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. Adler, James; Nistor, Victor Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D Akbary, Amir; Hambrook, Kyle A variant of the Bombieri-Vinogradov theorem with explicit constants and applications Akbary, Amir; Scholten, Keilan Artin prime producing polynomials Anghel, Catalina The self-power map and collecting all residue classes 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 Argyros, I.; Hernández, M.; Hilout, S.; Romero, N. Directional Chebyshev-type methods for solving equations Bach, Eric; Shallue, Andrew Counting composites with two strong liars Bailey, D.; Borwein, J. Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums 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 Barekat, Farzin; Osher, Stanley A time continuation based fast approximate algorithm for compressed sensing related optimization 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 Batenkov, Dmitry Complete algebraic reconstruction of piecewise-smooth functions from Fourier data Becher, Verónica; Heiber, Pablo; Slaman, Theodore A computable absolutely normal Liouville number Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian Kinetic schemes on staggered grids for barotropic Euler models: Entropy-stability analysis Best, D.; Trudgian, T. Linear relations of zeroes of the zeta-function Bilarev, Todor; Aspenberg, Magnus; Schleicher, Dierk On the speed of convergence of Newton’s method for complex polynomials 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 Bouillard, Anne; Faou, Erwan; Zavidovique, Maxime Fast weak-KAM integrators for separable Hamiltonian systems Bourgain, Jean; Konyagin, Sergei; Shparlinski, Igor Character sums and deterministic polynomial root finding in finite fields Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for Scalar multidimensional and multi-component laws Boyer, F.; Krell, S.; Nabet, F. Inf-sup stability of the discrete duality finite volume method for the 2D Stokes problem Braun, Oliver; Coulangeon, Renaud Perfect lattices over imaginary quadratic number fields Brenner, Susanne Frontispiece Brent, Richard; Johansson, Fredrik A bound for the error term in the Brent-McMillan algorithm Böhm, Janko; Decker, Wolfram; Fieker, Claus; Pfister, Gerhard The use of bad primes in rational reconstruction 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, Waixiang; Zhang, Zhimin Superconvergence of local discontinuous Galerkin method for one-dimensional linear parabolic equations Carstensen, Carsten; Dolzmann, Georg Convergence of adaptive finite element methods for a nonconvex double-well minimisation problem Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems Chan, Wai Kiu; Icaza, María; Lauret, Emilio On a generalized Hermite constant for imaginary quadratic number fields Chouly, Franz; Hild, Patrick; Renard, Yves Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: Theory and numerical experiments Chung, Y.-M.; Jolly, M. A unified approach to compute foliations, inertial manifolds, and tracking initial conditions Cilleruelo, Javier; Luca, Florian; Pizarro, Amalia Carmichael numbers in the sequence $(2^nk+1)_{n\geq 1}$ Cinkir, Zubeyir Computation of polarized metrized graph invariants by using discrete Laplacian matrix Cohen, Henri Exact counting of $D_\ell$ number fields with given quadratic resolvent Cohen, Stephen; Oliveira e Silva, Tomás; Trudgian, Tim A proof of the conjecture of Cohen and Mullen on sums of primitive roots 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 Darmon, Henri; Daub, Michael; Lichtenstein, Sam; Rotger, Victor; Stein, William Algorithms for Chow-Heegner points via iterated integrals 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 Demaret, Laurent; Iske, Armin Optimal $N$-term approximation by linear splines over anisotropic Delaunay triangulations Dieci, Luca; Pugliese, Alessandro Hermitian matrices of three parameters: Perturbing coalescing eigenvalues and a numerical method Doornik, Jurgen Numerical evaluation of the Gauss hypergeometric function by power summations Doyle, John; Krumm, David Computing algebraic numbers of bounded height Faber, Laura; Kadiri, Habiba New bounds for $\psi (x)$ Fan, Zhitao; Ji, Hui; Shen, Zuowei Dual Gramian analysis: Duality principle and unitary extension principle 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 Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel Convergence of the Wang-Landau algorithm Franek, Peter; Ratschan, Stefan Effective topological degree computation based on interval arithmetic Gao, Shuhong; Volny, Frank, IV; Wang, Mingsheng A new algorithm for computing Gröbner 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 $E_8$ Georgoulis, Emmanuil; Virtanen, Juha Adaptive discontinuous Galerkin approximations to fourth order parabolic problems Goetz, Claus; Iske, Armin Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws Gopalakrishnan, J.; Li, F.; Nguyen, N.-C.; Peraire, J. Spectral approximations by the HDG method Gottlieb, Sigal; Grant, Zachary; Higgs, Daniel Optimal explicit strong stability preserving Runge-Kutta methods with high linear order and optimal nonlinear order Hejda, Tomáš; Pelantová, Edita Spectral properties of cubic complex Pisot units Heuer, Norbert; Sayas, Francisco-Javier Analysis of a non-symmetric coupling of interior penalty DG and BEM Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng Extension by zero in discrete trace spaces: Inverse estimates Hu, Xiaozhe; Cheng, Xiaoliang Corrigendum to “Acceleration of two-grid method for eigenvalue problems” Ignat, Liviu; Pozo, Alejandro; Zuazua, Enrique 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 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William Variational formulation of problems involving fractional order differential operators Karakasian, Ohannes; Makridakis, Charalambos A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation Kaski, Petteri; Ostergard, Patric; Popa, Alexandru Enumeration of Steiner triple systems with subsystems Koornwinder, Tom; Sauter, Stefan The intersection of bivariate orthogonal polynomials on triangle patches Krumm, David Computing points of bounded height in projective space over a number field Kuznetsov, A. Computing the truncated theta function via Mordell integral Lai, Ming-Jun; Liu, Yang The probabilistic estimates 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 Liu, Hailiang Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations Liu, Ji; Wright, Stephen An accelerated randomized Kaczmarz algorithm 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 Lubich, Christian; Mansour, Dhia Variational discretization of wave equations on evolving surfaces Lui, Lok Ming; Gu, Xianfeng; Yau, Shing-Tung Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization McNew, Nathan On sets of integers which contain no three terms in geometric progression Miller, John Real cyclotomic fields of prime conductor and their class numbers Neilan, Michael Discrete and conforming smooth de Rham complexes in three dimensions Nelson, Paul Evaluating modular forms on Shimura curves Nielsen, Pace Odd perfect numbers, Diophantine equations, and upper bounds Notaris, Sotirios The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions Okayama, Tomoaki; Matsuo, Takayasu; Sugihara, Masaaki Theoretical analysis of Sinc-Nyström methods for Volterra integral equations Page, Aurel Computing arithmetic Kleinian groups Pieltant, Julia; Randriam, Hugues New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields Platt, David Computing $\pi (x)$ analytically Pérez-Díaz, S.; Sendra, J.; Villarino, C. Computing the singularities of rational surfaces Ramaré, Olivier Explicit estimates on several summatory functions involving the Moebius function Rivin, Igor How to pick a random integer matrix? (and other questions) Roblot, Xavier-François Computing $p$-adic $L$-functions of totally real number fields Saouter, Yannick; Trudgian, Timothy; Demichel, Patrick A still sharper region where $\pi (x)-{\mathrm {li}}(x)$ is positive 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 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 Xu, Yifeng; Zou, Jun Convergence of an adaptive finite element method for distributed flux reconstruction 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 Zieve, Michael A remark on the paper “$N$-tuples of positive integers with the same sum and the same product” by Zhang and Cai