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ORCIDSIAM Journal on Numerical Analysis, Volume 52
Volume 52, Number 1, 2014
- Jean-Philippe Lessard
, Christian Reinhardt:
Rigorous Numerics for Nonlinear Differential Equations Using Chebyshev Series. 1-22 - Songting Luo, Jianliang Qian, Robert Burridge:
High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations. 23-44 - Elisabetta Carlini, Francisco J. Silva:
A Fully Discrete Semi-Lagrangian Scheme for a First Order Mean Field Game Problem. 45-67 - Hongjiong Tian, Quanhong Yu, Jiaoxun Kuang:
Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Runge-Kutta Methods. 68-82 - Fabian Brunner, Florin A. Radu, Peter Knabner:
Analysis of an Upwind-Mixed Hybrid Finite Element Method for Transport Problems. 83-102 - Joerg Willems:
Robust Multilevel Methods for General Symmetric Positive Definite Operators. 103-124 - Ben Adcock, Anders C. Hansen, Alexei Shadrin:
A Stability Barrier for Reconstructions from Fourier Samples. 125-139 - Lukas Einkemmer, Alexander Ostermann:
Convergence Analysis of Strang Splitting for Vlasov-Type Equations. 140-155 - Qiqi Wang:
Convergence of the Least Squares Shadowing Method for Computing Derivative of Ergodic Averages. 156-170 - Herbert Egger, Ulrich Rüde, Barbara I. Wohlmuth:
Energy-Corrected Finite Element Methods for Corner Singularities. 171-193 - Milan Hladík:
New Operator and Method for Solving Real Preconditioned Interval Linear Equations. 194-206 - Yue Wang, Jiequan Li:
Numerical Defects of the HLL Scheme and Dissipation Matrices for the Euler Equations. 207-219 - Matthew F. Causley, Andrew J. Christlieb:
Higher Order A-Stable Schemes for the Wave Equation Using a Successive Convolution Approach. 220-235 - Adriano Festa, Maurizio Falcone:
An Approximation Scheme for an Eikonal Equation with Discontinuous Coefficient. 236-257 - Panayot S. Vassilevski, Umberto Villa:
A Mixed Formulation for the Brinkman Problem. 258-281 - Shuo Zhang, Jinchao Xu:
Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids. 282-307 - Ivana Sebestová, Tomás Vejchodský:
Two-Sided Bounds for Eigenvalues of Differential Operators with Applications to Friedrichs, Poincaré, Trace, and Similar Constants. 308-329 - Noel Walkington:
A C1 Tetrahedral Finite Element without Edge Degrees of Freedom. 330-342 - Roland Griesmaier, Martin Hanke, John Sylvester:
Far Field Splitting for the Helmholtz Equation. 343-362 - Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado:
Discrete Total Variation Flows without Regularization. 363-385 - Paola F. Antonietti, Lourenço Beirão da Veiga, David Mora, Marco Verani:
A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes. 386-404 - Qinwu Xu, Jan S. Hesthaven:
Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations. 405-423 - Robert I. A. Patterson, Wolfgang Wagner:
Cell Size Error in Stochastic Particle Methods for Coagulation Equations with Advection. 424-442 - Miodrag M. Spalevic:
Error Bounds and Estimates for Gauss-Turán Quadrature Formulae of Analytic Functions. 443-467 - Mihai Anitescu, Xiaoyan Zeng, Emil M. Constantinescu:
A Low-Memory Approach for Best-State Estimation of Hidden Markov Models with Model Error. 468-495 - Yang Liu, Yoichiro Mori:
Lp Convergence of the Immersed Boundary Method for Stationary Stokes Problems. 496-514 - Michael S. Floater, Andrew Gillette, N. Sukumar:
Gradient Bounds for Wachspress Coordinates on Polytopes. 515-532 - Maxime Gazeau:
Probability and Pathwise Order of Convergence of a Semidiscrete Scheme for the Stochastic Manakov Equation. 533-553 - Christophe Chalons, Patrick Engel, Christian Rohde:
A Conservative and Convergent Scheme for Undercompressive Shock Waves. 554-579
Volume 52, Number 2, 2014
- Peter Benner, Tatjana Stykel:
Numerical Solution of Projected Algebraic Riccati Equations. 581-600 - Michael Feischl, Thomas Führer, Dirk Praetorius:
Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems. 601-625 - Laurent Gosse:
A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws. 626-652 - Burak Aksoylu, Zuhal Unlu:
Conditioning Analysis of Nonlocal Integral Operators in Fractional Sobolev Spaces. 653-677 - Keith J. Galvin, Leo G. Rebholz, Catalin Trenchea:
Efficient, Unconditionally Stable, and Optimally Accurate FE Algorithms for Approximate Deconvolution Models. 678-707 - Sören Bartels:
Quasi-optimal Error Estimates for Implicit Discretizations of Rate-Independent Evolutions. 708-716 - Oliver Ebner:
Stochastic Aspects of Nonlinear Refinement Schemes. 717-734 - Felicia Maria G. Magpantay, N. Kosovalic, Jianhong Wu:
An Age-Structured Population Model with State-Dependent Delay: Derivation and Numerical Integration. 735-756 - Lukas Einkemmer, Alexander Ostermann:
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations. 757-778 - Patrick Ciarlet Jr., Haijun Wu, Jun Zou:
Edge Element Methods for Maxwell's Equations with Strong Convergence for Gauss' Laws. 779-807 - Xu Yang, Jiwei Zhang:
Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain. 808-831 - Miroslav S. Pranic, Lothar Reichel:
Rational Gauss Quadrature. 832-851 - John R. Singler:
New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs. 852-876 - Kai Diethelm:
Error Bounds for the Numerical Integration of Functions with Limited Smoothness. 877-879 - Fleurianne Bertrand, Steffen Münzenmaier, Gerhard Starke:
First-Order System Least Squares on Curved Boundaries: Lowest-Order Raviart-Thomas Elements. 880-894 - Janosch Rieger:
Semi-Implicit Euler Schemes for Ordinary Differential Inclusions. 895-914 - Eric T. Chung, Bernardo Cockburn, Guosheng Fu:
The Staggered DG Method is the Limit of a Hybridizable DG Method. 915-932 - Buyang Li, Huadong Gao, Weiwei Sun:
Unconditionally Optimal Error Estimates of a Crank-Nicolson Galerkin Method for the Nonlinear Thermistor Equations. 933-954 - Hideki Murakawa:
Error Estimates for Discrete-Time Approximations of Nonlinear Cross-Diffusion Systems. 955-974 - Yoshitaka Watanabe, Kaori Nagatou, Michael Plum, Mitsuhiro T. Nakao:
Verified Computations of Eigenvalue Exclosures for Eigenvalue Problems in Hilbert Spaces. 975-992 - Iain Smears, Endre Süli:
Discontinuous Galerkin Finite Element Approximation of Hamilton-Jacobi-Bellman Equations with Cordes Coefficients. 993-1016 - Yingda Cheng, Irene M. Gamba, Fengyan Li, Philip J. Morrison:
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations. 1017-1049 - Dimitris Vartziotis, Benjamin Himpel:
Efficient Mesh Optimization Using the Gradient Flow of the Mean Volume. 1050-1075 - Mohammad Al-Khaleel, Martin J. Gander, Albert E. Ruehli:
Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits. 1076-1101
Volume 52, Number 3, 2014
- Weizhu Bao, Yongyong Cai:
Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator. 1103-1127 - Jan Baldeaux, Michael Gnewuch:
Optimal Randomized Multilevel Algorithms for Infinite-Dimensional Integration on Function Spaces with ANOVA-Type Decomposition. 1128-1155 - Giorgos Arampatzis, Markos A. Katsoulakis, Petr Plechác:
Parallelization, Processor Communication and Error Analysis in Lattice Kinetic Monte Carlo. 1156-1182 - Huadong Gao, Buyang Li, Weiwei Sun:
Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg-Landau Equations in Superconductivity. 1183-1202 - Thorsten Hohage, Frank Werner:
Convergence Rates for Inverse Problems with Impulsive Noise. 1203-1221 - Anne Gelb, Guohui Song:
A Frame Theoretic Approach to the Nonuniform Fast Fourier Transform. 1222-1242 - Ralf Kornhuber, Christoph Schwab, Maren-Wanda Wolf:
Multilevel Monte Carlo Finite Element Methods for Stochastic Elliptic Variational Inequalities. 1243-1268 - Laurence Halpern, Florence Hubert:
A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations. 1269-1291 - Hong Wang, Danping Yang, Shengfeng Zhu:
Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations. 1292-1310 - Stéphane Descombes, Max Duarte, Thierry Dumont, Frédérique Laurent, Violaine Louvet, Marc Massot:
Analysis of Operator Splitting in the Nonasymptotic Regime for Nonlinear Reaction-Diffusion Equations. Application to the Dynamics of Premixed Flames. 1311-1334 - Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
A Posteriori Error Control for DPG Methods. 1335-1353 - Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu:
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. 1354-1377 - Robert I. McLachlan, Ari Stern:
Modified Trigonometric Integrators. 1378-1397 - Noel Walkington:
Combined DG-CG Time Stepping for Wave Equations. 1398-1417 - Minghua Chen, Weihua Deng:
Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations. 1418-1438 - Fábio Margotti, Andreas Rieder, António Leitão:
A Kaczmarz Version of the REGINN-Landweber Iteration for Ill-Posed Problems in Banach Spaces. 1439-1465 - Barbora Benesová, Christof Melcher, Endre Süli:
An Implicit Midpoint Spectral Approximation of Nonlocal Cahn-Hilliard Equations. 1466-1496
Volume 52, Number 4, 2014
- Caroline Japhet, Yvon Maday, Frédéric Nataf:
Robin Schwarz Algorithm for the NICEM Method: The $\mathbf{P}_q$ Finite Element Case. 1497-1524 - Patrick Henning, Axel Målqvist, Daniel Peterseim:
Two-Level Discretization Techniques for Ground State Computations of Bose-Einstein Condensates. 1525-1550 - Laurent Sorber, Marc Van Barel, Lieven De Lathauwer:
Numerical Solution of Bivariate and Polyanalytic Polynomial Systems. 1551-1572 - Jean-Marie Mirebeau:
Anisotropic Fast-Marching on Cartesian Grids Using Lattice Basis Reduction. 1573-1599 - Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis:
High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs. 1600-1622 - Nan Li, Lihong Zhi:
Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems. 1623-1640 - Xiaochuan Tian, Qiang Du:
Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models. 1641-1665 - Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Marie Hélène Vignal:
Study of a Finite Volume Scheme for the Drift-Diffusion System. Asymptotic Behavior in the Quasi-Neutral Limit. 1666-1691 - Lennard Kamenski, Weizhang Huang:
How a Nonconvergent Recovered Hessian Works in Mesh Adaptation. 1692-1708 - Carsten Carstensen, Christian Merdon:
Refined Fully Explicit a Posteriori Residual-Based Error Control. 1709-1728 - Santiago Badia, Ramon Codina, Hector Espinoza:
Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form. 1729-1752 - Tobias Köppl, Barbara I. Wohlmuth:
Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side. 1753-1769 - Massimo Fornasier, Valeriya Naumova, Sergei V. Pereverzyev:
Parameter Choice Strategies for Multipenalty Regularization. 1770-1794 - Anthony P. Austin, Peter Kravanja, Lloyd N. Trefethen:
Numerical Algorithms Based on Analytic Function Values at Roots of Unity. 1795-1821 - Guido Kanschat, Natasha Sharma:
Divergence-Conforming Discontinuous Galerkin Methods and C0 Interior Penalty Methods. 1822-1842 - Stefano Maset, Marino Zennaro:
Good Behavior with Respect to the Stiffness in the Numerical Integration of Retarded Functional Differential Equations. 1843-1866 - Iván Area, Dimitar K. Dimitrov, Eduardo Godoy, Vanessa G. Paschoa:
Approximate Calculation of Sums I: Bounds for the Zeros of Gram Polynomials. 1867-1886 - Ben Adcock, Mark Richardson:
New Exponential Variable Transform Methods for Functions with Endpoint Singularities. 1887-1912 - Tobin A. Driscoll, J. A. C. Weideman:
Optimal Domain Splitting for Interpolation by Chebyshev Polynomials. 1913-1927 - Liqian Peng, Kamran Mohseni:
An Online Manifold Learning Approach for Model Reduction of Dynamical Systems. 1928-1952 - Chang-Tao Sheng, Zhong-Qing Wang, Ben-yu Guo:
A Multistep Legendre-Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations. 1953-1980 - Martin J. Gander, Yingxiang Xu:
Optimized Schwarz Methods for Circular Domain Decompositions with Overlap. 1981-2004 - Jianfeng Lu, Pingbing Ming:
Stability Of A Force-Based Hybrid Method With Planar Sharp Interface. 2005-2026 - Jie Zhou, Xiaozhe Hu, Liuqiang Zhong, Shi Shu, Long Chen:
Two-Grid Methods for Maxwell Eigenvalue Problems. 2027-2047 - Juhi Jang, Fengyan Li, Jing-Mei Qiu, Tao Xiong:
Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling. 2048-2072 - Trygve K. Karper, Franziska Weber:
A New Angular Momentum Method for Computing Wave Maps into Spheres. 2073-2091 - Maxim A. Olshanskii, Arnold Reusken:
Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces. 2092-2120 - Dietrich Braess, Thomas Fraunholz, R. H. W. Hoppe:
An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method. 2121-2136 - Klaus Deckelnick, Charles M. Elliott, Thomas Ranner:
Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations. 2137-2162 - Jean-Luc Guermond, Murtazo Nazarov, Bojan Popov, Yong Yang:
A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations. 2163-2182 - Derek Olson, Pavel B. Bochev, Mitchell Luskin, Alexander V. Shapeev:
An Optimization-based Atomistic-to-Continuum Coupling Method. 2183-2204 - Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley:
Corrigendum: Regularized Least Squares Approximations on the Sphere Using Spherical Designs. 2205-2206
Volume 52, Number 5, 2014
- Faker Ben Belgacem, Christine Bernardi, Frédéric Hecht, Stéphanie Salmon:
Stabilized Finite Elements for a Reaction-Dispersion Saddle-Point Problem with NonConstant Coefficients. 2207-2226 - David I. Ketcheson, Lajos Lóczi, Matteo Parsani:
Internal Error Propagation in Explicit Runge-Kutta Methods. 2227-2249 - Silke Glas, Karsten Urban:
On Noncoercive Variational Inequalities. 2250-2271 - Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou:
Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation. 2272-2294 - Ralf Hiptmair, Carlos Jerez-Hanckes, Carolina Urzúa-Torres:
Mesh-Independent Operator Preconditioning for Boundary Elements on Open Curves. 2295-2314 - Stefan Frei, Thomas Richter:
A Locally Modified Parametric Finite Element Method for Interface Problems. 2315-2334 - Oliver Kolb:
On the Full and Global Accuracy of a Compact Third Order WENO Scheme. 2335-2355 - Xiaobing Feng, Haijun Wu:
An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number. 2356-2380 - Yongxiang Liu, Xuejun Xu:
A Robin-type Domain Decomposition Method with Red-Black Partition. 2381-2399 - A. Kimeswenger, Olaf Steinbach, G. Unger:
Coupled Finite And Boundary Element Methods for Fluid-Solid Interaction Eigenvalue Problems. 2400-2414 - Jean Deteix, A. Jendoubi, Driss Yakoubi:
A Coupled Prediction Scheme for Solving the Navier-Stokes and Convection-Diffusion Equations. 2415-2439 - John C. Butcher, Yousaf Habib, Adrian T. Hill, Terence J. T. Norton:
The Control of Parasitism in G-symplectic Methods. 2440-2465 - Quentin Mérigot, Édouard Oudet:
Handling Convexity-Like Constraints in Variational Problems. 2466-2487 - Weizhu Bao, Yongyong Cai, Xiaofei Zhao:
A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein-Gordon Equation in the Nonrelativistic Limit Regime. 2488-2511 - Kassem Mustapha, B. Abdallah, Khaled M. Furati:
A Discontinuous Petrov-Galerkin Method for Time-Fractional Diffusion Equations. 2512-2529 - Ying Jiang, Bo Wang, Yuesheng Xu:
A Fast Fourier-Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation. 2530-2554 - Waixiang Cao, Zhimin Zhang, Qingsong Zou:
Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations. 2555-2573 - Huadong Gao:
Optimal Error Estimates of a Linearized Backward Euler FEM for the Landau-Lifshitz Equation. 2574-2593 - Mihály Kovács, Stig Larsson, Ali Mesforush:
Erratum: Finite Element Approximation of the Cahn-Hilliard-Cook Equation. 2594-2597
Volume 52, Number 6, 2014
- Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian W. Turner, Vo Anh:
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. 2599-2622 - Buyang Li, Weiwei Sun:
Linearized FE Approximations to a Nonlinear Gradient Flow. 2623-2646 - Huiyuan Li, Yuan Xu:
Spectral Approximation on the Unit Ball. 2647-2675 - Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Dirk Nuyens, Christoph Schwab:
Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. 2676-2702 - Norbert Heuer, Felipe Pinochet:
Ultra-weak Formulation of a Hypersingular Integral Equation on Polygons and DPG Method with Optimal Test Functions. 2703-2721 - Frank Filbir, Stefan Kunis, Ruben Seyfried:
Effective Discretization of Direct Reconstruction Schemes For Photoacoustic Imaging In Spherical Geometries. 2722-2742 - Douglas N. Arnold, Jeonghun J. Lee:
Mixed Methods for Elastodynamics with Weak Symmetry. 2743-2769 - Pascal Noble, Jean-Paul Vila:
Stability Theory for Difference Approximations of Euler-Korteweg Equations and Application to Thin Film Flows. 2770-2791 - Laurent Monasse, Régis Monneau:
Gradient Entropy Estimate and Convergence of a Semi-Explicit Scheme for Diagonal Hyperbolic Systems. 2792-2814 - Jean-François Chassagneux:
Linear Multistep Schemes for BSDEs. 2815-2836 - Konstantinos Chrysafinos, Efthimios N. Karatzas:
Error Estimates for Discontinuous Galerkin Time-Stepping Schemes for Robin Boundary Control Problems Constrained to Parabolic PDEs. 2837-2862 - Marco Fasondini, S. W. Schoombie:
Spurious Resonance in SemiDiscrete Methods for the Korteweg-de Vries Equation. 2863-2882 - Kenneth Duru, Gunilla Kreiss:
Boundary Waves and Stability of the Perfectly Matched Layer for the Two Space Dimensional Elastic Wave Equation in Second Order Form. 2883-2904 - Chunxiong Zhen:
Optimal Error Estimates for First-Order Gaussian Beam Approximations to the Schrödinger Equation. 2905-2930 - Björn Gmeiner, Christian Waluga, Barbara I. Wohlmuth:
Local Mass-Corrections for Continuous Pressure Approximations of Incompressible Flow. 2931-2956 - Owe Axelsson, János Karátson, Balázs Kovács:
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality. 2957-2976 - Clara Mertens, Raf Vandebril:
Multiple Recurrences and the Associated Matrix Structures Stemming From Normal Matrices. 2977-2999 - Jilu Wang, Zhiyong Si, Weiwei Sun:
A New Error Analysis of Characteristics-Mixed FEMs for Miscible Displacement in Porous Media. 3000-3020 - Jirí Hrivnák, Lenka Motlochová:
Discrete Transforms and Orthogonal Polynomials of (Anti)Symmetric Multivariate Cosine Functions. 3021-3055 - Yanghong Huang, Adam M. Oberman:
Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach. 3056-3084 - Jehanzeb Hameed Chaudhry, Eric C. Cyr, Kuo Liu, Thomas A. Manteuffel, Luke N. Olson, Lei Tang:
Enhancing Least-Squares Finite Element Methods Through a Quantity-of-Interest. 3085-3105 - David F. Anderson, Desmond J. Higham, Yu Sun:
Complexity of Multilevel Monte Carlo Tau-Leaping. 3106-3127 - Eskil Hansen, Tony Stillfjord:
Convergence Analysis for Splitting of the Abstract Differential Riccati Equation. 3128-3139 - Romain Bompis, Emmanuel Gobet:
Stochastic Approximation Finite Element Method: Analytical Formulas for Multidimensional Diffusion Process. 3140-3164 - Fleurianne Bertrand, Steffen Münzenmaier, Gerhard Starke:
First-order System Least Squares on Curved Boundaries: Higher-order Raviart-Thomas Elements. 3165-3180
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