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ORCIDMathematics of Computation, Volume 83
Volume 83, Number 285, 2014
- Qun Lin, Hehu Xie, Jinchao Xu:
Lower bounds of the discretization error for piecewise polynomials. 1-13 - Johnny Guzmán, Michael Neilan
:
Conforming and divergence-free Stokes elements on general triangular meshes. 15-36 - Liyong Zhu, Qiang Du:
Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems. 37-64 - Bernardo Cockburn, Vincent Quenneville-Bélair:
Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation. 65-85 - Yanlai Chen, Bernardo Cockburn:
Analysis of variable-degree HDG methods for Convection-Diffusion equations. Part II: Semimatching nonconforming meshes. 87-111 - Nune Hovhannisyan, Siegfried Müller, Roland Schäfer:
Adaptive multiresolution discontinuous Galerkin schemes for conservation laws. 113-151 - Clément Cancès, Iuliu Sorin Pop, Martin Vohralík:
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. 153-188 - Olivier Verdier:
Reductions of operator pencils. 189-214 - Gang Bao, Shui-Nee Chow, Peijun Li, Haomin Zhou:
An inverse random source problem for the Helmholtz equation. 215-233 - Hatem A. Fayed, Amir F. Atiya:
An evaluation of the integral of the product of the error function and the normal probability density with application to the bivariate normal integral. 235-250 - Andreas Griewank, Lutz Lehmann, Hernan Leovey, Marat Zilberman:
Automatic evaluations of cross-derivatives. 251-274 - Marco Streng:
Computing Igusa class polynomials. 275-309 - Jan Steffen Müller:
Computing canonical heights using arithmetic intersection theory. 311-336 - Florian Luca, Filip Najman:
Errata to "On the largest prime factor of x2-1". 337 - Edgar Costa, David Harvey:
Faster deterministic integer factorization. 339-345 - Omran Ahmadi, Robert Granger:
An efficient deterministic test for Kloosterman sum zeros. 347-363 - Brendan Creutz:
Second p-descents on elliptic curves. 365-409 - Eric Errthum:
Minimal polynomials of singular moduli. 411-420 - Yannick Saouter, Herman te Riele:
Improved results on the Mertens conjecture. 421-433 - Javad Doliskani, Éric Schost:
Taking roots over high extensions of finite fields. 435-446 - Mohammad Sadek:
On elliptic curves whose conductor is a product of two prime powers. 447-460 - Eric Jespers, Ángel del Río, Inneke Van Gelder:
Writing units of integral group rings of finite abelian groups as a product of Bass units. 461-473 - Wenchang Chu, Wenlong Zhang:
Accelerating Dougall's 5F4-sum and infinite series involving π. 475-512
Volume 83, Number 286, 2014
- Assyr Abdulle, Gilles Vilmart:
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems. 513-536 - Jay Gopalakrishnan, Weifeng Qiu:
An analysis of the practical DPG method. 537-552 - Rodolfo Rodríguez, Pablo Venegas:
Numerical approximation of the spectrum of the curl operator. 553-577 - Thirupathi Gudi, Kamana Porwal:
A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems. 579-602 - Bernardo Cockburn, Weifeng Qiu:
Commuting diagrams for the TNT elements on cubes. 603-633 - Huiqing Zhu, Zhimin Zhang:
Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer. 635-663 - Bernardo Cockburn, Weifeng Qiu, Manuel E. Solano:
A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity. 665-699 - Huoyuan Duan:
A finite element method for Reissner-Mindlin plates. 701-733 - Da Xu:
Uniform l1 convergence in the Crank-Nicolson method of a linear integro-differential equation for viscoelastic rods and plates. 735-769 - Maria Carmela De Bonis, Giuseppe Mastroianni:
Numerical treatment of a class of systems of Fredholm integral equations on the real line. 771-788 - Xiaowei Huang, Chuansheng Wu, Jun Zhou:
Numerical differentiation by integration. 789-807 - Oleg Davydov, Jennifer Prasiswa, Ulrich Reif:
Two-stage approximation methods with extended B-splines. 809-833 - R. J. Loy, Robert S. Anderssen:
On the construction of Dirichlet series approximations for completely monotone functions. 835-846 - Bernard Mourrain:
On the dimension of spline spaces on planar T-meshes. 847-871 - Bernd Bank, Marc Giusti, Joos Heintz:
Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity. 873-897 - W. R. Alford, Jon Grantham, Steven Hayman, Andrew Shallue:
Constructing Carmichael numbers through improved subset-product algorithms. 899-915 - Luis Dieulefait, Nuno Freitas:
The Fermat-type equations x5 + y5 = 2zp or 3zp solved through ℚ-curves. 917-933 - Mark Velichka, Michael J. Jacobson Jr., Andreas Stein:
Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. 935-963 - Ulrich Derenthal, Andreas-Stephan Elsenhans, Jörg Jahnel:
On the factor alpha in Peyre's constant. 965-977 - Harri Haanpää, Patric R. J. Östergård:
Counting Hamiltonian cycles in bipartite graphs. 979-995 - Terence Tao:
Every odd number greater than 1 is the sum of at most five primes. 997-1038
Volume 83, Number 287, 2014
- Andrea Bonito, Jean-Luc Guermond, Bojan Popov:
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. 1039-1062 - Bernardo Cockburn, Wujun Zhang:
An a posteriori error estimate for the variable-degree Raviart-Thomas method. 1063-1082 - Blanca Ayuso de Dios, Michael J. Holst, Yunrong Zhu, Ludmil T. Zikatanov:
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. 1083-1120 - Afaf Bouharguane, Rémi Carles:
Splitting methods for the nonlocal Fowler equation. 1121-1141 - Shaohua Pan, Sangho Kum, Yongdo Lim, Jein-Shan Chen:
On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem. 1143-1171 - Jinyan Fan:
Accelerating the modified Levenberg-Marquardt method for nonlinear equations. 1173-1187 - Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces. 1189-1206 - Gradimir V. Milovanovic, Miodrag M. Spalevic:
Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients. 1207-1231 - Makoto Matsumoto, Mutsuo Saito, Kyle Matoba:
A computable figure of merit for quasi-Monte Carlo point sets. 1233-1250 - Masanori Sawa, Yuan Xu:
On positive cubature rules on the simplex and isometric embeddings. 1251-1277 - Irénée Briquel, Felipe Cucker, Javier Peña, Vera Roshchina:
Fast computation of zeros of polynomial systems with bounded degree under finite-precision. 1279-1317 - Grzegorz W. Wasilkowski:
Average case tractability of approximating ∞-variate functions. 1319-1336 - Hal Schenck, Alexandra Seceleanu, Javid Validashti:
Syzygies and singularities of tensor product surfaces of bidegree (2, 1). 1337-1372 - Christoph Aistleitner, Markus Hofer:
Probabilistic discrepancy bound for Monte Carlo point sets. 1373-1381 - Mark W. Coffey:
Series representation of the Riemann zeta function and other results: Complements to a paper of Crandall. 1383-1395 - Pierre Lezowski:
Computation of the Euclidean minimum of algebraic number fields. 1397-1426 - Masaaki Harada, Tsuyoshi Miezaki:
On the existence of extremal Type II ℤ2k-codes. 1427-1446 - Kevin Ford, Florian Luca, Pieter Moree:
Values of the Euler Φ-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields. 1447-1476 - Aristides Kontogeorgis:
Constructing class invariants. 1477-1488 - Gabriele Nebe, Richard Parker:
On extremal even unimodular 72-dimensional lattices. 1489-1494 - Lajos Hajdu, Volker Ziegler:
Distinct unit generated totally complex quartic fields. 1495-1512 - Enric Nart:
Local computation of differents and discriminants. 1513-1534 - Domingo Gómez-Pérez, Alina Ostafe, Igor E. Shparlinski:
Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators. 1535-1550
Volume 83, Number 288, 2014
- Douglas N. Arnold, Gerard Awanou:
Finite element differential forms on cubical meshes. 1551-1570 - Bernardo Cockburn, Francisco-Javier Sayas:
Divergence-conforming HDG methods for Stokes flows. 1571-1598 - Karsten Urban, Anthony T. Patera:
An improved error bound for reduced basis approximation of linear parabolic problems. 1599-1615 - Yanzhao Cao, Max D. Gunzburger, Xiaoming He, Xiaoming Wang:
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. 1617-1644 - Claudio Canuto, Ricardo H. Nochetto, Marco Verani:
Adaptive Fourier-Galerkin methods. 1645-1687 - Elena Celledoni, Brynjulf Owren, Yajuan Sun:
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method. 1689-1700 - Lei-Hong Zhang, Wei Hong Yang:
An efficient algorithm for second-order cone linear complementarity problems. 1701-1726 - Peng Zhang, Yu-Xiang Gao, Janet Fierson, Yuefan Deng:
Eigenanalysis-based task mapping on parallel computers with cellular networks. 1727-1756 - Markos A. Katsoulakis, Petr Plechác, Luc Rey-Bellet, Dimitrios K. Tsagkarogiannis:
Coarse-graining schemes for stochastic lattice systems with short and long-range interactions. 1757-1793 - David H. Bailey, Jonathan M. Borwein, Richard E. Crandall:
Computation and theory of extended Mordell-Tornheim-Witten sums. 1795-1821 - Caroline Kalla, Christian Klein:
Computation of the topological type of a real Riemann surface. 1823-1846 - Bo Dong, Bo Yu, Yan Yu:
A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems. 1847-1868 - Philip J. Aston, Oliver Junge:
Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis. 1869-1902 - Carl Pomerance, Hee-Sung Yang:
Variant of a theorem of Erdős on the sum-of-proper-divisors function. 1903-1913 - Maciej Ulas:
On some Diophantine systems involving symmetric polynomials. 1915-1930 - Lassina Dembélé:
On the computation of algebraic modular forms on compact inner forms of GSp4. 1931-1950 - Valéry Mahé:
Prime power terms in elliptic divisibility sequences. 1951-1991 - Minkyu Kim, Jung Hee Cheon, In-Sok Lee:
Analysis on a generalized algorithm for the strong discrete logarithm problem with auxiliary inputs. 1993-2004 - Jean-François Biasse:
An L(1/3) algorithm for ideal class group and regulator computation in certain number fields. 2005-2031 - Tomás Oliveira e Silva, Siegfried Herzog, Silvio Pardi:
Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅1018. 2033-2060
Volume 83, Number 289, 2014
- Natalia Kopteva:
Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations. 2061-2070 - Jan Giesselmann, Charalambos G. Makridakis, Tristan Pryer:
Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system. 2071-2099 - Junping Wang, Xiu Ye:
A weak Galerkin mixed finite element method for second order elliptic problems. 2101-2126 - Fernando D. Gaspoz, Pedro Morin:
Approximation classes for adaptive higher order finite element approximation. 2127-2160 - Jie Chen, Desheng Wang, Qiang Du:
Linear finite element superconvergence on simplicial meshes. 2161-2185 - Lennard Kamenski, Weizhang Huang, Hongguo Xu:
Conditioning of finite element equations with arbitrary anisotropic meshes. 2187-2211 - Zhengfu Xu:
Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem. 2213-2238 - Liangyue Ji, Paulien van Slingerland, Jennifer K. Ryan, Kees Vuik:
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions. 2239-2262 - Deren Han, Xiaoming Yuan, Wenxing Zhang:
An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. 2263-2291 - Arturo Kohatsu-Higa, Salvador Ortiz-Latorre, Peter Tankov:
Optimal simulation schemes for Lévy driven stochastic differential equations. 2293-2324 - Mihály Kovács, Jacques Printems:
Strong order of convergence of a fully discrete approximation of a linear stochastic Volterra type evolution equation. 2325-2346 - Ying Jiang, Yuesheng Xu:
Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids. 2347-2384 - Hatem A. Fayed, Amir F. Atiya:
A novel series expansion for the multivariate normal probability integrals based on Fourier series. 2385-2402 - Burhan A. Sadiq, Divakar Viswanath:
Finite difference weights, spectral differentiation, and superconvergence. 2403-2427 - San Ling, Igor E. Shparlinski, Huaxiong Wang:
On the Multidimensional Distribution of the Naor-Reingold Pseudo-Random Function. 2429-2434 - Pascal Ochem, Michaël Rao:
On the number of prime factors of an odd perfect number. 2435-2439 - Benjamin D. Sokolowsky, Amy G. VanHooft, Rachel M. Volkert, Clifford A. Reiter:
An infinite family of perfect parallelepipeds. 2441-2454 - Simon Rubinstein-Salzedo:
Period computations for covers of elliptic curves. 2455-2470 - David Harvey:
A subquadratic algorithm for computing the n-th Bernoulli number. 2471-2477 - Ariel Pacetti, Nicolás Sirolli:
Computing ideal classes representatives in quaternion algebras. 2479-2507 - Willem A. de Graaf, Francesco Oriente:
Classifying semisimple orbits of η-groups. 2509-2526 - Dennis Moore, Uwe Nagel:
Algorithms for strongly stable ideals. 2527-2552 - Chris Aholt, Luke Oeding:
The ideal of the trifocal variety. 2553-2574 - Samuel J. Dittmer:
Spoof odd perfect numbers. 2575-2582
Volume 83, Number 290, 2014
- Axel Målqvist, Daniel Peterseim:
Localization of elliptic multiscale problems. 2583-2603 - Carsten Carstensen, Joscha Gedicke:
Guaranteed lower bounds for eigenvalues. 2605-2629 - Richard S. Falk, Ragnar Winther:
Local bounded cochain projections. 2631-2656 - Daniel Peterseim:
Composite finite elements for elliptic interface problems. 2657-2674 - Martin Stynes:
Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements. 2675-2689 - Alexander Rand, Andrew Gillette, Chandrajit L. Bajaj:
Quadratic serendipity finite elements on polygons using generalized barycentric coordinates. 2691-2716 - Kenneth H. Karlsen, Nils Henrik Risebro, Erlend B. Storrøsten:
L1 error estimates for difference approximations of degenerate convection-diffusion equations. 2717-2762 - Matthew F. Causley, Andrew J. Christlieb, Benjamin W. Ong, Lee Van Groningen:
Method of lines transpose: An implicit solution to the wave equation. 2763-2786 - Petr N. Vabishchevich:
Additive schemes (splitting schemes) for some systems of evolutionary equations. 2787-2797 - Sharif Rahman:
Approximation errors in truncated dimensional decompositions. 2799-2819 - Johann S. Brauchart, Edward B. Saff, Ian H. Sloan, Robert S. Womersley:
QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere. 2821-2851 - Aicke Hinrichs, Erich Novak, Mario Ullrich, Henryk Wozniakowski:
The curse of dimensionality for numerical integration of smooth functions. 2853-2863 - Charles K. Chui, Hrushikesh Narhar Mhaskar:
Smooth function extension based on high dimensional unstructured data. 2865-2891 - Haiyong Wang, Daan Huybrechs, Stefan Vandewalle:
Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. 2893-2914 - Yupeng Jiang, Yingpu Deng:
Strong pseudoprimes to the first eight prime bases. 2915-2924 - David Corwin, Tony Feng, Zane Kun Li, Sarah Trebat-Leder:
Elliptic curves with full 2-torsion and maximal adelic Galois representations. 2925-2951 - Domingo Gómez, Jaime Gutierrez:
Recovering zeros of polynomials modulo a prime. 2953-2965 - Romeo Mestrovic:
A search for primes p such that the Euler number Ep-3 is divisible by p. 2967-2976 - Reinier Bröker, Kristin E. Lauter:
Evaluating Igusa functions. 2977-2999 - San Ling, Enver Ozdemir, Chaoping Xing:
A relation between embedding degrees and class numbers of binary quadratic forms. 3001-3004 - Josef Schicho, David Sevilla:
Tschirnhaus-Weierstrass curves. 3005-3015 - Wouter Castryck, Robert Laterveer, Myriam Ounaïes:
Constraints on counterexamples to the Casas-Alvero conjecture and a verification in degree 12. 3017-3037 - Lejla Smajlovic, Jay Jorgenson, Holger Then:
On the distribution of eigenvalues of Maass forms on certain moonshine groups. 3039-3070 - Edgar Costa, Robert Gerbicz, David Harvey:
A search for Wilson primes. 3071-3091
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