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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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Georgios Akrivis and Emmanuil Katsoprinakis
Backward difference formulae: New multipliers and stability properties for parabolic equations
(Primary MSC 65M12, 65M60)
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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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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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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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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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Jan Büthe
Estimating $𝜋(x)$ and related functions under partial RH assumptions
(Primary MSC 11N05)
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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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Katy Craig and Andrea L. Bertozzi
A blob method for the aggregation equation
(Primary MSC 35Q35, 35Q82, 65M15, 82C22)
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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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Ghaith A. Hiary
A deterministic algorithm for integer factorization
(Primary MSC 11Y05)
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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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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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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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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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Cormac O’Sullivan
Zeros of the dilogarithm
(Primary MSC 33B30, 30C15)
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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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Tor Sørevik
Good low degree rank-1 lattice rules of high dimension
(Primary MSC 65D32)
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Articles accepted prior to AMS Early View implementation:

Abatzoglou, Alexander; Silverberg, Alice; Sutherland, Andrew; Wong, Angela
A framework for deterministic primality proving using elliptic curves with complex multiplication

Akrivis, Georgios
Stability properties of implicit-explicit multistep methods for a class of nonlinear parabolic equations

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

Andersson, Adam; Larsson, Stig
Weak convergence for a spatial approximation of the nonlinear stochastic heat equation

Anghel, Catalina
The self-power map and collecting all residue classes

Bailey, D.; Borwein, J.
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums

Balakrishnan, Jennifer; M\"uller, J.; Stein, William
A $p$-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties

Barekat, Farzin; Osher, Stanley
A time continuation based fast approximate algorithm for compressed sensing related optimization

Bartels, S\"oren
Projection-free approximation of geometrically constrained partial differential equations

Becher, Ver\'onica; Heiber, Pablo; Slaman, Theodore
A computable absolutely normal Liouville number

Bert\'ok, Csan\'ad; Hajdu, Lajos
A Hasse-type principle for exponential diophantine equations and its applications

Bilarev, Todor; Aspenberg, Magnus; Schleicher, Dierk
On the speed of convergence of Newton's method for complex polynomials

Blagouchine, Iaroslav
Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to $\pi^1$

Boito, P.; Eidelman, Y.; Gemignani, L.
Implicit QR for companion-like pencils

Bostan, Alin; Ch\` eze, Guillaume; Cluzeau, Thomas; Weil, Jacques-Arthur
Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields

Bouillard, Anne; Faou, Erwan; Zavidovique, Maxime
Fast weak-KAM integrators for separable Hamiltonian systems

Boyer, F.; Krell, S.; Nabet, F.
Inf-sup stability of the discrete duality finite volume method for the 2D Stokes problem

Brenner, Susanne

Bruinier, Jan; Ehlen, Stephan; Freitag, Eberhard
Lattices with many Borcherds products

Calvo, Juan
A BDDC algorithm with deluxe scaling for $H$(curl) in two dimensions with irregular subdomains

Canc\`es, Cl\'ement; Guichard, Cindy
Convergence of a nonlinear entropy diminishing control volume finite element scheme for solving anisotropic degenerate parabolic equations

Cao, Waixiang; Zhang, Zhimin
Superconvergence of local discontinuous Galerkin methods for one-dimensional linear parabolic equations

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

Chen, William; Wang, Larry; Xie, Gary
Finite differences of the logarithm of the partition function

Christiansen, Snorre; Rapetti, Francesca
On high order finite element spaces of differential forms

Cilleruelo, Javier; Luca, Florian; Pizarro, Amalia
Carmichael numbers in the sequence $(2^nk+1)_{n\geq1}$

Cinkir, Zubeyir
Computation of polarized metrized graph invariants by using discrete Laplacian matrix

Cockburn, Julio Bernardo; Nochetto, Ricardo; Zhang, Wujun
Contraction property of adaptive hybridizable discontinuous Galerkin methods

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

De Villiers, Johan; Gavhi, Mpfareleni
Local interpolation with optimal polynomial exactness in refinement spaces

Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm
A $C^1$-finite element method for the Willmore flow of two-dimensional graphs

Demanet, Laurent; Zhang, Xiangxiong
Eventual linear convergence of the Douglas Rachford iteration for basis pursuit

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

Dieci, Luca; Pugliese, Alessandro
Hermitian matrices of three parameters: Perturbing coalescing eigenvalues and a numerical method

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

Dusart, Pierre
Estimates of $\psi,\theta$ for large values of $x$ without Riemann hypothesis

Egan, Judith; Wanless, Ian
Enumeration of MOLS of small order

Fan, Zhitao; Ji, Hui; Shen, Zuowei
Dual Gramian analysis: Duality principle and unitary extension principle

Faustmann, Markus; Melenk, Jens; Praetorius, Dirk
Existence of $\mathcal{H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator

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

Flammang, V.; Rhin, G.
On the absolute Mahler measure of polynomials having all zeros in a sector. III

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

Gao, Shuhong; Volny, Frank, IV; Wang, Mingsheng
A new algorithm for computing Gr\"obner bases

Gatica, Gabriel; Ruiz-Baier, Ricardo; Tierra, Giordano
A mixed finite element method for Darcy's equations with pressure dependent porosity

Geck, Meinolf; Halls, Abbie
On the Kazhdan-Lusztig cells in type $E_8$

Gobet, E.; Turkedjiev, P.
Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions

Goetz, Claus; Iske, Armin
Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws

Gracia, J.; O'Riordan, E.
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type

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

Hausen, J\"urgen; Keicher, Simon; Laface, Antonio
Computing Cox rings

Hejda, Tom\'a\v s; Pelantov\'a, Edita
Spectral properties of cubic complex Pisot units

Hiary, Ghaith
An alternative to Riemann-Siegel type formulas

Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
Extension by zero in discrete trace spaces: Inverse estimates

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

Hu, Xiaozhe; Cheng, Xiaoliang
Corrigendum to ``Acceleration of a two-grid method for eigenvalue problems''

Jeon, Daeyeol
Families of elliptic curves over cyclic cubic number fields with prescribed torsion

Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
Variational formulation of problems involving fractional order differential operators

Kestler, Sebastian; Steih, Kristina; Urban, Karsten
An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations

Korobov, V.; Bugaevskaya, A.
Almost power sum systems

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

Krumm, David
Computing points of bounded height in projective space over a number field

Lebowitz-Lockard, Noah; Pomerance, Carl
Generating random factored Gaussian integers, easily

Lecaros, Rodrigo; Zuazua, Enrique
Control of 2D scalar conservation laws in the presence of shocks

Liu, Ji; Wright, Stephen
An accelerated randomized Kaczmarz algorithm

McNew, Nathan
On sets of integers which contain no three terms in geometric progression

Melman, A.
On Pellet's theorem for a class of lacunary polynomials

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

Moeller, Michael; Zhang, Xiaoqun
Fast sparse reconstruction: Greedy inverse scale space flows

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

Nguyen, Hoi
On a condition number of random polynomial systems

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

Platt, D.; Trudgian, T.
On the first sign change of $\theta(x)-x$

Ramar\'e, O.
An explicit density estimate for Dirichlet $L$-series

Raum, Martin
Computing genus 1 Jacobi forms

Reddy, G. Murali; Sinha, Rajen
On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic intgro-differential equations

Rivin, Igor
How to pick a random integer matrix? (and other questions)

Ryan, Nathan; Tornar\'{\i}a, Gonzalo; Schmidt, Ralf
Formulas for central values of twisted spin L-functions attached to paramodular forms

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

Sch\"otzau, Dominik; Schwab, Christoph; Wihler, Thomas
$hp$-DGFEM for second-order mixed elliptic problems in polyhedra

Shen, Yun-Qiu; Ypma, Tjalling
Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations

Sneed, Jason
Lead changes in the prime number race

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

Tuitman, Jan
Counting points on curves using a map to $P^1$

Zhang, Long; Xu, Kejian
The tame kernel of $\mathbb{Q}(\zeta_5)$ is trivial

Zieve, Michael
A remark on the paper ``$N$-tuples of positive integers with the same sum and the same product'' by Zhang and Cai