Journal: SIAM J. Numerical Analysis

Volume 53, Issue 6

2505 -- 2518S. Sato, T. Matsuo, H. Suzuki, D. Furihata. A Lyapunov-Type Theorem for Dissipative Numerical Integrators with Adaptive Time-Stepping
2519 -- 2544Natalia Kopteva. Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes
2545 -- 2569D. P. Bourne, S. M. Roper. Centroidal Power Diagrams, Lloyd's Algorithm, and Applications to Optimal Location Problems
2570 -- 2583Shoufu Li, Yunfei Li. B-Convergence Theory of Runge-Kutta Methods for Stiff Volterra Functional Differential Equations with Infinite Integration Interval
2584 -- 2604Daniele Boffi, Nicola Cavallini, Lucia Gastaldi. The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
2605 -- 2625Jan Martin Nordbotten. Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity
2626 -- 2633Rolf Stenberg, Juha Videman. On the Error Analysis of Stabilized Finite Element Methods for the Stokes Problem
2634 -- 2654Stefan Takacs. A Robust Multigrid Method for the Time-Dependent Stokes Problem
2655 -- 2676Stefan Engblom. Strong Convergence for Split-Step Methods in Stochastic Jump Kinetics
2677 -- 2704Lijun Yi, Benqi Guo. An h-p Version of the Continuous Petrov-Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
2705 -- 2726Daniel Appelö, Thomas Hagstrom. A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
2727 -- 2751Shishun Li, Xiao-Chuan Cai. Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations
2752 -- 2770Victor Didenko, Tao Tang, Anh My Vu. Spline Galerkin Methods for the Sherman-Lauricella Equation on Contours with Corners
2771 -- 2793S. Maset. The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results
2794 -- 2821S. Maset. The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments
2822 -- 2846Evan S. Gawlik, Adrian J. Lew. Unified Analysis of Finite Element Methods for Problems with Moving Boundaries

Volume 53, Issue 5

2113 -- 2134Bertram Düring, Christof Heuer. High-Order Compact Schemes for Parabolic Problems with Mixed Derivatives in Multiple Space Dimensions
2135 -- 2157Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern. A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes
2158 -- 2177Ken'ichiro Tanaka, Alexis Akira Toda. Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis
2178 -- 2205Julian Fischer. A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier-Stokes Equation
2206 -- 2225Falk M. Hante, Mario S. Mommer, Andreas Potschka. Newton-Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems
2226 -- 2254James H. Adler, Timothy J. Atherton, D. B. Emerson, S. P. MacLachlan. An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals
2255 -- 2278B. J. Grieshaber, Andrew T. McBride, B. D. Reddy. Uniformly Convergent Interior Penalty Methods Using Multilinear Approximations for Problems in Elasticity
2279 -- 2306Harbir Antil, Ricardo H. Nochetto, Patrick Sodré. Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis
2307 -- 2328Boris Houska, Mario Eduardo Villanueva, Benoît Chachuat. Stable Set-Valued Integration of Nonlinear Dynamic Systems using Affine Set-Parameterizations
2329 -- 2346Jeffrey Humpherys, Joshua Lytle. Root Following in Evans Function Computation
2347 -- 2362Fotios Kasolis, Eddie Wadbro, Martin Berggren. Analysis of Fictitious Domain Approximations of Hard Scatterers
2363 -- 2388Pavel B. Bochev, M. Perego, Kara Peterson. Formulation and Analysis of a Parameter-Free Stabilized Finite Element Method
2389 -- 2413Qinian Jin. Inexact Newton-Landweber Iteration in Banach Spaces with NonSmooth Convex Penalty Terms
2414 -- 2440Stefan A. Sauter, Jakob Zech. A Posteriori Error Estimation of hp-dG Finite Element Methods for Highly Indefinite Helmholtz Problems
2441 -- 2471Rosalie Bélanger-Rioux, Laurent Demanet. Compressed Absorbing Boundary Conditions via Matrix Probing
2472 -- 2487John Maclean. A Note on Implementations of the Boosting Algorithm and Heterogeneous Multiscale Methods
2488 -- 2503Zhijian He, Xiaoqun Wang. On the Convergence Rate of Randomized Quasi-Monte Carlo for Discontinuous Functions

Volume 53, Issue 4

1651 -- 1671Waixiang Cao, Chi-Wang Shu, Yang Yang, Zhimin Zhang. Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations
1672 -- 1689Jitendra Kumar, Jitraj Saha, Evangelos Tsotsas. Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation
1690 -- 1715Florent Renac. Stationary Discrete Shock Profiles for Scalar Conservation Laws with a Discontinuous Galerkin Method
1716 -- 1737Zhong-Zhi Bai, Miroslav Rozlozník. On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems
1738 -- 1757Jeffrey Willert, Xiaojun Chen, C. T. Kelley. Newton's Method for Monte Carlo-Based Residuals
1758 -- 1785Xin Liu 0001, Zaiwen Wen, Xiao Wang, Michael Ulbrich, Yaxiang Yuan. On the Analysis of the Discretized Kohn-Sham Density Functional Theory
1786 -- 1805Weiguo Gao, Jing Leng, Xiang Zhou. An Iterative Minimization Formulation for Saddle Point Search
1806 -- 1832Peter Hansbo, Mats G. Larson, Sara Zahedi. Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces
1833 -- 1856Andrew J. Christlieb, Yaman Güçlü, David C. Seal. The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes
1857 -- 1875Jens Zudrop, Jan S. Hesthaven. Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions
1876 -- 1896F. Guillén-González, J. Rafael Rodríguez Galván. Stabilized Schemes for the Hydrostatic Stokes Equations
1897 -- 1917Alex Townsend. A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions
1918 -- 1940Jiaxiang Cai, Jialin Hong, Yushun Wang, Yuezheng Gong. Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis
1941 -- 1962Hongxing Rui, Wei Liu. A Two-Grid Block-Centered Finite Difference Method For Darcy-Forchheimer Flow in Porous Media
1963 -- 1983Rajib Dutta, Ujjwal Koley, Nils Henrik Risebro. Convergence of a Higher Order Scheme for the Korteweg-De Vries Equation
1984 -- 2007Lin Zhao, Alex H. Barnett. Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant
2008 -- 2029Alina Chertock, Shumo Cui, Alexander Kurganov, Tong Wu. Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term
2030 -- 2050Yanping Lin, Min Yang, Qingsong Zou. 2 Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes
2051 -- 2073Thanh Hai Ong, Thi Thao Phuong Hoang, Stéphane P. A. Bordas, Hung Nguyen-Xuan. A Staggered Cell-Centered Finite Element Method for Compressible and Nearly-Incompressible Linear Elasticity on General Meshes
2074 -- 2096Zhongqiang Zhang, Fanhai Zeng, George E. Karniadakis. Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations
2097 -- 2111J. Thomas Beale. Uniform Error Estimates for Navier-Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method

Volume 53, Issue 3

1195 -- 1213Peyman Hessari. Pseudospectral Least Squares Method for Stokes-Darcy Equations
1214 -- 1235R. R. Lederman, V. Rokhlin. On the Analytical and Numerical Properties of the Truncated Laplace Transform I
1236 -- 1255Jörg Grande. Finite Element Discretization Error Analysis of a General Interfacial Stress Functional
1256 -- 1279Christine Bernardi, Tomás Chacón Rebollo, Driss Yakoubi. Finite Element Discretization of the Stokes and Navier-Stokes Equations with Boundary Conditions on the Pressure
1280 -- 1303Jan Giesselmann, Charalambos Makridakis, Tristan Pryer. A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws
1304 -- 1324Roland Herzog, Ekkehard W. Sachs. Superlinear Convergence of Krylov Subspace Methods for Self-Adjoint Problems in Hilbert Space
1325 -- 1349Jianjun Liu, Li-Qun Cao, Ningning Yan, Junzhi Cui. Multiscale Approach for Optimal Design in Conductivity of Composite Materials
1350 -- 1369Roberto Garrappa. Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
1370 -- 1392Constantin Bacuta, Matthew E. Hassell, George C. Hsiao, Francisco-Javier Sayas. Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem
1393 -- 1417Hailiang Liu, Wenli Cai, Ning Su. Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions
1418 -- 1437Buyang Li, Weiwei Sun. Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow
1438 -- 1463Jun Hu. A New Family of Efficient Conforming Mixed Finite Elements on Both Rectangular and Cuboid Meshes for Linear Elasticity in the Symmetric Formulation
1464 -- 1487P. Kuberry, H. Lee. Analysis of a Fluid-Structure Interaction Problem Recast in an Optimal Control Setting
1488 -- 1507Guillaume Drouet, Patrick Hild. Optimal Convergence for Discrete Variational Inequalities Modelling Signorini Contact in 2D and 3D without Additional Assumptions on the Unknown Contact Set
1508 -- 1536Guannan Zhang, Clayton G. Webster, Max Gunzburger, John Burkardt. A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection
1537 -- 1558Seungil Kim, Hui Zhang. Optimized Schwarz Method with Complete Radiation Transmission Conditions for the Helmholtz Equation in Waveguides
1559 -- 1584Gaël Poëtte, Alexandre Birolleau, Didier Lucor. Iterative Polynomial Approximation Adapting to Arbitrary Probability Distribution
1585 -- 1607Zhoufeng Wang, Gang Bao, Jiaqing Li, Peijun Li, Haijun Wu. An Adaptive Finite Element Method for the Diffraction Grating Problem with Transparent Boundary Condition
1608 -- 1628Gang Bao, Shuai Lu, William Rundell, Boxi Xu. A Recursive Algorithm for MultiFrequency Acoustic Inverse Source Problems
1629 -- 1649Chunmei Su, Zhiping Li. Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity

Volume 53, Issue 2

701 -- 719Cesáreo González, Mechthild Thalhammer. Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability
720 -- 742Xuemin Tu, Jing Li. A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations
743 -- 761Kinjal Basu, Art B. Owen. Low Discrepancy Constructions in the Triangle
762 -- 781Xiaochuan Tian, Qiang Du. Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems
782 -- 804Yu Du, Haijun Wu. Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
805 -- 819Alex Toth, C. T. Kelley. Convergence Analysis for Anderson Acceleration
820 -- 835Sergei V. Pereverzyev, I. H. Sloan, Pavlo Tkachenko. Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere
836 -- 851Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint. On the Evaluation Complexity of Constrained Nonlinear Least-Squares and General Constrained Nonlinear Optimization Using Second-Order Methods
852 -- 873Michael Griebel, Christian Rieger, Barbara Zwicknagl. Multiscale Approximation and Reproducing Kernel Hilbert Space Methods
874 -- 894C. Carstensen, D. J. Liu. Nonconforming FEMs for an Optimal Design Problem
895 -- 916François James, Nicolas Vauchelet. Numerical Methods for One-Dimensional Aggregation Equations
917 -- 941Christian Lubich, Ivan V. Oseledets, Bart Vandereycken. Time Integration of Tensor Trains
942 -- 962Waixiang Cao, Zhimin Zhang, Qingsong Zou. Is 2k-Conjecture Valid for Finite Volume Methods?
963 -- 983Aekta Aggarwal, Rinaldo M. Colombo, Paola Goatin. Nonlocal Systems of Conservation Laws in Several Space Dimensions
984 -- 1004Walter Zulehner. The Ciarlet-Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning
1005 -- 1031Volker John, Julia Novo. Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions
1032 -- 1057Yuan-Ming Wang. Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems
1058 -- 1081Alexandre Ern, Martin Vohralík. Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
1082 -- 1106Ludwig Gauckler. Error Analysis of Trigonometric Integrators for Semilinear Wave Equations
1107 -- 1120Mark Ainsworth, Gabriel R. Barrenechea, Andreas Wachtel. Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow
1121 -- 1144Tao Lin, Yanping Lin, Xu Zhang. Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
1145 -- 1171Paola F. Antonietti, Andreas Dedner, Pravin Madhavan, Simone Stangalino, Björn Stinner, Marco Verani. High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces
1172 -- 1193Jean-François Chassagneux, Adrien Richou. Numerical Stability Analysis of the Euler Scheme for BSDEs

Volume 53, Issue 1

1 -- 16Assyr Abdulle, Gilles Vilmart, Konstantinos C. Zygalakis. Long Time Accuracy of Lie-Trotter Splitting Methods for Langevin Dynamics
17 -- 42Adrian Sandu, Michael Günther 0005. A Generalized-Structure Approach to Additive Runge-Kutta Methods
43 -- 62Carsten Carstensen, Eun-Jae Park. Convergence and Optimality of Adaptive Least Squares Finite Element Methods
63 -- 81Jong-Ho Lee. A Balancing Domain Decomposition by Constraints Deluxe Method for Reissner-Mindlin Plates with Falk-Tu Elements
82 -- 104Jeff Calder, Selim Esedoglu, Alfred O. Hero. A PDE-based Approach to Nondominated Sorting
105 -- 126Takahito Kashiwabara, Claudia Maria Colciago, Luca Dedè, Alfio Quarteroni. Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem
127 -- 152Amanda E. Diegel, Xiaobing Feng, Steven M. Wise. Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System
153 -- 183Zhongqiang Zhang, Michael V. Tretyakov, Boris Rozovskii, George E. Karniadakis. Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise
184 -- 205Zhonghua Qiao, Tao Tang, Hehu Xie. Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model
206 -- 227Haijin Wang, Chi-Wang Shu, Qiang Zhang. Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
228 -- 250Adérito Araújo, Sílvia Barbeiro, Pedro Serranho. Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes
251 -- 278Eugene C. Gartland Jr., Alison Ramage. A Renormalized Newton Method for Liquid Crystal Director Modeling
279 -- 296Jie Shen, Xiaofeng Yang. Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
297 -- 320Axel Klawonn, P. Radtke, Oliver Rheinbach. FETI-DP Methods with an Adaptive Coarse Space
321 -- 341Evgeniy Zharovsky, Adrian Sandu, Hong Zhang. A Class Of Implicit-Explicit Two-Step Runge-Kutta Methods
342 -- 369Yalchin Efendiev, Raytcho D. Lazarov, Ke Shi. A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces
370 -- 389Xuerong Mao. Almost Sure Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
390 -- 404T. Nikazad, M. Abbasi. Perturbation-Resilient Iterative Methods with an Infinite Pool of Mappings
405 -- 420Zhiqiang Cai, Rob Falgout, Shun Zhang. Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations
421 -- 444Kristian Bredies, Hongpeng Sun. Preconditioned Douglas-Rachford Splitting Methods for Convex-concave Saddle-point Problems
445 -- 463Roland Becker, Melanie Bittl, Dmitri Kuzmin. Analysis of a Combined CG1-DG2 Method for the Transport Equation
464 -- 484Georgios Akrivis. Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations
485 -- 507Marlis Hochbruck, Tomislav Pazur. Implicit Runge-Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations
508 -- 526Paul Deuring, Robert Eymard, Marcus Mildner. 2-Stability Independent of Diffusion for a Finite Element-Finite Volume Discretization of a Linear Convection-Diffusion Equation
527 -- 550Mikaël Barboteu, Krzysztof Bartosz, Weimin Han, Tomasz Janiczko. Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact
551 -- 572Dominic Breit, Lars Diening, Sebastian Schwarzacher. Finite Element Approximation of the p(·)-Laplacian
573 -- 597Martin J. Gander, Soheil Hajian. Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization
598 -- 618Paola F. Antonietti, Marco Sarti, Marco Verani. Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems
619 -- 643Xiangfan Piao, Sang Dong Kim, Philsu Kim, Jae-Min Kwon, Dokkyun Yi. An Iteration Free Backward Semi-Lagrangian Scheme for Guiding Center Problems
644 -- 673Andreas Weinmann, Martin Storath, Laurent Demaret. 1-Potts Functional for Robust Jump-Sparse Reconstruction
674 -- 699Jan Ernest, Philippe G. LeFloch, Siddhartha Mishra. Schemes with Well-Controlled Dissipation