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. Adcock, Ben; Hansen, Anders Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients Adler, James; Nistor, Victor Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D Aholt, Chris; Oeding, Luke The ideal of the trifocal variety Akbary, Amir; Hambrook, Kyle A variant of the Bombieri-Vinogradov theorem with explicit constants and applications Akbary, Amir; Scholten, Keilan Artin prime producing polynomials Antonopoulou, D.; Karali, G.; Plexousakis, M.; Zouraris, G. Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd Finite element error estimates on the boundary with application to optimal control Argyros, I.; Hernández, M.; Hilout, S.; Romero, N. Directional Chebyshev-type methods for solving equations Bai, Shi; Brent, Richard; Thomé, Emmanuel Root optimization of polynomials in the number field sieve Balakrishnan, Jennifer; Çiperiani, Mirela; Stein, William $p$-adic heights of Heegner points and $\Lambda$-adic regulators Barbulescu, Razvan Selecting polynomials for the function field sieve Bartels, Sören; Nochetto, Ricardo; Salgado, Abner A total variation diminishing interpolation operator and applications Bartels, Sóren Error control and adaptivity for a variational model problem defined on functions of bounded variation Belabas, Karim; Friedman, Eduardo Computing the residue of the Dedekind zeta function Best, D.; Trudgian, T. Linear relations of zeroes of the zeta-function Bisson, Gaetan Computing endomorphism rings of abelian varieties of dimension two Bonito, Andrea; Devaud, Denis Adaptive finite element methods for the Stokes problem with discontinuous viscosity Bonito, Andrea; Pasciak, Joseph Numerical approximation of fractional powers of elliptic operators Bonnaillie-Noël, V.; Dambrine, M.; Hérau, F.; Vial, G. Artificial conditions for the linear elasticity equations Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for Scalar multidimensional and multi-component laws Brauchart, J.; Saff, E.; Sloan, I.; Womersley, R. QMC designs: Optimal order quasi Monte Carlo integration schemes on the sphere Braun, Oliver; Coulangeon, Renaud Perfect lattices over imaginary quadratic number fields Brenner, Susanne Frontispiece Brenner, Susanne; Sung, Li-Yeng Piecewise $H^1$ functions and vector fields associated with meshes generated by independent refinements Brent, Richard; Johansson, Fredrik A bound for the error term in the Brent-McMillan algorithm Büthe, Jan A method for proving the completeness of a list of zeros of certain L-functions Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben Variable order smoothness priors for ill-posed inverse problems Cao, Weiming Superconvergence analysis of the linear finite element method and a gradient recovery postprocessing on anisotropic meshes Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems Carstensen, Carsten; Gedicke, Joscha Guaranteed lower bounds for eigenvalues Causley, Matthew; Christlieb, Andrew; Ong, Benjamin; Van Groningen, Lee Method of lines transpose: An implicit solution to the wave equation Chan, Wai Kiu; Icaza, María; Lauret, Emilio On a generalized Hermite constant for imaginary quadratic number fields Chen, Yannan; Sun, Wenyu A dwindling filter line search method for unconstrained optimization Chen, Zhongying; Xu, Yuesheng; Zhang, Yuanyuan A construction of higher-order finite volume methods Chouly, Franz; Hild, Patrick; Renard, Yves Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: Theory and numerical experiments Chui, Charles; Mhaskar, H. Smooth function extension based on high dimensional unstructured data Chung, Y.-M.; Jolly, M. A unified approach to compute foliations, inertial manifolds, and tracking initial conditions Cockburn, Julio Bernardo; Sayas, Francisco-Javier Divergence-conforming HDG methods for Stokes flows Cohen, Henri Exact counting of $D_\ell$ number fields with given quadratic resolvent Cosset, Romain; Robert, Damien Computing $(\ell ,\ell )$-isogenies in polynomial time on Jacobians of genus $2$ curves Costello, Fintan; Watts, Paul An upper bound on Jacobsthal’s function Cremona, J.; Fisher, T.; O’Neil, C.; Simon, D.; Stoll, M. Explicit $n$-descent on elliptic curves III. Algorithms Cuntz, Michael; Stump, Christian On root posets for noncrystallographic root systems Darmon, Henri; Daub, Michael; Lichtenstein, Sam; Rotger, Victor; Stein, William Algorithms for Chow-Heegner points via iterated integrals Demaret, Laurent; Iske, Armin Optimal $N$-term approximation by linear splines over anisotropic Delaunay triangulations Di Pietro, Daniele; Lemaire, Simon An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow Di Pietro, Daniele; Vohralík, Martin; Yousef, Soleiman Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem Doornik, Jurgen Numerical evaluation of the Gauss hypergeometric function by power summations Faber, Laura; Kadiri, Habiba New bounds for $\psi (x)$ Falk, Richard; Winther, Ragnar Local bounded cochain projections Fayed, Hatem; Atiya, Amir A novel series expansion for the multivariate normal probability integrals based on Fourier series Fisher, Benji; Hayes, David “The 2-divisibility of $h_p^+$” Franek, Peter; Ratschan, Stefan Effective topological degree computation based on interval arithmetic Georgoulis, Emmanuil; Virtanen, Juha Adaptive discontinuous Galerkin approximations to fourth order parabolic problems Gonzalez, Oscar; Li, Jun A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$ Gopalakrishnan, Jay; Li, Fengyan; Nguyen, Ngoc-Cuong; Peraire, Jaume Spectral approximations by the HDG method Grau, José; Oller-Marcén, Antonio; Sadornil, Daniel A primality test for $Kp^n+1$ numbers Greaves, Gary Small-span Hermitian matrices over quadratic integer rings Greither, Cornelius; Roblot, Xavier-François; Tangedal, Brett Corrigendum to “The Brumer-Stark conjecture in some families of extensions of specified degree” Guitart, Xavier; Masdeu, Marc Elementary matrix decomposition and the computation of Darmon points with higher conductor Han, Bin Algorithm for constructing symmetric dual framelet filter banks Han, Deren; Yuan, Xiaoming; Zhang, Wenxing An augmented-Lagrangian-based parallel splitting method for separable convex minimization with applications to image processing Harvey, David A subquadratic algorithm for computing the $n$-th Bernoulli number Heuer, Norbert; Sayas, Francisco-Javier Analysis of a non-symmetric coupling of interior penalty DG and BEM He, Simai; Li, Zhening; Zhang, Shuzhong Inhomogeneous polynomial optimization over a convex set: An approximation approach Hinrichs, Aicke; Novak, Erich; Ullrich, Mario; Woźniakowski, Henryk The curse of dimensionality for numerical integration of smooth functions Hutz, Benjamin Determination of all rational preperiodic points for morphisms of PN Hu, Jingwei; Ying, Lexing A fast algorithm for the energy space boson Boltzmann collision operator Hu, Jun; Zhang, Shangyou The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids Ignat, L.; Pozo, A.; Zuazua, E. Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws Jespers, E.; Juriaans, S.; Kiefer, A.; de Andrade e Silva, A.; Souza Filho, A. From the Poincaré theorem to generators of the unit group of integral group rings of finite groups 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 Johansson, Fredrik A fast algorithm for reversion of power series 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 Karakasian, Ohannes; Makridakis, Charalambos A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation 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 Koornwinder, Tom; Sauter, Stefan The intersection of bivariate orthogonal polynomials on triangle patches La Scala, Roberto Gröbner bases and gradings for partial difference ideals Lai, Ming-Jun; Liu, Yang A study on the largest and smallest $q$-singular values of random matrices Lakkis, Omar; Makridakis, Charalambos; Pryer, Tristan A comparison of duality and energy aposteriori estimates for $L_\infty (0,T;L_2(\Omega ))$ in parabolic problems Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan Conditional bounds for the least quadratic non-residue and related problems Lescarret, Vincent; Zuazua, Enrique Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces Ling, San; Ozdemir, Enver; Xing, Chaoping A relation between embedding degrees and class numbers of binary quadratic forms Lin, Qun; Xie, Hehu A multi-level correction scheme for Eigenvalue problems Liu, Hailiang Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations Li, Hengguang Regularity and multigrid analysis for Laplace-type axisymmetric equations Li, Jichun; Huang, Yunqing; Yang, Wei Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks Li, Zhilin On convergence of the immersed boundary method for elliptic interface problems Loeffler, David; Weinstein, Jared Erratum to “On the computation of local components of a newform” Lopez-Fernandez, M.; Sauter, S. Fast and stable contour integration for high order divided differences via elliptic functions Lubich, Christian; Mansour, Dhia Variational discretization of wave equations on evolving surfaces Miller, John Real cyclotomic fields of prime conductor and their class numbers Morais, Joao; Cacao, Isabel Quaternion Zernike spherical polynomials Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander Knapsack problems in groups Målqvist, Axel; Peterseim, Daniel Localization of elliptic multiscale problems Navas, Luis; Ruiz, Francisco; Varona, Juan Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function Nelson, Paul Evaluating modular forms on Shimura curves Nielsen, Pace Odd perfect numbers, Diophantine equations, and upper bounds Notaris, Sotiris The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegő weight functions Okayama, Tomoaki; Matsuo, Takayasu; Sugihara, Masaaki Theoretical analysis of Sinc-Nyström methods for Volterra integral equations Page, Aurel Computing arithmetic Kleinian groups Pappalardi, Francesco Divisibility of reduction in groups of rational numbers Pieltant, Julia; Randriam, Hugues New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields Pitoun, Frédéric; Varescon, Firmin Computing the torsion of the $p$-ramified module of a number field Platt, David Computing $\pi (x)$ analytically Poor, Cris; Yuen, David Paramodular cusp forms Pérez-Díaz, S.; Sendra, J.; Villarino, C. Computing the singularities of rational surfaces Qiao, Zhonghua; Sun, Zhi-Zhong; Zhang, Zhengru Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection Rahman, Sharif Approximation errors in truncated dimensional decompositions Ramaré, Olivier Explicit estimates on several summatory functions involving the Möbius function Roblot, Xavier-François Computing $p$-adic $L$-functions of totally real number fields Rubinstein, Michael; Yamagishi, Shuntaro Computing the moment polynomials of the zeta function Saouter, Yannick; Trudgian, Timothy; Demichel, Patrick A still sharper region where $\pi (x)-{\mathrm {li}}(x)$ is positive Sauer, Martin; Stannat, Wilhelm Lattice approximation for stochastic reaction diffusion equations with one-sided Lipschitz condition Sneed, Jason Lead changes in the prime number race Soga, Kohei Stochastic and variational approach to the Lax-Friedrichs scheme Stynes, Martin Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements Tian, WenYi; Zhou, Han; Deng, Weihua A class of second order difference approximation for solving space fractional diffusion equations Trudgian, T. An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonial polynomials Wang, Junping; Ye, Xiu A weak Galerkin mixed finite element method for second order elliptic problems Yarman, Can; Flagg, Garret Approximation of the integral representation of an analytic function with an arbitrary analytic kernel Zeng, Jinxiang; Yin, Linsheng On the computation of coefficients of modular forms: The reduction modulo $p$ approach Zhang, Yi; Zhang, Liwei; Wu, Jia; Zhang, Jianzhong A perturbation approach for an inverse quadratic programming problem over second-order cones Zhang, Zhenxiang Estimating the counts of Carmichael and Williams numbers with small multiple seeds Zieve, Michael A remark on the paper “$N$-tuples of positive integers with the same sum and the same product” by Zhang and Cai