Journal: SIAM J. Numerical Analysis

Volume 54, Issue 6

3193 -- 3213Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani. Adaptive Spectral Galerkin Methods with Dynamic Marking
3214 -- 3238M. Paul Laiu, Cory D. Hauck, Ryan G. McClarren, Dianne P. O'Leary, André L. Tits. N Moment Closures for Linear Kinetic Equations
3239 -- 3257A. Alamo, J.-M. Sanz-Serna. A Technique for Studying Strong and Weak Local Errors of Splitting Stochastic Integrators
3258 -- 3279Paul Leopardi, Ari Stern. The Abstract Hodge-Dirac Operator and Its Stable Discretization
3280 -- 3299Stevan Bellec, Mathieu Colin, Mario Ricchiuto. Discrete Asymptotic Equations for Long Wave Propagation
3300 -- 3331Wanting Xu, Mihai Anitescu. A Limited-Memory Multiple Shooting Method for Weakly Constrained Variational Data Assimilation
3332 -- 3356Todd Arbogast, Maicon R. Correa. Two Families of H(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension
3357 -- 3387Can Huang, Yujian Jiao, Li-lian Wang, Zhimin Zhang. Optimal Fractional Integration Preconditioning and Error Analysis of Fractional Collocation Method Using Nodal Generalized Jacobi Functions
3388 -- 3410Carsten Carstensen, Friederike Hellwig. Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity
3411 -- 3435Andrea Cangiani, Vitaliy Gyrya, Gianmarco Manzini. The NonConforming Virtual Element Method for the Stokes Equations
3436 -- 3464Santiago Badia, Hieu Nguyen. Balancing Domain Decomposition by Constraints and Perturbation
3465 -- 3492Quentin Mérigot, Jean-Marie Mirebeau. Minimal Geodesics Along Volume-Preserving Maps, Through Semidiscrete Optimal Transport
3493 -- 3522Patrick Henning, Mario Ohlberger, Barbara Verfürth. A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations
3523 -- 3549Andreas Dedner, Jan Giesselmann. A Posteriori Analysis of Fully Discrete Method of Lines Discontinuous Galerkin Schemes for Systems of Conservation Laws
3550 -- 3576Johanna Ridder. Convergence of a Finite Difference Scheme for Two-Dimensional Incompressible Magnetohydrodynamics
3577 -- 3599Herbert Egger, Matthias Schlottbom. A class of Galerkin Schemes for Time-Dependent Radiative Transfer
3600 -- 3624Balázs Kovács, Buyang Li, Christian Lubich. A-Stable Time Discretizations Preserve Maximal Parabolic Regularity
3625 -- 3647Thomas Kühn 0002, Sebastian Mayer, Tino Ullrich. Counting Via Entropy: New Preasymptotics for the Approximation Numbers of Sobolev Embeddings
3648 -- 3667Fleurianne Bertrand, Gerhard Starke. Parametric Raviart-Thomas Elements for Mixed Methods on Domains with Curved Surfaces

Volume 54, Issue 5

2729 -- 2749Xiang Wang, Yonghai Li. 2 Error Estimates for High Order Finite Volume Methods on Triangular Meshes
2750 -- 2774Qingguo Hong, Johannes Kraus. Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem
2775 -- 2798Sofia Lindqvist, Peder Aursand, Tore Flåtten, Anders Aase Solberg. Large Time Step TVD Schemes for Hyperbolic Conservation Laws
2799 -- 2832Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi, Adrián Németh. Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size
2833 -- 2867Yuhong Zhang, Yanren Hou, Li Shan. Stability and Convergence Analysis of a Decoupled Algorithm for a Fluid-Fluid Interaction Problem
2868 -- 2888Cesáreo González, Mechthild Thalhammer. Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part II: Convergence
2889 -- 2909Manas Rachh, Leslie Greengard. Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions
2910 -- 2937Kartikey Asthana, Jerry Watkins, Antony Jameson. On the Rate of Convergence of Flux Reconstruction for Steady-State Problems
2938 -- 2950WeiPing Shen, Chong Li, Jen-Chih Yao. Convergence Analysis of Newton-Like Methods for Inverse Eigenvalue Problems with Multiple Eigenvalues
2951 -- 2973Ricardo Oyarzúa, Ricardo Ruiz-Baier. Locking-Free Finite Element Methods for Poroelasticity
2974 -- 3002Jehanzeb Hameed Chaudhry, Donald J. Estep, Simon Tavener, Varis Carey, Jeff Sandelin. A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm
3003 -- 3031Caroline Moosmüller. 1 Analysis of Hermite Subdivision Schemes on Manifolds
3032 -- 3061Martina Bukac, Boris Muha. Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction
3062 -- 3082Eduard Feireisl, Radim Hosek, Martin Michálek. A Convergent Numerical Method for the Full Navier-Stokes-Fourier System in Smooth Physical Domains
3083 -- 3104Martin Parisot, Jean-Paul Vila. Centered-Potential Regularization for the Advection Upstream Splitting Method
3105 -- 3122Todd Arbogast, Abraham L. Taicher. A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures
3123 -- 3144Kelong Cheng, Cheng Wang. Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier-Stokes Equations
3145 -- 3166Lulu Liu, David E. Keyes. Convergence Analysis for the Multiplicative Schwarz Preconditioned Inexact Newton Algorithm
3167 -- 3191Marlis Hochbruck, Andreas Sturm. Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations

Volume 54, Issue 4

2015 -- 2035Zhi Zhao, Xiao-qing Jin, Zheng-Jian Bai. A Geometric Nonlinear Conjugate Gradient Method for Stochastic Inverse Eigenvalue Problems
2036 -- 2059Yu-Wen Li, Xinyuan Wu. Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems
2060 -- 2080Jin Zhang, Xiaowei Liu, Min Yang. 2 Error Estimate of SDFEM on Shishkin Triangular Meshes for Singularly Perturbed Convection-Diffusion Equations
2081 -- 2113Shuhuang Xiang. On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity
2114 -- 2137Yuling Jiao, Qinian Jin, Xiliang Lu, Weijie Wang. Alternating Direction Method of Multipliers for Linear Inverse Problems
2138 -- 2162Mira Schedensack. A New Discretization for mth-Laplace Equations with Arbitrary Polynomial Degrees
2163 -- 2186Philipp Morgenstern. Globally Structured Three-Dimensional Analysis-Suitable T-Splines: Definition, Linear Independence and m-graded local refinement
2187 -- 2209Benjamin Gess, Benoît Perthame, Panagiotis E. Souganidis. Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes
2210 -- 2227Iván Area, Dimitar K. Dimitrov, Eduardo Godoy, Vanessa G. Paschoa. Approximate Calculation of Sums II: Gaussian Type Quadrature
2228 -- 2255Christoph Erath, Dirk Praetorius. Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates
2256 -- 2281Ben Adcock, Rodrigo B. Platte. A Mapped Polynomial Method for High-Accuracy Approximations on Arbitrary Grids
2282 -- 2301Guohui Song, Jacqueline Davis, Anne Gelb. A High-Dimensional Inverse Frame Operator Approximation Technique
2302 -- 2322Wen-ming He, Runchang Lin, Zhimin Zhang. Ultraconvergence of Finite Element Method by Richardson Extrapolation for Elliptic Problems with Constant Coefficients
2323 -- 2358Eberhard Bänsch, A. Brenner. A Posteriori Error Estimates for Pressure-Correction Schemes
2359 -- 2378Fabian Brunner, Julian Fischer, Peter Knabner. 1 Finite Element Method for Transport Problems in Divergence Form
2379 -- 2388Andrea Bonito, Alan Demlow. Convergence and Optimality of Higher-Order Adaptive Finite Element Methods for Eigenvalue Clusters
2389 -- 2426Sebastian Becker, Arnulf Jentzen, Peter E. Kloeden. An Exponential Wagner-Platen Type Scheme for SPDEs
2427 -- 2451Gabriel R. Barrenechea, Volker John, Petr Knobloch. Analysis of Algebraic Flux Correction Schemes
2452 -- 2465Georg May, Mohammad Zakerzadeh. On the Convergence of Space-Time Discontinuous Galerkin Schemes for Scalar Conservation Laws
2466 -- 2489Jean-Luc Guermond, Bojan Popov. Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
2490 -- 2516Marc J. Piggott, Victor Solo. Geometric Euler-Maruyama Schemes for Stochastic Differential Equations in SO(n) and SE(n)
2517 -- 2540Mark S. Gockenbach. Generalizing the GSVD
2541 -- 2568Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab. Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations
2569 -- 2593Chuchu Chen, Jialin Hong. Symplectic Runge-Kutta Semidiscretization for Stochastic Schrödinger Equation
2594 -- 2618Barbara Kaltenbacher. Regularization Based on All-At-Once Formulations for Inverse Problems
2619 -- 2639Enrique Otárola, Abner J. Salgado. Finite Element Approximation of the Parabolic Fractional Obstacle Problem
2640 -- 2663Hui Liang, Hermann Brunner. Integral-Algebraic Equations: Theory of Collocation Methods II
2664 -- 2683Takashi Goda, Kosuke Suzuki, Takehito Yoshiki. An Explicit Construction of Optimal Order Quasi-Monte Carlo Rules for Smooth Integrands
2684 -- 2706Roland Becker, Daniela Capatina, Robert Luce. Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes
2707 -- 2727Christoph Pflaum, Rainer Hartmann. A Sparse Grid Discretization of the Helmholtz Equation with Variable Coefficients in High Dimensions

Volume 54, Issue 3

1341 -- 1364P. Azimzadeh, P. A. Forsyth. Weakly Chained Matrices, Policy Iteration, and Impulse Control
1365 -- 1384Dmitriy Leykekhman, Boris Vexler. Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems
1385 -- 1400Martin Halla. Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems
1401 -- 1422Dang-Manh Nguyen, Jörg Peters. Nonuniform Discontinuous Galerkin Filters via Shift and Scale
1423 -- 1448Michael Feischl, Dirk Praetorius, Kristoffer G. van der Zee. An Abstract Analysis of Optimal Goal-Oriented Adaptivity
1449 -- 1483Christian Bayer, Peter K. Friz, Sebastian Riedel, John Schoenmakers. From Rough Path Estimates to Multilevel Monte Carlo
1484 -- 1506Magnus Svärd. A Convergent Numerical Scheme for the Compressible Navier-Stokes Equations
1507 -- 1534Assyr Abdulle, Timothée Pouchon. A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time
1535 -- 1556William W. Hager, Maryam Yashtini, Hongchao Zhang. An O(1/k) Convergence Rate for the Variable Stepsize Bregman Operator Splitting Algorithm
1557 -- 1581Haiyong Wang. On the Optimal Estimates and Comparison of Gegenbauer Expansion Coefficients
1582 -- 1611Jean-Marie Mirebeau. Minimal Stencils for Discretizations of Anisotropic PDEs Preserving Causality or the Maximum Principle
1612 -- 1634Weizhang Huang, Lennard Kamenski, Jens Lang. Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes
1635 -- 1652Matthew F. Causley, Hana Cho, Andrew J. Christlieb, David C. Seal. Method of Lines Transpose: High Order L-Stable O(N) Schemes for Parabolic Equations Using Successive Convolution
1653 -- 1681Dong Li, Zhonghua Qiao, Tao Tang. Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
1682 -- 1712François P. Hamon, Hamdi A. Tchelepi. Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity
1713 -- 1731Yvon Maday, O. Mula, Gabriel Turinici. Convergence analysis of the Generalized Empirical Interpolation Method
1732 -- 1762John W. Barrett, Harald Garcke, Robert Nürnberg. Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects
1763 -- 1784Kim-Ngan Le, William McLean, Kassem Mustapha. Numerical Solution of the Time-Fractional Fokker-Planck Equation with General Forcing
1785 -- 1812Weizhu Bao, Yongyong Cai, Xiaowei Jia, Qinglin Tang. A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime
1813 -- 1839Håkon Hoel, Kody J. H. Law, Raúl Tempone. Multilevel ensemble Kalman filtering
1840 -- 1872Konstantinos Dareiotis, Chaman Kumar, Sotirios Sabanis. On Tamed Euler Approximations of SDEs Driven by Lévy Noise with Applications to Delay Equations
1873 -- 1898Florent Chave, Daniele A. Di Pietro, Fabien Marche, Franck Pigeonneau. A Hybrid High-Order Method for the Cahn-Hilliard problem in Mixed Form
1899 -- 1919Qiang Du, Jiang Yang. Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen-Cahn Equations
1920 -- 1945Ulrik S. Fjordholm, Susanne Solem. Second-Order Convergence of Monotone Schemes for Conservation Laws
1946 -- 1966Kinjal Basu, Art B. Owen. Transformations and Hardy-Krause Variation
1967 -- 1992Erik Burman, Friedhelm Schieweck. Local CIP Stabilization for Composite Finite Elements
1993 -- 2013Yuto Miyatake, John C. Butcher. A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems

Volume 54, Issue 2

505 -- 529David F. Anderson, Desmond J. Higham, Yu Sun. Multilevel Monte Carlo for Stochastic Differential Equations with Small Noise
530 -- 560Qinghai Zhang, Aaron L. Fogelson. MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets
561 -- 587Dmitriy Leykekhman, Boris Vexler. Finite Element Pointwise Results on Convex Polyhedral Domains
588 -- 605Giuseppe Maria Coclite, O. Reichmann, Nils Henrik Risebro. A Convergent Difference Scheme for a Class of Partial Integro-Differential Equations Modeling Pricing under Uncertainty
606 -- 624S. Chen, F. Liu, X. Jiang, Ian W. Turner, K. Burrage. Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients
625 -- 640Wei Hong Yang, Deren Han. Linear Convergence of the Alternating Direction Method of Multipliers for a Class of Convex Optimization Problems
641 -- 664Thomas Rey, Changhui Tan. An Exact Rescaling Velocity Method for some Kinetic Flocking Models
665 -- 687R. R. Lederman, V. Rokhlin. On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II
688 -- 718Roland Herzog, Susann Mach. Preconditioned Solution of State Gradient Constrained Elliptic Optimal Control Problems
719 -- 743Vanni Noferini, Alex Townsend. Numerical Instability of Resultant Methods for Multidimensional Rootfinding
744 -- 796Markus Bachmayr, Wolfgang Dahmen. Adaptive Low-Rank Methods: Problems on Sobolev Spaces
797 -- 824Michael S. Floater, Ming-Jun Lai. Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation
825 -- 847Xiaobing Feng, Yukun Li, Yulong Xing. Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and the Hele-Shaw Flow
848 -- 873Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado. A PDE Approach to Space-Time Fractional Parabolic Problems
874 -- 898Mohammad Zakerzadeh, Georg May. On the Convergence of a Shock Capturing Discontinuous Galerkin Method for Nonlinear Hyperbolic Systems of Conservation Laws
899 -- 920Ran Zhang, Hui Liang, Hermann Brunner. Analysis of Collocation Methods for Generalized Auto-Convolution Volterra Integral Equations
921 -- 941Marc Dambrine, Isabelle Greff, Helmut Harbrecht, Bénédicte Puig. Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness
942 -- 968Jan Martin Nordbotten. Stable Cell-Centered Finite Volume Discretization for Biot Equations
969 -- 993Mario Ullrich, Tino Ullrich. The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative
994 -- 1019T. Chacón Rebollo, V. Girault, F. Murat, O. Pironneau. Analysis of a Coupled Fluid-Structure Model with Applications to Hemodynamics
1020 -- 1038Emil Kieri, Christian Lubich, Hanna Walach. Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values
1039 -- 1068Marco Discacciati, Paola Gervasio, Alessandro Giacomini, Alfio Quarteroni. The Interface Control Domain Decomposition Method for Stokes-Darcy Coupling
1069 -- 1092Jessika Camano, Gabriel N. Gatica, Ricardo Oyarzúa, Giordano Tierra. An Augmented Mixed Finite Element Method for the Navier-Stokes Equations with Variable Viscosity
1093 -- 1119Rikard Anton, David Cohen, Stig Larsson, Xiaojie Wang. Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise
1120 -- 1146Francis Filbet, Luis Miguel Rodrigues. Asymptotically Stable Particle-In-Cell Methods for the Vlasov-Poisson System with a Strong External Magnetic Field
1147 -- 1168Binjie Li, Xiaoping Xie. BPX Preconditioner for Nonstandard Finite Element Methods for Diffusion Problems
1169 -- 1192René Schneider, Gerd Wachsmuth. A Posteriori Error Estimation for Control-Constrained, Linear-Quadratic Optimal Control Problems
1193 -- 1228Huo-Yuan Duan, Ping Lin, Roger C. E. Tan. A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem
1229 -- 1262Wei Gong, Ningning Yan. Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold
1263 -- 1287Clément Cancès, Hélène Mathis, Nicolas Seguin. Error Estimate for Time-Explicit Finite Volume Approximation of Strong Solutions to Systems of Conservation Laws
1288 -- 1312Christopher Keim, Holger Wendland. A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem
1313 -- 1340Praveen Chandrashekar, Christian Klingenberg. Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes

Volume 54, Issue 1

1 -- 33Pauline Lafitte, Annelies Lejon, Giovanni Samaey. A High-Order Asymptotic-Preserving Scheme for Kinetic Equations Using Projective Integration
34 -- 56Paola F. Antonietti, Lourenço Beirão da Veiga, Simone Scacchi, Marco Verani. 1 Virtual Element Method for the Cahn-Hilliard Equation with Polygonal Meshes
57 -- 85Jean-Luc Guermond, Bojan Popov. Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
86 -- 119Andy T. S. Wan, Alexander Bihlo, Jean-Christophe Nave. The Multiplier Method to Construct Conservative Finite Difference Schemes for Ordinary and Partial Differential Equations
120 -- 136Emmanuil H. Georgoulis, Omar Lakkis, Charalambos Makridakis, Juha M. Virtanen. A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems
137 -- 160Martin Campos Pinto, Frédérique Charles. Uniform Convergence of a Linearly Transformed Particle Method for the Vlasov-Poisson System
161 -- 186Yves Achdou, Alessio Porretta. Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games
187 -- 209Florent Renac. Stability Analysis of Discontinuous Galerkin Discrete Shock Profiles for Steady Scalar Conservation Laws
210 -- 241Beniamin Bogosel, Bozhidar Velichkov. A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results
242 -- 261Stefano Berrone, Andrea Borio, Stefano Scialò. A Posteriori Error Estimate for a PDE-Constrained Optimization Formulation for the Flow in DFNs
262 -- 287Volker Michel, Roger Telschow. The Regularized Orthogonal Functional Matching Pursuit for Ill-Posed Inverse Problems
288 -- 316Thao-Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts. Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation
317 -- 340Francesca Tantardini, Andreas Veeser. 2-Projection and Quasi-Optimality of Galerkin Methods for Parabolic Equations
341 -- 360Claudia König, Frank Werner, Thorsten Hohage. Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise
361 -- 387Andreas Potschka. Backward Step Control for Global Newton-Type Methods
388 -- 414Jörg Grande, Arnold Reusken. A Higher Order Finite Element Method for Partial Differential Equations on Surfaces
415 -- 439Muruhan Rathinam. Convergence of Moments of tau Leaping Schemes for Unbounded Markov Processes on Integer Lattices
440 -- 461Kerstin Küpper, Martin Frank, Shi Jin. An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations
462 -- 480Libin Jiao, Bo Dong, Jintao Zhang, Bo Yu 0003. Polynomial Homotopy Method for the Sparse Interpolation Problem Part I: Equally Spaced Sampling
481 -- 503Bangti Jin, Raytcho D. Lazarov, Zhi Zhou. A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations