equations in onespace dimension
(Primary MSC 65M60, 65N30)
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Zhiming Chen, Xueshuang Xiang and Xiaohui Zhang
Convergence of the PML method for elastic wave scattering problems
(Primary MSC 65N30, 65N50)
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Yao Cheng, Xiong Meng and Qiang Zhang
Application of generalized GaussRadau projections for the local discontinuous Galerkin method for linear convectiondiffusion equations
(Primary MSC 65M12, 65M15, 65M60)
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Yingda Cheng, ChingShan Chou, Fengyan Li and Yulong Xing
$L^{2}$ stable discontinuous Galerkin methods for onedimensional twoway wave equations
(Primary MSC 35L05, 35L45, 65M12, 65M60)
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Sudipto Chowdhury, Thirupathi Gudi and A. K. Nandakumaran
Error bounds for a Dirichlet boundary control problem based on energy spaces
(Primary MSC 65N30, 65N15, 65N12, 65K10)
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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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John B. Cosgrave and Karl Dilcher
A role for generalized Fermat numbers
(Primary MSC 11A07)
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Yuhong Dai, Deren Han, Xiaoming Yuan and Wenxing Zhang
A sequential updating scheme of Lagrange multiplier for separable convex programming
(Primary MSC 90C25, 65K10, 94A08, 68W10)
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Artūras Dubickas, Kevin G. Hare and Jonas Jankauskas
No two nonreal conjugates of a Pisot number have the same imaginary part
(Primary MSC 11R06, 11R09)
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Nira Dyn and Nir Sharon
A global approach to the refinement of manifold data
(Primary MSC 65D99, 40A99, 58E10)
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Julio Fernández and Josep González
Functions and differentials on the nonsplit Cartan modular curve of level 11
(Primary MSC 11F46, 14G35, 14Q05)
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Martin J. Gander and Yingxiang Xu
Optimized Schwarz methods with nonoverlapping circular domain decomposition
(Primary MSC 65N55)
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Helmut Harbrecht, Michael Peters and Markus Siebenmorgen
On the quasiMonte Carlo method with Halton points for elliptic PDEs with lognormal diffusion
(Primary MSC 65C05, 65C30, 60H25, 65N30)
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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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Bogdan Ichim, Lukas Katthän and Julio José MoyanoFernández
How to compute the Stanley depth of a module
(Primary MSC 05A18, 05E40)
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Kanya Ishizaka
A solution to energy minimization problem constrained by density function
(Primary MSC 46N10, 26D15, 26A51)
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Jonathan Jaquette and Miroslav Kramar
On $𝜖$ approximations of persistence diagrams
(Primary MSC 5504, 55N99)
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Ali Kamalinejad and Mehrdad Shahshahani
On computations with dessins d’enfants
(Primary MSC 11G32, 14H30, 14H52, 14H57, 14Q05)
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Dohyeong Kim
A modular approach to cubic ThueMahler equations
(Primary MSC 11D59, 11F11, 11Y50)
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Christian Klingenberg, Gero Schnücke and Yinhua Xia
Arbitrary LagrangianEulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension
(Primary MSC 65M12, 65M15, 65M60)
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Joachim König
Computation of Hurwitz spaces and new explicit polynomials for almost simple Galois groups
(Primary MSC 11R32, 12Y05)
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Buyang Li and Weiwei Sun
Maximal $L^{p}$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra
(Primary MSC 35K20, 65M12, 65M30)
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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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JianGuo Liu and Rong Yang
A random particle blob method for the KellerSegel equation and convergence analysis
(Primary MSC 60H10, 65M75, 35Q92, 35K55)
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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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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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Diego Paredes, Frédéric Valentin and Henrique M. Versieux
On the robustness of multiscale hybridmixed methods
(Primary MSC 35J15, 65N15, 65N30)
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Vladimir Yu. Protasov
The Euler binary partition function and subdivision schemes
(Primary MSC 05A17, 39A99, 11P99, 65D17, 15A60)
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M. Pruitt and D. Leykekhman
On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements
(Primary MSC 65N30, 65N15)
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Michaël Rao and Matthieu Rosenfeld
Avoidability of long $k$abelian repetitions
(Primary MSC 68R15)
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Holger Rauhut and Christoph Schwab
Compressive sensing PetrovGalerkin approximation of highdimensional parametric operator equations
(Primary MSC 35B30)
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Javier Segura
The SchwarzianNewton method for solving nonlinear equations, with applications
(Primary MSC 65H05)
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Daniel B. Szyld and Fei Xue
Preconditioned eigensolvers for largescale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues
(Primary MSC 65F15, 65F50, 15A18, 15A22)
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Tongke Wang, Zhifang Liu and Zhiyue Zhang
The modified composite Gauss type rules for singular integrals possessing with Puiseux expansions
(Primary MSC 65D30)
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Araya, Makoto; Harada, Masaaki; Suda, Sho
Quasiunbiased Hadamard matrices and weakly unbiased Hadamard matrices: A codingtheoretic approach
Audusse, Emmanuel; Bouchut, Fran\c cois; Bristeau, MarieOdile; SainteMarie, Jacques
Kinetic entropy inequality and hydrostatic reconstruction scheme for the SaintVenant system
Bachmayr, Markus; Cohen, Albert
Kolmogorov widths and lowrank approximations of parametric elliptic PDEs
Bebendorf, M.; Bollh\"ofer, M.; Bratsch, M.
On the spectral equivalence of hierarchical matrix preconditioners for elliptic problems
Benamou, JeanDavid; Collino, Francis; Mirebeau, JeanMarie
Monotone and consistent discretization of the MongeAmp\`ere operator
Bennett, Michael; Billerey, Nicolas
Sums of two $S$units via FreyHellegouarch curves
Benoit, Alexandre; Joldes, Mioara; Mezzarobba, Marc
Rigorous uniform approximation of Dfinite functions using Chebyshev expansions
Brenner, Susanne
Frontispiece
Buet, Christophe; Despr\' es, Bruno; Franck, Emmanuel; Leroy, Thomas
Proof of uniform convergence for a cellcentered AP discretization of the hyperbolic heat equation on general meshes
Cockburn, Julio Bernardo; Fu, Guosheng; Sayas, Francisco
Superconvergence by $M$decompositions. Part I: General theory for HDG methods for diffusion
Fisher, Benji; Hayes, David
``The 2divisibility of $h_p^+$''
Franke, Jens; Kleinjung, Thorsten; B\"uthe, Jan; Jost, Alexander
A practical analytic method for calculating $\pi(x)$
Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef; Villamizar, Nelly
Planar linkages following a prescribed motion
Garoni, Carlo; Manni, Carla; SerraCapizzano, Stefano; Sesana, Debora; Speleers, Hendrik
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods
Gould, N.; Ortner, C.; Packwood, D.
A Dimertype saddle search algorithm with preconditioning and linesearch
Jeannerod, ClaudePierre; Kornerup, Peter; Louvet, Nicolas; Muller, JeanMichel
Error bounds on complex floatingpoint multiplication with an FMA
Kuo, Frances; Sloan, Ian; Wo\'zniakowski, Henryk
Multivariate integration for analytic functions with Gaussian kernels
Marin, Ivan; Pfeiffer, Goetz
The BMR freeness conjecture for the 2reflection groups
Niemim\"aki, Ossi; Kurz, Stefan; Kettunen, Lauri
Structurepreserving mesh coupling based on the BuffaChristiansen complex
Sneed, Jason
Lead changes in the prime number race
Soga, Kohei
More on stochastic and variational approach to the LaxFriedrichs scheme
Sorenson, Jonathan; Webster, Jonathan
Strong pseudoprimes to twelve prime bases
Yang, Danping
Noniterative 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
