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A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems

Thirupathi Gudi and Kamana Porwal.
Math. Comp.
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Commuting diagrams for the TNT elements on cubes

Bernardo Cockburn and Weifeng Qiu.
Math. Comp.
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Computing canonical heights using arithmetic intersection theory

Jan Steffen Müller.
Math. Comp.
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On elliptic curves whose conductor is a product of two prime powers

Mohammad Sadek.
Math. Comp.
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On the construction of Dirichlet series approximations for completely monotone functions

R. J. Loy and R. S. Anderssen.
Math. Comp.
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The Fermat-type equations $x^{5} + y^{5} = 2z^{p}$ or $3z^{p}$ solved through $\mathbb{Q}$-curves

Luis Dieulefait and Nuno Freitas.
Math. Comp.
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An inverse random source problem for the Helmholtz equation

Gang Bao, Shui-Nee Chow, Peijun Li and Haomin Zhou.
Math. Comp.
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Numerical treatment of a class of systems of Fredholm integral equations on the real line

M. C. De Bonis and G. Mastroianni.
Math. Comp.
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Lower bounds of the discretization error for piecewise polynomials

Qun Lin, Hehu Xie and Jinchao Xu.
Math. Comp.
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Numerical differentiation by integration

Xiaowei Huang, Chuansheng Wu and Jun Zhou.
Math. Comp.
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An analysis of the practical DPG method

J. Gopalakrishnan and W. Qiu.
Math. Comp.
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Writing units of integral group rings of finite abelian groups as a product of Bass units

Eric Jespers, Ángel del Río and Inneke Van Gelder.
Math. Comp.
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An evaluation of the integral of the product of the error function and the normal probability density with application to the bivariate normal integral

Hatem A. Fayed and Amir F. Atiya.
Math. Comp.
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Taking roots over high extensions of finite fields

Javad Doliskani and Éric Schost.
Math. Comp.
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Improved results on the Mertens conjecture

Yannick Saouter and Herman te Riele.
Math. Comp.
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Second $p$-descents on elliptic curves

Brendan Creutz.
Math. Comp.
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Automatic evaluations of cross-derivatives

Andreas Griewank, Lutz Lehmann, Hernan Leovey and Marat Zilberman.
Math. Comp.
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Computing Igusa class polynomials

Marco Streng.
Math. Comp.
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A fast algorithm for approximating the ground state energy on a quantum computer

A. Papageorgiou, I. Petras, J. F. Traub and C. Zhang.
Math. Comp.
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Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes

Yanlai Chen and Bernardo Cockburn.
Math. Comp.
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Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices

Froilán M. Dopico, Vadim Olshevsky and Pavel Zhlobich.
Math. Comp.
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Generalised Mersenne numbers revisited

Robert Granger and Andrew Moss.
Math. Comp.
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A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models

Qiang Du, Lili Ju, Li Tian and Kun Zhou.
Math. Comp.
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Faster deterministic integer factorization

Edgar Costa and David Harvey.
Math. Comp.
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Minimal polynomials of singular moduli

Eric Errthum.
Math. Comp.
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An efficient deterministic test for Kloosterman sum zeros

Omran Ahmadi and Robert Granger.
Math. Comp.
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Fundamental invariants for the action of $SL_{3}(\mathbb{C}) ×SL_{3}(\mathbb{C}) ×SL_{3}(\mathbb{C})$ on $3 ×3 ×3$ arrays

Murray R. Bremner and Jiaxiong Hu.
Math. Comp.
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Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems

Liyong Zhu and Qiang Du.
Math. Comp.
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A dual split Bregman method for fast $ℓ^{1}$ minimization

Yi Yang, Michael Möller and Stanley Osher.
Math. Comp.
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Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations

Eskil Hansen and Tony Stillfjord.
Math. Comp.
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Computational aspects of Cui-Freeden statistics for equidistribution on the sphere

Christine Choirat and Raffaello Seri.
Math. Comp.
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Accelerating Dougall’s $_{5}F_{4}$-sum and infinite series involving $𝜋$

Wenchang Chu and Wenlong Zhang.
Math. Comp.
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Möbius inversion formulae for Apostol-Bernoulli type polynomials and numbers

A. Bayad and J. Chikhi.
Math. Comp.
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Constructively well-posed approximation methods with unity inf–sup and continuity constants for partial differential equations

Tan Bui-Thanh, Leszek Demkowicz and Omar Ghattas.
Math. Comp.
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Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice

C. Ortner and A. V. Shapeev.
Math. Comp.
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A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels

Kassem Mustapha.
Math. Comp.
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Piecewise tensor product wavelet bases by extensions and approximation rates

Nabi Chegini, Stephan Dahlke, Ulrich Friedrich and Rob Stevenson.
Math. Comp.
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The structure of matrices in rational Gauss quadrature

Carl Jagels and Lothar Reichel.
Math. Comp.
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The second order spectrum and optimal convergence

Michael Strauss.
Math. Comp.
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First order $k$-th moment finite element analysis of nonlinear operator equations with stochastic data

Alexey Chernov and Christoph Schwab.
Math. Comp.
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Algorithmic proof of the epsilon constant conjecture

Werner Bley and Ruben Debeerst.
Math. Comp.
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Errata to “On the largest prime factor of $x^{2}-1$”

Florian Luca and Filip Najman.
Math. Comp.
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A minimax method for finding saddle critical points of upper semi-differentiable locally Lipschitz continuous functional in Hilbert space and its convergence

Xudong Yao.
Math. Comp.
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An Extension of the Floater–Hormann Family of Barycentric Rational Interpolants

Georges Klein.
Math. Comp.
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A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations

Ross Ingram.
Math. Comp.
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Perfect repdigits

Kevin Broughan, Sergio Guzman Sanchez and Florian Luca.
Math. Comp.
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An algorithm to compute relative cubic fields

Anna Morra.
Math. Comp.
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On the log-concavity of a Jacobi theta function

Mark W. Coffey and George Csordas.
Math. Comp.
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A new variant of the Hilbert-Waring problem

Tianxin Cai and Deyi Chen.
Math. Comp.
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Further analysis of Kahan’s algorithm for the accurate computation of $2×2$ determinants

Claude-Pierre Jeannerod, Nicolas Louvet and Jean-Michel Muller.
Math. Comp.
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Homotopy groups of suspended classifying spaces: An experimental approach

Ana Romero and Julio Rubio.
Math. Comp.
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