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Mathematics of Computation, Volume 85
Volume 85, Number 297, 2016
- Gabriel N. Gatica

, Ricardo Ruiz-Baier
, Giordano Tierra
:
A mixed finite element method for Darcy's equations with pressure dependent porosity. 1-33 - Claus R. Goetz, Armin Iske:

Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws. 35-62 - Waixiang Cao, Zhimin Zhang:

Superconvergence of Local Discontinuous Galerkin methods for one-dimensional linear parabolic equations. 63-84 - Anne Bouillard, Erwan Faou, Maxime Zavidovique:

Fast weak-KAM integrators for separable Hamiltonian systems. 85-117 - Markus Faustmann

, Jens Markus Melenk, Dirk Praetorius
:
Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator. 119-152 - Ji Liu, Stephen J. Wright:

An accelerated randomized Kaczmarz algorithm. 153-178 - Michael Möller, Xiaoqun Zhang:

Fast sparse reconstruction: Greedy inverse scale space flows. 179-208 - Laurent Demanet, Xiangxiong Zhang

:
Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit. 209-238 - Zhitao Fan, Hui Ji

, Zuowei Shen
:
Dual Gramian analysis: Duality principle and unitary extension principle. 239-270 - Yun-Qiu Shen, Tjalling J. Ypma:

Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations. 271-293 - David H. Bailey, Jonathan M. Borwein:

Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums. 295-324 - Olivier Ramaré

:
An explicit density estimate for Dirichlet L-series. 325-356 - Javier Cilleruelo, Florian Luca

, Amalia Pizarro-Madariaga
:
Carmichael numbers in the sequence (2n k+1)n≥1. 357-377 - Catalina V. Anghel

:
The self-power map and collecting all residue classes. 379-399 - Tomás Hejda, Edita Pelantová

:
Spectral properties of cubic complex Pisot units. 401-421 - David Krumm

:
Computing points of bounded height in projective space over a number field. 423-447 - Shuhong Gao, Frank Volny IV, Mingsheng Wang:

A new framework for computing Gröbner bases. 449-465 - Jürgen Hausen, Simon Keicher, Antonio Laface

:
Computing Cox rings. 467-502 - Noah Lebowitz-Lockard, Carl Pomerance:

Generating random factored Gaussian integers, easily. 503-516
Volume 85, Number 298, 2016
- Snorre H. Christiansen

, Francesca Rapetti:
On high order finite element spaces of differential forms. 517-548 - Clément Cancès, Cindy Guichard:

Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations. 549-580 - Jose L. Gracia

, Eugene O'Riordan
:
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type. 581-599 - Debora Amadori

, Laurent Gosse
:
Error Estimates for well-balanced and time-split schemes on a locally damped wave equation. 601-633 - Zhong-Qing Wang

, Chang-Tao Sheng:
An hp-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. 635-666 - N. S. Hoang:

On node distributions for interpolation and spectral methods. 667-692 - Todor Bilarev, Magnus Aspenberg, Dierk Schleicher:

On the speed of convergence of Newton's method for complex polynomials. 693-705 - Aaron Melman

:
On Pellet's Theorem for a class of lacunary polynomials. 707-716 - Valery I. Korobov

, A. N. Bugaevskaya:
Almost power sum systems. 717-736 - Hoi H. Nguyen

:
On a condition number of general random polynomial systems. 737-757 - Johan de Villiers, Mpfareleni Rejoyce Gavhi:

Local interpolation with optimal polynomial exactness in refinement spaces. 759-782 - Igor Rivin:

How to pick a random integer matrix? (and other questions). 783-797 - Judith Egan, Ian M. Wanless:

Enumeration of MOLS of small order. 799-824 - William Y. C. Chen, Larry X. W. Wang, Gary Y. B. Xie:

Finite differences of the logarithm of the partition function. 825-847 - Csanád Bertók, Lajos Hajdu:

A Hasse-type principle for exponential Diophantine equations and its applications. 849-860 - Shi Bai, Cyril Bouvier, Alexander Kruppa, Paul Zimmermann

:
Better polynomials for GNFS. 861-873 - Pierre Dusart:

Estimates of ψ,θ for large values of x without the Riemann hypothesis. 875-888 - Loïc Grenié, Giuseppe Molteni

:
Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH. 889-906 - Nathan C. Ryan, Gonzalo Tornaría, Ralf Schmidt:

Formulas for central values of twisted spin L-functions attached to paramodular forms. 907-929 - Martin Raum

:
Computing genus 1 Jacobi forms. 931-960 - Jan Tuitman:

Counting points on curves using a map to P1. 961-981 - Jennifer S. Balakrishnan

, Jan Steffen Müller, William Stein:
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties. 983-1016 - Ghaith A. Hiary:

An alternative to Riemann-Siegel type formulas. 1017-1032
Volume 85, Number 299, 2016
- Sören Bartels

:
Projection-free approximation of geometrically constrained partial differential equations. 1033-1049 - Dominik Schötzau, Christoph Schwab, Thomas P. Wihler:

hp-dGFEM for second-order mixed elliptic problems in polyhedra. 1051-1083 - Juan G. Calvo

:
A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains. 1085-1111 - Bernardo Cockburn

, Ricardo H. Nochetto, Wujun Zhang:
Contraction property of adaptive hybridizable discontinuous Galerkin methods. 1113-1141 - D. C. Antonopoulos, Vassilios A. Dougalis:

Error estimates for the standard Galerkin-finite element method for the shallow water equations. 1143-1182 - Rodrigo Lecaros

, Enrique Zuazua
:
Control of 2D scalar conservation laws in the presence of shocks. 1183-1224 - Xiong Meng, Chi-Wang Shu

, Boying Wu:
Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations. 1225-1261 - Lili Hu, Yao Li, Yingjie Liu:

A limiting strategy for the back and forth error compensation and correction method for solving advection equations. 1263-1280 - Christophe Berthon, Christophe Chalons:

A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations. 1281-1307 - Sebastian Kestler, Kristina Steih, Karsten Urban:

An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations. 1309-1333 - Adam Andersson, Stig Larsson:

Weak convergence for a spatial approximation of the nonlinear stochastic heat equation. 1335-1358 - Emmanuel Gobet, Plamen Turkedjiev:

Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions. 1359-1391 - Alin Bostan, Guillaume Chèze, Thomas Cluzeau, Jacques-Arthur Weil:

Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields. 1393-1425 - Allan Hungria, Jean-Philippe Lessard

, Jason D. Mireles-James
:
Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach. 1427-1459 - Alexander Abatzoglou, Alice Silverberg, Andrew V. Sutherland

, Angela Wong:
A framework for deterministic primality proving using elliptic curves with complex multiplication. 1461-1483 - Daeyeol Jeon:

Families of elliptic curves over cyclic cubic number fields with prescribed torsion. 1485-1502 - Loïc Grenié, Giuseppe Molteni

:
Zeros of Dedekind zeta functions under GRH. 1503-1522 - Long Zhang, Kejian Xu:

The tame kernel of ℚ(ζ5) is trivial. 1523-1538 - David J. Platt

, Timothy S. Trudgian:
On the first sign change of θ(x) - x. 1539-1547
Volume 85, Number 300, 2016
- Maxim A. Olshanskii

, Danil Safin:
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces. 1549-1570 - Vivien Desveaux, Markus Zenk

, Christophe Berthon, Christian Klingenberg
:
Well-balanced schemes to capture non-explicit steady states: Ripa model. 1571-1602 - Sheng Chen, Jie Shen

, Li-Lian Wang:
Generalized Jacobi functions and their applications to fractional differential equations. 1603-1638 - Marco Donatelli

, Carlo Garoni
, Carla Manni
, Stefano Serra-Capizzano
, Hendrik Speleers
:
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. 1639-1680 - Katy Craig

, Andrea L. Bertozzi
:
A blob method for the aggregation equation. 1681-1717 - Pierre Lairez:

Computing periods of rational integrals. 1719-1752 - Paola Boito

, Yuli Eidelman, Luca Gemignani
:
Implicit QR for companion-like pencils. 1753-1774 - Natasa Krejic

, José Mario Martínez
:
Inexact Restoration approach for minimization with inexact evaluation of the objective function. 1775-1791 - Hoang-Long Ngo

, Dai Taguchi:
Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients. 1793-1819 - Tor Sørevik:

Good low degree rank-1 lattice rules of high dimension. 1821-1835 - C. F. Bracciali

, J. H. McCabe, Teresa E. Pérez
, A. Sri Ranga
:
A class of orthogonal functions given by a three term recurrence formula. 1837-1859 - Thorsten Kleinjung:

Quadratic sieving. 1861-1873 - Loïc Grenié, Giuseppe Molteni

:
Explicit smoothed prime ideals theorems under GRH. 1875-1899 - Reinier Bröker, Jeffrey Hoffstein

:
Fourier coefficients of sextic theta series. 1901-1927 - Dustin Moody

, Daniel Shumow:
Analogues of Vélu's formulas for isogenies on alternate models of elliptic curves. 1929-1951 - Jan H. Bruinier

, Stephan Ehlen
, Eberhard Freitag:
Lattices with many Borcherds products. 1953-1981 - Anton Mosunov, M. J. Jacobson:

Unconditional class group tabulation of imaginary quadratic fields to ||Δ|| < 240. 1983-2009 - Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling:

Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. 2011-2045 - Sukumar Das Adhikari, Luis Boza, Shalom Eliahou

, Juan Manuel Marín
, M. P. Revuelta
, María Isabel Sanz Domínguez
:
On the n-color Rado number for the equation x1+x2+ ...+xk+c =xk+1. 2047-2064 - Ghaith A. Hiary:

A deterministic algorithm for integer factorization. 2065-2069
Volume 85, Number 301, 2016
- Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis:

On the accuracy of finite element approximations to a class of interface problems. 2071-2098 - Alexandre Ern, Friedhelm Schieweck:

Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs. 2099-2129 - Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu

:
Convergence of discontinuous Galerkin schemes for front propagation with obstacles. 2131-2159 - Kohei Soga:

More on stochastic and variational approach to the Lax-Friedrichs scheme. 2161-2193 - Georgios Akrivis, Emmanuil Katsoprinakis:

Backward difference formulae: New multipliers and stability properties for parabolic equations. 2195-2216 - Georgios Akrivis:

Stability properties of implicit-explicit multistep methods for a class of nonlinear parabolic equations. 2217-2229 - Wenbin Chen

, Yuan Liu, Cheng Wang, Steven M. Wise
:
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation. 2231-2257 - Ioan Florin Bugariu, Sorin Micu

, Ionel Roventa:
Approximation of the controls for the beam equation with vanishing viscosity. 2259-2303 - Frédéric Coquel, Edwige Godlewski, Khalil Haddaoui, Claude Marmignon, Florent Renac:

Choice of measure source terms in interface coupling for a model problem in gas dynamics. 2305-2339 - Tianyu Qiu, Francisco-Javier Sayas:

The Costabel-Stephan system of boundary integral equations in the time domain. 2341-2364 - G. Murali Mohan Reddy, Rajen Kumar Sinha:

On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations. 2365-2390 - Yuji Nakatsukasa

, Vanni Noferini
:
On the stability of computing polynomial roots via confederate linearizations. 2391-2425 - Froilán M. Dopico, Javier González, Daniel Kressner, Valeria Simoncini:

Projection methods for large-scale T-Sylvester equations. 2427-2455 - Martin Sauer, Wilhelm Stannat

:
Analysis and approximation of stochastic nerve axon equations. 2457-2481 - Jan Büthe:

Estimating π(x) and related functions under partial RH assumptions. 2483-2498 - Hao Chen:

Computing the Mazur and Swinnerton-Dyer critical subgroup of elliptic curves. 2499-2514 - Eric Jespers

, Ann Kiefer
, Ángel del Río:
Presentations of groups acting discontinuously on direct products of hyperbolic spaces. 2515-2552 - Jean Fromentin

, Florent Hivert:
Exploring the tree of numerical semigroups. 2553-2568 - William D. Banks

, Igor E. Shparlinski
:
On Gauss sums and the evaluation of Stechkin's constant. 2569-2581
Volume 85, Number 302, 2016
- Long Chen, Ricardo H. Nochetto, Enrique Otárola

, Abner J. Salgado
:
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. 2583-2607 - Bernardo Cockburn

, Alan Demlow:
Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces. 2609-2638 - Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas:

Discrete extension operators for mixed finite element spaces on locally refined meshes. 2639-2650 - Martin Campos Pinto

, Eric Sonnendrücker:
Gauss-compatible Galerkin schemes for time-dependent Maxwell equations. 2651-2685 - Zhiming Chen, Xueshuang Xiang, Xiaohui Zhang:

Convergence of the PML method for elastic wave scattering problems. 2687-2714 - Yanlai Chen

, Bernardo Cockburn
, Bo Dong:
Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension. 2715-2742 - Jean-David Benamou, Francis Collino, Jean-Marie Mirebeau:

Monotone and consistent discretization of the Monge-Ampère operator. 2743-2775 - Caroline Bauzet, Julia Charrier, Thierry Gallouët:

Convergence of flux-splitting finite volume schemes for hyperbolic scalar conservation laws with a multiplicative stochastic perturbation. 2777-2813 - Emmanuel Audusse, François Bouchut

, Marie-Odile Bristeau, Jacques Sainte-Marie:
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. 2815-2837 - Mario Bebendorf, Matthias Bollhöfer

, M. Bratsch:
On the spectral equivalence of hierarchical matrix preconditioners for elliptic problems. 2839-2861 - Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang:

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. 2863-2885 - Daniel B. Szyld, Fei Xue:

Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues. 2887-2918 - Jingrun Chen, Jianfeng Lu

:
Analysis of the divide-and-conquer method for electronic structure calculations. 2919-2938 - Nicholas I. M. Gould

, Christoph Ortner
, D. Packwood:
A dimer-type saddle search algorithm with preconditioning and linesearch. 2939-2966 - Cormac O'Sullivan:

Zeros of the dilogarithm. 2967-2993 - Kalle Leppälä:

Explicit lower bounds for linear forms. 2995-3008 - David J. Platt

:
Numerical computations concerning the GRH. 3009-3027 - Evelyne Hubert, George Labahn:

Computation of invariants of finite abelian groups. 3029-3050 - Michaël Rao, Matthieu Rosenfeld

:
Avoidability of long k-abelian repetitions. 3051-3060 - Vladica Andrejic

, Milos Tatarevic:
Searching for a counterexample to Kurepa's conjecture. 3061-3068

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