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 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. Abdulle, Assyr; Vilmart, Gilles Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems Aholt, Chris; Oeding, Luke The ideal of the trifocal variety Aistleitner, Christoph; Hofer, Markus Probabilistic discrepancy bounds for Monte Carlo point sets Alford, W.; Grantham, Jon; Hayman, Steven; Shallue, Andrew Constructing Carmichael numbers through improved subset-product algorithms Arnold, Douglas; Awanou, Gerard Finite element differential forms on cubical meshes Aston, Philip; Junge, Oliver Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis Ayuso de Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients Bailey, David; Borwein, Jonathan; Crandall, Richard Computation and theory of extended Mordell-Tornheim-Witten sums Bank, Bernd; Giusti, Marc; Heintz, Joos Point searching in real singular complete intersection varieties: Algorithms of intrinsic complexity Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin An inverse random source problem for the Helmholtz equation Belabas, Karim; Friedman, Eduardo Computing the residue of the Dedekind zeta function Biasse, Jean-François An $L(1/3)$ algorithm for ideal class group and regulator computation in certain number fields Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations Bouharguane, Afaf; Carles, Rémi Splitting methods for the nonlocal Fowler equation Brauchart, J.; Saff, E.; Sloan, I.; Womersley, R. QMC designs: Optimal order quasi Monte Carlo integration schemes on the sphere Briquel, Irénée; Cucker, Felipe; Peña, Javier; Roshchina, Vera Fast computation of zeros of polynomial systems with bounded degree under finite-precision Bröker, Reinier; Lauter, Kristin Evaluating Igusa functions Cancès, Clément; Pop, Iuliu; Vohralík, Martin An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow Canuto, C.; Nochetto, R.; Verani, M. Adaptive Fourier-Galerkin methods Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming Parallel non-iterative multi-physics domain decomposition methods for the time-dependent Stokes-Darcy model Carstensen, Carsten; Gedicke, Joscha Guaranteed lower bounds for eigenvalues Castryck, Wouter; Laterveer, Robert; Ounaïes, Myriam Constraints on counterexamples to the Casas-Alvero conjecture, and a verification in degree 12 Causley, Matthew; Christlieb, Andrew; Ong, Benjamin; Van Groningen, Gerard Method of lines transpose: An implicit solution to the one dimensional wave equation Celledoni, E.; Owren, B.; Sun, Y. The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method Chen, Jie; Wang, Desheng; Du, Qiang Linear finite element superconvergence on simplicial meshes Chui, Charles; Mhaskar, H. Smooth function extension based on high dimensional unstructured data Cockburn, Bernardo; Qiu, Weifeng Commuting diagrams for the TNT elements on cubes Cockburn, Bernardo; Quenneville-Bélair, Vincent Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation Cockburn, Julio Bernardo; Qiu, Weifeng; Solano, Manuel A priori error analysis for HDG methods using extensions from subdomains to achieve boundary-conformity Cockburn, Julio Bernardo; Sayas, Francisco-Javier Divergence-conforming HDG methods for Stokes flows Cockburn, Julio Bernardo; Zhang, Wujun An a posteriori error estimate for the variable-degree Raviart-Thomas method Coffey, Mark Series representation of the Riemann zeta function and other results: Complements to a paper of Crandall Corwin, David; Feng, Tony; Li, Zane; Trebat-Leder, Sarah Elliptic curves with full 2-torsion and maximal adelic Galois representations Costa, Edgar; Gerbicz, Robert; Harvey, David A search for Wilson primes Cuntz, Michael; Stump, Christian On root posets for noncrystallographic root systems Davydov, O.; Prasiswa, J.; Reif, U. Two-stage approximation methods with extended B-splines Da, Xu Uniform $l^{1}$ convergence in the Crank-Nicolson method of a linear integro-differential equation for viscoelastic rods and plates De Bonis, M.; Mastroianni, G. Numerical treatment of a class of systems of Fredholm integral equations on the real line de Graaf, Willem; Oriente, Francesco Classifying semisimple orbits of $\theta$-groups Dembélé, Lassina On the computation of algebraic modular forms on compact inner forms of GSp$_4$ Derenthal, Ulrich; Elsenhans, Andreas-Stephan; Jahnel, Jörg On the factor alpha in Peyre’s constant Dieulefait, Luis; Freitas, Nuno The Fermat-type equations $x^5+y^5 = 2z^p$ or $3z^p$ solved through $\mathbb {Q}$-curves Dittmer, Samuel Spoof odd perfect numbers Doliskani, Javad; Schost, Éric Taking roots over high extensions of finite fields Dong, Bo; Yu, Bo; Yu, Yan A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems Duan, Huoyuan A finite element method for Reissner-Mindlin plates Falk, Richard; Winther, Ragnar Local bounded cochain projections Fan, Jinyan Accelerating the modified Levenberg-Marquardt method for nonlinear equations Fayed, Hatem; Atiya, Amir A novel series expansion for the multivariate normal probability integrals based on Fourier series Fayed, Hatem; Atiya, Amir An evaluation of the integral of the product of the error function and the normal probability density with application to the bivariate normal integral Fisher, Benji; Hayes, David “The 2-divisibility of $h_p^+$” Ford, Kevin; Luca, Florian; Moree, Pieter Values of the Euler $\phi$-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields Gaspoz, Fernando; Morin, Pedro Approximation classes for adaptive higher order finite element approximation Giesselmann, Jan; Makridakis, Charalambos; Pryer, Tristan Energy consistent DG methods for the Navier-Stokes-Korteweg system Gomez, Domingo; Gutierrez, Jaime Recovering zeroes of polynomials modulo a prime Gopalakrishnan, J.; Qiu, W. An analysis of the practical DPG method Greaves, Gary Small-span Hermitian matrices over quadratic integer rings Gudi, Thirupathi; Porwal, Kamana A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems Guzman, Johnny; Neilan, Michael Conforming and divergence-free Stokes elements on general triangular meshes Gómez-Pérez, Domingo; Ostafe, Alina; Shparlinski, Igor Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators Haanpää, Harri; Östergård, Patric Counting Hamiltonian cycles in bipartite graphs Hajdu, Lajos; Ziegler, Volker Distinct unit generated totally complex quartic fields Han, Deren; Yuan, Xiaoming; Zhang, Wenxing An augmented-Lagrangian-based parallel splitting method for separable convex minimization with applications to image processing Harada, Masaaki; Miezaki, Tsuyoshi On the existence of extremal type II $\mathbb {Z}_{2k}$-codes Harvey, David A subquadratic algorithm for computing the $n$-th Bernoulli number Hovhannisyan, Nune; Müller, Siegfried; Scháfer, Roland Adaptive multiresolution discontinuous Galerkin schemes for conservation laws Huang, Xiaowei; Wu, Chuansheng; Zhou, Jun Numerical differentiation by integration Hu, Jingwei; Ying, Lexing A fast algorithm for the energy space boson Boltzmann collision operator Jespers, Eric; del Río, Ángel; Van Gelder, Inneke Writing units of integral group rings of finite abelian groups as a product of Bass units Jiang, Ying; Xu, Yuesheng Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids Jiang, Yupeng; Deng, Yingpu Strong pseudoprimes to the first eight prime bases Ji, Liangyue; van Slingerland, Paulien; Ryan, Jennifer; Vuik, Kees Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions Jorgenson, Jay; Smajlović, Lejla; Then, Holger On the distribution of eigenvalues of Maass forms on certain moonshine groups Kalla, C.; Klein, C. Computation of the topological type of a real Riemann surface Kamenski, Lennard; Huang, Weizhang; Xu, Hongguo Conditioning of finite element equations with arbitrary anisotropic meshes Karlsen, K.; Risebro, N.; Storrøsten, E. $L^1$ error estimates for difference approximations of degenerate convection-diffusion equations Katsoulakis, Markos; Plecháĉ, Petr; Rey-Bellet, Luc; Tsagkarogiannis, Dimitrios Coarse-graining schemes for stochastic lattice systems with short and long-range interactions Kim, Minkyu; Cheon, Jung Hee Computing prime divisors in an interval Kim, Minkyu; Cheon, Jung Hee; Lee, In-Sok Analysis on a generalized algorithm for the strong discrete logarithm problem with auxiliary inputs Kohatsu-Higa, Arturo; Ortiz-Latorre, Salvador; Tankov, Peter Optimal simulation schemes for Lévy driven stochastic differential equations Kontogeorgis, Aristides Constructing class invariants Kopteva, Natalia Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations Kovács, Mihály; Printems, Jacques Strong order of convergence of a fully discrete approximation of a linear stochastic Volterra type evolution equation Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces Lezowski, Pierre Computation of the Euclidean minimum of algebraic number fields Ling, San; Ozdemir, Enver; Xing, Chaoping A relation between embedding degrees and class numbers of binary quadratic forms Ling, San; Shparlinski, Igor; Wang, Huaxiong On the multidimensional distribution of the Naor-Reingold pseudo-random function Lin, Qun; Xie, Hehu A multi-level correction scheme for Eigenvalue problems Lin, Qun; Xie, Hehu; Xu, Jinchao Lower bounds of the discretization error for piecewise polynomials Loy, R.; Anderssen, R. On the construction of Dirichlet series approximations for completely monotone functions Mahé, Valéry Prime power terms in elliptic divisibility sequences Matsumoto, Makoto; Saito, Mutsuo; Matoba, Kyle A computable figure of merit for quasi-Monte Carlo point sets Meštrović, Romeo A search for primes $p$ such that Euler number $E_{p-3}$ is divisible by $p$ Milovanović, Gradimir; Spalević, Miodrag Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients Moore, Dennis; Nagel, Uwe Algorithms for strongly stable ideals Mourrain, Bernard On the dimension of spline spaces on planar T-meshes Müller, Jan Computing canonical heights using arithmetic intersection theory Nart, Enric Local computation of differents and discriminants Nebe, Gabriele; Parker, Richard On extremal even unimodular 72-dimensional lattices. Ochem, Pascal; Rao, Michaël On the number of prime factors of an odd perfect number Oliveira e Silva, Tomás; Herzog, Siegfried; Pardi, Silvio Empirical verification of the even Goldbach conjecture, and computation of prime gaps, up to $4\cdot 10^{18}$ Pacetti, Ariel; Sirolli, Nicolás Computing ideal classes representatives in quaternion algebras Pan, Shaohua; Kum, Sangho; Lim, Yongdo; Chen, Jein-Shan On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem Peterseim, D. Composite finite elements for elliptic interface problems Pitoun, Frédéric; Varescon, Firmin Computing the torsion of the $p$-ramified module of a number field Pomerance, Carl; Yang, Hee-Sung Variant of a theorem of Erdős on the sum-of-proper-divisors function Rand, Alexander; Gillette, Andrew; Bajaj, Chandrajit Quadratic serendipity finite elements on polygons using generalized barycentric coordinates Rodríguez, Rodolfo; Venegas, Pablo Numerical approximation of the spectrum of the curl operator Rubinstein-Salzedo, Simon Period computations for covers of elliptic curves Rubinstein, Michael; Yamagishi, Shuntaro Computing the moment polynomials of the zeta function Sadek, Mohammad On elliptic curves whose conductor is a product of two prime powers Sadiq, Burhan; Viswanath, Divakar Finite difference weights, spectral differentiation, and superconvergence Saouter, Yannick; Riele, Herman Improved results on the Mertens conjecture Sawa, Masanori; Xu, Yuan On positive cubature rules on the simplex and isometric embeddings Schenck, Hal; Seceleanu, Alexandra; Validashti, Javid Syzygies and singularities of tensor product surfaces of bidegree (2,1) Schicho, Josef; Sevilla, David Tschirnhaus-Weierstrass curves Sneed, Jason Lead changes in the prime number race Sokolowsky, Benjamin; VanHooft, Amy; Volkert, Rachael; Reiter, Clifford An infinite family of perfect parallelepipeds Stynes, Martin Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements Tao, Terence Every odd number greater than 1 is the sum of at most five primes Theobald, Thorsten; de Wolff, Timo Approximating amoebas and coamoebas by sums of squares Ulas, Maciej On some Diophantine systems involving symmetric polynomials Urban, Karsten; Patera, Anthony An improved error bound for reduced basis approximation of linear parabolic problems Vabishchevich, Petr Additive schemes (splitting schemes) for some systems of evolutionary equations Velichka, M.; Jacobson, M., Jr.; Stein, A. Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields Verdier, Olivier Reductions of operator pencils Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonial polynomials Wasilkowski, G. Average case tractability of approximating $\infty$-variate functions Xu, Zhengfu Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem Zhang, Lei-Hong; Yang, Wei Hong A fast and efficient algorithm for second-order cone linear complementarity problems Zhang, Peng; Gao, Yuxiang; Fierson, Janet; Deng, Yuefan Eigenanalysis-based task mapping on parallel computers with cellular networks Zhang, Zhenxiang Estimating the counts of Carmichael and Williams numbers with small multiple seeds Zhu, Huiqing; Zhang, Zhimin Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer Zieve, Michael A remark on the paper “$N$-tuples of positive integers with the same sum and the same product” by Zhang and Cai