Journal: SIAM J. Numerical Analysis

Volume 57, Issue 6

2493 -- 2518Gabriel N. Gatica, Salim Meddahi. On the Coupling of VEM and BEM in Two and Three Dimensions
2519 -- 2550Hehu Xie, Lei Zhang 0027, Houman Owhadi. Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction
2551 -- 2578Gang Chen 0025, Liangya Pi, Liwei Xu, Yangwen Zhang. A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations
2579 -- 2607Fabian M. Faulstich, Andre Laestadius, Örs Legeza, Reinhold Schneider, Simen Kvaal. Analysis of the Tailored Coupled-Cluster Method in Quantum Chemistry
2608 -- 2655Jean-Marie Mirebeau. Riemannian Fast-Marching on Cartesian Grids, Using Voronoi's First Reduction of Quadratic Forms
2656 -- 2684Yongcun Song, Xiaoming Yuan, Hangrui Yue. An Inexact Uzawa Algorithmic Framework for Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem
2685 -- 2706Malte Winckler, Irwin Yousept. Fully Discrete Scheme for Bean's Critical-state Model with Temperature Effects in Superconductivity
2707 -- 2729Daan Huybrechs, Arno B. J. Kuijlaars, Nele Lejon. A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points
2730 -- 2759Jikun Zhao, Bei Zhang, Shipeng Mao, Shaochun Chen. The Divergence-Free Nonconforming Virtual Element for the Stokes Problem
2760 -- 2784Antonio Baeza, Raimund Bürger, Pep Mulet, David Zorío. WENO Reconstructions of Unconditionally Optimal High Order
2785 -- 2811Erik Burman, Cuiyu He. Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations
2812 -- 2828Jeremie Houssineau, Ajay Jasra, Sumeetpal S. Singh. On Large Lag Smoothing for Hidden Markov Models
2829 -- 2849Hongyi Zhu, Chuanju Xu. A Fast High Order Method for the Time-Fractional Diffusion Equation
2850 -- 2870David I. Ketcheson. Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms

Volume 57, Issue 5

2043 -- 2073Johannes Pfefferer, Max Winkler. Finite Element Error Estimates for Normal Derivatives on Boundary Concentrated Meshes
2074 -- 2094Abinand Gopal, Lloyd N. Trefethen. Solving Laplace Problems with Corner Singularities via Rational Functions
2095 -- 2120Lei Li 0006, Jian-Guo Liu. A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows
2121 -- 2141Christian Pötzsche. 0-Setting
2142 -- 2165Qi Tao, Yan Xu. Superconvergence of Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations
2166 -- 2188Herbert Egger, Matthias Schlottbom. N-Approximations in Radiative Transfer
2189 -- 2199Jun Hu, Shangyou Zhang, Zhimin Zhang. On the 2pth-Order of Convergence of the Galerkin Difference Method
2200 -- 2216J. A. C. Weideman. Gauss-Hermite Quadrature for the Bromwich Integral
2217 -- 2245Giovanni Migliorati. Adaptive Approximation by Optimal Weighted Least-Squares Methods
2246 -- 2265Li Guo, Hengguang Li, Qingsong Zou. Interior Estimates of Finite Volume Element Methods Over Quadrilateral Meshes for Elliptic Equations
2266 -- 2299Félix del Teso, Jørgen Endal, Espen R. Jakobsen. Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory
2300 -- 2327Adrian Sandu. A Class of Multirate Infinitesimal GARK Methods
2328 -- 2358Isabella Cravero, Matteo Semplice, Giuseppe Visconti. Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions
2359 -- 2382Alex Bespalov, Dirk Praetorius, Leonardo Rocchi, Michele Ruggeri. Convergence of Adaptive Stochastic Galerkin FEM
2383 -- 2412Lihui Chai, Emmanuel Lorin, Xu Yang. Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime
2413 -- 2435Heiko Kröner. Analysis of Constants in Error Estimates for the Finite Element Approximation of Regularized Nonlinear Geometric Evolution Equations
2436 -- 2468Jorge Albella Martínez, H. Ben Dhia, Sébastien Imperiale, Jerónimo Rodríguez. Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling
2469 -- 2492Lu Zhang, Thomas Hagstrom, Daniel Appelö. An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection

Volume 57, Issue 4

1545 -- 1573Ruchi Guo, Tao Lin. A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems
1574 -- 1601Yuan Xu, Qiang Zhang 0018, Chi-Wang Shu, Haijin Wang. 2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations
1602 -- 1624Yongyong Cai, Yan Wang. Uniformly Accurate Nested Picard Iterative Integrators for the Dirac Equation in the Nonrelativistic Limit Regime
1625 -- 1648Christoph Reisinger, Yufei Zhang. A Penalty Scheme for Monotone Systems with Interconnected Obstacles: Convergence and Error Estimates
1649 -- 1676Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz. Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods
1677 -- 1696Keegan L. A. Kirk, Tamás L. Horváth, Ayçil Çesmelioglu, Sander Rhebergen. Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains
1697 -- 1722Jeonghun J. Lee, Stephen Shannon, Tan Bui-Thanh, John N. Shadid. Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations
1723 -- 1743Juan Pablo Borthagaray, Patrick Ciarlet Jr.. 1-Norm for the Fractional Laplacian
1744 -- 1769Josef Dick, Michael Feischl, Christoph Schwab. Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification
1770 -- 1788Shixin Xu, Xinfu Chen, Chun Liu, Xingye Yue. Numerical Method for Multi-Alleles Genetic Drift Problem
1789 -- 1814Antti Hannukainen, Jarmo Malinen, Antti Ojalammi. Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems
1815 -- 1841Jianbo Cui, Jialin Hong. Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient
1842 -- 1874José Antonio Carrillo, Piotr Gwiazda, Karolina Kropielnicka, Anna K. Marciniak-Czochra. The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures
1875 -- 1896Hui Liang, Hermann Brunner. The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations
1897 -- 1918Vanja Nikolic, Barbara I. Wohlmuth. A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation
1919 -- 1946Gang Chen 0025, John R. Singler, Yangwen Zhang. An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs
1947 -- 1966Alexander Ostermann, Chiara Piazzola, Hanna Walach. Convergence of a Low-Rank Lie-Trotter Splitting for Stiff Matrix Differential Equations
1967 -- 1986Marvin Knöller, Alexander Ostermann, Katharina Schratz. A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data
1987 -- 2018John W. Barrett 0001, Harald Garcke, Robert Nürnberg. Stable Discretizations of Elastic Flow in Riemannian Manifolds
2019 -- 2042Yuwen Li. Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus

Volume 57, Issue 3

973 -- 996Andrea Bonito, Alan Demlow. 2 Surfaces
997 -- 1019Xue-lei Lin, Michael K. Ng, Hai-wei Sun. Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients
1020 -- 1035Lise-Marie Imbert-Gérard, Felipe Vico, Leslie Greengard, Miguel Ferrando. Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media
1036 -- 1057Johannes Eilinghoff, Tobias Jahnke, Roland Schnaubelt. Error Analysis of an Energy Preserving ADI Splitting Scheme for the Maxwell Equations
1058 -- 1081Shuhao Cao, Long Chen 0002. Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods
1082 -- 1099Rüdiger Verfürth, Pietro Zanotti. A Quasi-optimal Crouzeix-Raviart Discretization of the Stokes Equations
1100 -- 1123Matt Jacobs, Flavien Léger, Wuchen Li, Stanley J. Osher. Solving Large-Scale Optimization Problems with a Convergence Rate Independent of Grid Size
1124 -- 1157Michael Feischl. Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem
1158 -- 1182Zheng Sun, Chi-Wang Shu. Strong Stability of Explicit Runge-Kutta Time Discretizations
1183 -- 1204Saad Qadeer, Jon A. Wilkening. Computing the Dirichlet-Neumann Operator on a Cylinder
1205 -- 1237Sergio Amat, Juan Ruiz, Chi-Wang Shu. On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities
1238 -- 1262Yujie Liu, Junping Wang, Qingsong Zou. A Conservative Flux Optimization Finite Element Method for Convection-diffusion Equations
1263 -- 1288Pierson T. Guthrey, James A. Rossmanith. The Regionally Implicit Discontinuous Galerkin Method: Improving the Stability of DG-FEM
1289 -- 1317Wansheng Wang, Yingzi Chen, Hua Fang. On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance
1318 -- 1343Raimund Bürger, Paul E. Méndez, Ricardo Ruiz-Baier. On H(div)-conforming Methods for Double-diffusion Equations in Porous Media
1344 -- 1368Vahid Keshavarzzadeh, Robert M. Kirby, Akil C. Narayan. Convergence Acceleration for Time-Dependent Parametric Multifidelity Models
1369 -- 1394Tomás Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen, Zdenek Strakos. Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator
1395 -- 1410Chun'guang You, Hehu Xie, Xuefeng Liu. Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem
1411 -- 1444Andreas Langer, Fernando Gaspoz. Overlapping Domain Decomposition Methods for Total Variation Denoising
1445 -- 1470Dongling Wang, Jun Zou. Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations
1471 -- 1493Stephen Edward Moore. Space-Time Multipatch Discontinuous Galerkin Isogeometric Analysis for Parabolic Evolution Problems
1494 -- 1523Ana Maria Soane, Andrei Draganescu. Multigrid Preconditioners for the Newton-Krylov Method in the Optimal Control of the Stationary Navier-Stokes Equations
1524 -- 1544Mariam Al-Maskari, Samir Karaa. Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data

Volume 57, Issue 2

527 -- 546Thomas J. Murphy 0001, Noel J. Walkington. Control Volume Approximation of Degenerate Two-Phase Porous Flows
547 -- 562Art B. Owen. Effective Dimension of Some Weighted Pre-Sobolev Spaces with Dominating Mixed Partial Derivatives
563 -- 591Toshihiro Yamada. An Arbitrary High Order Weak Approximation of SDE and Malliavin Monte Carlo: Analysis of Probability Distribution Functions
592 -- 614Dietmar Gallistl, Endre Süli. Mixed Finite Element Approximation of the Hamilton-Jacobi-Bellman Equation with Cordes Coefficients
615 -- 637Sara N. Pollock, Leo G. Rebholz, Mengying Xiao. Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier-Stokes Equations
638 -- 656Lukasz Plociniczak. Numerical Method for the Time-Fractional Porous Medium Equation
657 -- 680Weizhu Bao, Rémi Carles, Chunmei Su, Qinglin Tang. Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation
681 -- 701Kaïs Ammari, Carlos Castro 0002. Numerical Approximation of the Best Decay Rate for Some Dissipative Systems
702 -- 727Chuchu Chen, Jialin Hong, Lihai Ji. Runge-Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise
728 -- 750Chuchu Chen, Jialin Hong, Lihai Ji. Mean-Square Convergence of a Semidiscrete Scheme for Stochastic Maxwell Equations
751 -- 778Ellya L. Kawecki. A Discontinuous Galerkin Finite Element Method fOR Uniformly Elliptic Two Dimensional Oblique Boundary-Value Problems
779 -- 798Binjie Li, Hao Luo 0006, Xiaoping Xie. Analysis of a Time-Stepping Scheme for Time Fractional Diffusion Problems with Nonsmooth Data
799 -- 827Imran H. Biswas, Indranil Chowdhury, Espen R. Jakobsen. On the Rate of Convergence for Monotone Numerical Schemes for Nonlocal Isaacs Equations
828 -- 853Konstantinos Chrysafinos, Efthymios N. Karatzas, Dimitrios Kostas. Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System
854 -- 874Zhijian He. On the Error Rate of Conditional Quasi-Monte Carlo for Discontinuous Functions
875 -- 898Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao. Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation
899 -- 924Marc Aurèle Gilles, Alex Townsend. Continuous Analogues of Krylov Subspace Methods for Differential Operators
925 -- 944Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart. Highly Oscillatory Problems with Time-Dependent Vanishing Frequency
945 -- 971Brittany Froese Hamfeldt. Convergence Framework for the Second Boundary Value Problem for the Monge-Ampère Equation

Volume 57, Issue 1

1 -- 26Alberto Paganini, Kevin Sturm. Weakly Normal Basis Vector Fields in RKHS with an Application to Shape Newton Methods
27 -- 43Fatemeh Mohammadi, Carmen Arévalo, Claus Führer. A Polynomial Formulation of Adaptive Strong Stability Preserving Multistep Methods
44 -- 69Josef Dick, Takashi Goda, Takehito Yoshiki. Richardson Extrapolation of Polynomial Lattice Rules
70 -- 95Chuchu Chen, Di Liu. Ergodic Approximation to Chemical Reaction System with Delay
96 -- 126Yonglin Li, Haijun Wu. FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation
127 -- 147Hwi Lee, Qiang Du. Asymptotically Compatible SPH-Like Particle Discretizations of One Dimensional Linear Advection Models
148 -- 172Martin Campos Pinto, Frédérique Charles, Bruno Després. Algorithms For Positive Polynomial Approximation
173 -- 191Haodi Chen, Genggeng Huang, Xu-Jia Wang. Convergence Rate Estimates for Aleksandrov's Solution to the Monge-Ampère Equation
192 -- 217Ting Wang, Petr Plechác. Steady-State Sensitivity Analysis of Continuous Time Markov Chains
218 -- 237Hong-lin Liao, William McLean, Jiwei Zhang. A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
238 -- 265Yu Du, Lu Zhang, Zhimin Zhang. Convergence Analysis of a Discontinuous Galerkin Method for Wave Equations in Second-Order Form
266 -- 292Andreas Veeser, Pietro Zanotti. Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. II - Overconsistency and Classical Nonconforming Elements
293 -- 319Lars Schmutz, Thomas P. Wihler. ∞-Stable
320 -- 354Huo-Yuan Duan, Zhijie Du, Wei Liu, Shangyou Zhang. New Mixed Elements for Maxwell Equations
355 -- 377Mark Ainsworth, Shuai Jiang. Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles
378 -- 403Andreas Neuenkirch, Michaela Szölgyenyi, Lukasz Szpruch. An Adaptive Euler-Maruyama Scheme for Stochastic Differential Equations with Discontinuous Drift and its Convergence Analysis
404 -- 428Philipp Grohs, Hanne Hardering, Oliver Sander, Markus Sprecher. Projection-Based Finite Elements for Nonlinear Function Spaces
429 -- 457Simon Baumstark, Katharina Schratz. Uniformly Accurate Oscillatory Integrators for the Klein-Gordon-Zakharov System from Low- to High-Plasma Frequency Regimes
458 -- 477Feng Bao, Lin Mu, Jin Wang. A Fully Computable A Posteriori Error Estimate for the Stokes Equations on Polytopal Meshes
478 -- 494Daniele Boffi, Lucia Gastaldi. Adaptive Finite Element Method for the Maxwell Eigenvalue Problem
495 -- 525Wenbin Chen, Xiaoming Wang, Yue Yan, Zhuying Zhang. A Second Order BDF Numerical Scheme with Variable Steps for the Cahn-Hilliard Equation