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ORCIDMathematics of Computation, Volume 82
Volume 82, Number 281, 2013
- Gerhard Dziuk, Charles M. Elliott
:
L2-estimates for the evolving surface finite element method. 1-24 - Ming Wang, Jinchao Xu:
Minimal finite element spaces for 2m-th-order partial differential equations in Rn. 25-43 - Georgios Akrivis:
Implicit-explicit multistep methods for nonlinear parabolic equations. 45-68 - Wei Gong:
Error estimates for finite element approximations of parabolic equations with measure data. 69-98 - Weizhu Bao, Yongyong Cai:
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation. 99-128 - Nikolaos Sfakianakis:
Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound. 129-151 - Hao Gao, Hongkai Zhao:
Analysis of a numerical solver for radiative transport equation. 153-172 - Helge Holden, Christian Lubich, Nils Henrik Risebro:
Operator splitting for partial differential equations with Burgers nonlinearity. 173-185 - Bernardo Cockburn, Ivan Merev, Jianliang Qian:
Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations. 187-212 - Houde Han, Zhongyi Huang:
Tailored finite point method based on exponential bases for convection-diffusion-reaction equation. 213-226 - Holger Wendland:
A high-order approximation method for semilinear parabolic equations on spheres. 227-245 - Ralf Hiptmair, Andrea Moiola, Ilaria Perugia:
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. 247-268 - Martin Burger, Michael Möller, Martin Benning, Stanley J. Osher:
An adaptive inverse scale space method for compressed sensing. 269-299 - Junfeng Yang, Xiaoming Yuan:
Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization. 301-329 - Yaron Lipman, Jesús Puente, Ingrid Daubechies:
Conformal Wasserstein distance: II. computational aspects and extensions. 331-381 - Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of integration in Rd and the ANOVA decomposition. 383-400 - Youming Liu, Junjian Zhao:
An extension of Bittner and Urban's theorem. 401-411 - Ben-yu Guo, Tao Sun, Chao Zhang:
Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. 413-441 - Béla Bollobás, Malte Lackmann, Dierk Schleicher:
A small probabilistic universal set of starting points for finding roots of complex polynomials by Newton's method. 443-457 - Bin Han, Xiaosheng Zhuang:
Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields. 459-490 - Reza Rezaeian Farashahi, Pierre-Alain Fouque, Igor E. Shparlinski, Mehdi Tibouchi, José Felipe Voloch:
Indifferentiable deterministic hashing to elliptic and hyperelliptic curves. 491-512 - Robert L. Miller, Michael Stoll:
Explicit isogeny descent on elliptic curves. 513-529 - Takafumi Shibuta:
Irreducibility criterion for algebroid curves. 531-554 - Koray Karabina:
Squaring in cyclotomic subgroups. 555-579 - Sorina Ionica, Antoine Joux:
Pairing the volcano. 581-603 - Anderson Novaes Martinhão, Emerson L. Monte Carmelo:
Short covering codes arising from matchings in weighted graphs. 605-616 - Yong Zhang, Tianxin Cai:
n-tuples of positive integers with the same sum and the same product. 617-623
Volume 82, Number 282, 2013
- Alan Demlow, Stig Larsson:
Local pointwise a posteriori gradient error bounds for the Stokes equations. 625-649 - Bernardo Cockburn, Ke Shi:
Conditions for superconvergence of HDG methods for Stokes flow. 651-671 - S. Bidwell, M. E. Hassell, C. R. Westphal:
A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients. 673-688 - D. C. Antonopoulos, Vassilios A. Dougalis:
Error estimates for Galerkin approximations of the "classical" Boussinesq system. 689-717 - Helge Holden, Kenneth H. Karlsen, Trygve K. Karper:
Operator splitting for two-dimensional incompressible fluid equations. 719-748 - Shi Jin, Jian-Guo Liu, Li Wang:
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations. 749-779 - Bengt Hakberg:
A discrete KPP-theory for Fisher's equation. 781-802 - Samuel K. M. Chenoweth, Julio Soria, Andrew Ooi:
An improved interpolation scheme for finite volume simulations on unstructured meshes. 803-830 - Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault:
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. 831-860 - Vladimir Molchanov, Marcel Oliver:
Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow. 861-891 - Alexander Dick, Othmar Koch, Roswitha März, Ewa Weinmüller:
Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. 893-918 - Hailiang Liu, Olof Runborg, Nicolay M. Tanushev:
Error estimates for Gaussian beam superpositions. 919-952 - Volodymyr L. Makarov, Denys Dragunov, Ya. V. Klimenko:
The FD-method for solving Sturm-Liouville problems with special singular differential operator. 953-973 - Michael Griebel, Helmut Harbrecht:
On the construction of sparse tensor product spaces. 975-994 - Yong Zhang, Bin Dong, Zhaosong Lu:
ℓ0 Minimization for wavelet frame based image restoration. 995-1015 - Ziqing Xie, Li-Lian Wang, Xiaodan Zhao:
On exponential convergence of Gegenbauer interpolation and spectral differentiation. 1017-1036 - Miodrag M. Spalevic:
Error bounds of Gaussian quadrature formulae for one class of Bernstein-Szegő weights. 1037-1056 - Kenier Castillo, Francisco Marcellán:
Generators of rational spectral transformations for nontrivial C-functions. 1057-1068 - Iván Area, Dimitar K. Dimitrov, Eduardo Godoy, Vanessa G. Paschoa:
Zeros of classical orthogonal polynomials of a discrete variable. 1069-1095 - Stamatis Koumandos, Martin Lamprecht:
Complete monotonicity and related properties of some special functions. 1097-1120 - Timothy Caley:
The Prouhet-Tarry-Escott problem for Gaussian integers. 1121-1137 - Daniel J. Bernstein, Peter Birkner, Tanja Lange, Christiane Peters:
ECM using Edwards curves. 1139-1179 - Steven D. Galbraith, John M. Pollard, Raminder S. Ruprai:
Computing discrete logarithms in an interval. 1181-1195 - Kevin G. Hare, Maysum Panju:
Some comments on Garsia numbers. 1197-1221 - Xavier Guitart, Marc Masdeu:
Continued fractionsin 2-stage Euclidean quadratic fields. 1223-1233 - Guillaume Melquiond, W. Georg Nowak, Paul Zimmermann:
Numerical approximation of The Masser-Gramain constant to four decimal digits: δ = 1.819.... 1235-1246
Volume 82, Number 283, 2013
- Adrian Hirn:
Finite element approximation of singular power-law systems. 1247-1268 - Xiaobing Feng, Yulong Xing:
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. 1269-1296 - Sangita Yadav, Amiya Kumar Pani, Eun-Jae Park:
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. 1297-1335 - Chuanmiao Chen, Shufang Hu:
The highest order superconvergence for bi-k degree rectangular elements at nodes: A proof of 2k-conjecture. 1337-1355 - Traian Iliescu, Zhu Wang:
Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations. 1357-1378 - Paola F. Antonietti, Lourenço Beirão da Veiga, Marco Verani:
A mimetic discretization of elliptic obstacle problems. 1379-1400 - Jerry L. Bona, Hongqiu Chen, Ohannes A. Karakashian, Yulong Xing:
Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. 1401-1432 - Kristian Debrabant, Espen R. Jakobsen:
Semi-Lagrangian schemes for linear and fully non-linear diffusion equations. 1433-1462 - Nicolai V. Krylov:
Interior estimates for second-order differences of solutions of finite-difference elliptic Bellman's equations. 1463-1487 - Simone Cifani, Espen R. Jakobsen:
On the spectral vanishing viscosity method for periodic fractional conservation laws. 1489-1514 - Claude Jeffrey Gittelson:
An adaptive stochastic Galerkin method for random elliptic operators. 1515-1541 - Yoshitaka Watanabe, Takehiko Kinoshita, Mitsuhiro T. Nakao:
A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations. 1543-1557 - Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua:
Optimized high-order splitting methods for some classes of parabolic equations. 1559-1576 - Jungong Xue, Qiang Ye:
Computing exponentials of essentially non-negative matrices entrywise to high relative accuracy. 1577-1596 - Xiaoji Liu, Shuxia Wu, Dragana S. Cvetkovic-Ilic:
New results on reverse order law for {1, 2, 3}- and {1, 2, 4}-inverses of bounded operators. 1597-1607 - Shuai Lu, Peter Mathé:
Heuristic parameter selection based on functional minimization: Optimality and model function approach. 1609-1630 - Shidong Jiang, Zhi Liang, Jingfang Huang:
A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions. 1631-1645 - Qinian Jin:
Further convergence results on the general iteratively regularized Gauss-Newton methods under the discrepancy principle. 1647-1665 - Elaine Cohen, Tom Lyche, Richard F. Riesenfeld:
A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines. 1667-1707 - Radoslaw Szmytkowski:
Erratum to "Formulas and Theorems for the Special Functions of Mathematical Physics" by W. Magnus, F. Oberhettinger, R. P. Soni. 1709-1710 - Peter Bruin:
Computing in Picard groups of projective curves over finite fields. 1711-1756 - William Stein, Christian Wüthrich:
Algorithms for the arithmetic of elliptic curves using Iwasawa theory. 1757-1792 - Guillaume Chèze:
A recombination algorithm for the decomposition of multivariate rational functions. 1793-1812 - Manuel Delgado, José Ignacio Farrán, Pedro A. García-Sánchez, David Llena:
On the generalized Feng-Rao numbers of numerical semigroups generated by intervals. 1813-1836 - Johan Sejr Brinch Nielsen, Jakob Grue Simonsen:
An experimental investigation of the normality of irrational algebraic numbers. 1837-1858
Volume 82, Number 284, 2013
- Alexey Chernov, Christoph Schwab:
First order k-th moment finite element analysis of nonlinear operator equations with stochastic data. 1859-1888 - Qiang Du, Lili Ju, Li Tian, Kun Zhou:
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. 1889-1922 - Tan Bui-Thanh, Leszek F. Demkowicz, Omar Ghattas:
Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. 1923-1952 - Ross Ingram:
A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations. 1953-1973 - Eskil Hansen, Tony Stillfjord:
Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations. 1975-1985 - Kassem Mustapha:
A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels. 1987-2005 - Froilán M. Dopico, Vadim Olshevsky, Pavel Zhlobich:
Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. 2007-2034 - Carl Jagels, Lothar Reichel:
The structure of matrices in rational Gauss quadrature. 2035-2060 - Yi Yang, Michael Möller, Stanley J. Osher:
A dual split Bregman method for fast ℓ1 minimization. 2061-2085 - Xudong Yao:
A minimax method for finding saddle critical points of upper semi-differentiable locally Lipschitz continuous functional in Hilbert space and its convergence. 2087-2136 - Christine Choirat, Raffaello Seri:
Computational aspects of Cui-Freeden statistics for equidistribution on the sphere. 2137-2156 - Nabi Chegini, Stephan Dahlke, Ulrich Friedrich, Rob Stevenson:
Piecewise tensor product wavelet bases by extensions and approximation rates. 2157-2190 - Christoph Ortner, Alexander V. Shapeev:
Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice. 2191-2236 - Ana Romero, Julio Rubio:
Homotopy groups of suspended classifying spaces: An experimental approach. 2237-2244 - Claude-Pierre Jeannerod, Nicolas Louvet, Jean-Michel Muller:
Further analysis of Kahan's algorithm for the accurate computation of 2×2 determinants. 2245-2264 - Mark W. Coffey, George Csordas:
On the log-concavity of a Jacobi theta function. 2265-2272 - Georges Klein:
An Extension of the Floater-Hormann Family of Barycentric Rational Interpolants. 2273-2292 - Anargyros Papageorgiou, Iasonas Petras, Joseph F. Traub, Chi Zhang:
A fast algorithm for approximating the ground state energy on a quantum computer. 2293-2304 - Michael Strauß:
The second order spectrum and optimal convergence. 2305-2325 - Abdelmejid Bayad, Jamel Chikhi:
Möbius inversion formulae for Apostol-Bernoulli type polynomials and numbers. 2327-2332 - Tianxin Cai, Deyi Chen:
A new variant of the Hilbert-Waring problem. 2333-2341 - Anna Morra:
An algorithm to compute relative cubic fields. 2343-2361 - Werner Bley, Ruben Debeerst:
Algorithmic proof of the epsilon constant conjecture. 2363-2387 - Robert Granger, Andrew Moss:
Generalised Mersenne numbers revisited. 2389-2420 - Murray R. Bremner, Jiaxiong Hu:
Fundamental invariants for the action of SL3(ℂ) × SL3(ℂ) × SL3(ℂ) on 3 ×3 ×3 arrays. 2421-2438 - Kevin A. Broughan, Sergio Guzman Sanchez, Florian Luca:
Perfect repdigits. 2439-2459
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