Journal: SIAM J. Numerical Analysis

Volume 45, Issue 6

2259 -- 2297Philippe Poncet. Analysis of Direct Three-Dimensional Parabolic Panel Methods
2298 -- 2320Long Chen, Michael J. Holst, Jinchao Xu. The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation
2321 -- 2344Sven Beuchler, Sergey V. Nepomnyaschikh. Overlapping Additive Schwarz Preconditioners for Elliptic Problems with Degenerate Locally Anisotropic Coefficients
2345 -- 2367Daniele Bertaccini, Fabio Di Benedetto. Spectral Analysis of Nonsymmetric Quasi-Toeplitz matrices with Applications to Preconditioned Multistep Formulas
2368 -- 2391Weiming Cao. An Interpolation Error Estimate on Anisotropic Meshes in R:::n::: and Optimal Metrics for Mesh Refinement
2392 -- 2407Leopoldo P. Franca, Volker John, Gunar Matthies, Lutz Tobiska. An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations
2408 -- 2441Alina Chertock, Alexander Kurganov, Yurii Rykov. A New Sticky Particle Method for Pressureless Gas Dynamics
2442 -- 2467Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang. Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction
2468 -- 2482Yvon Maday, Julien Salomon, Gabriel Turinici. Monotonic Parareal Control for Quantum Systems
2483 -- 2509Ralf Hiptmair, Jinchao Xu. Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
2510 -- 2536Ed Bueler. Error Bounds for Approximate Eigenvalues of Periodic-Coefficient Linear Delay Differential Equations
2537 -- 2563Huo-Yuan Duan, Ping Lin, P. Saikrishnan, Roger C. E. Tan. A Least-Squares Finite Element Method for the Magnetostatic Problem in A Multiply Connected Lipschitz Domain
2564 -- 2576Wolfgang Gawronski, Jürgen Müller 0002, Martin Reinhard. Reduced Cancellation in the Evaluation of Entire Functions and Applications to the Error Function
2577 -- 2609Donald E. Marshall, Steffen Rohde. Convergence of a Variant of the Zipper Algorithm for Conformal Mapping
2610 -- 2636Nicolas Bissantz, Thorsten Hohage, Axel Munk, Frits Ruymgaart. Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications
2637 -- 2652M. I. M. Copetti. Numerical Analysis of a Unilateral Problem in Planar Thermoelasticity
2653 -- 2670Christine Bernardi, Adel Blouza. Spectral Discretization of a Naghdi Shell Model
2671 -- 2696Ralf Hartmann. Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations

Volume 45, Issue 5

1801 -- 1813Mo Mu, Jinchao Xu. A Two-Grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous Media Flow
1814 -- 1842Laurent O. Jay. Specialized Partitioned Additive Runge-Kutta Methods for Systems of Overdetermined DAEs with Holonomic Constraints
1843 -- 1870T. Tachim Medjo. A Small Eddy Correction Method for a 3D Navier-Stokes-Type System of Equations Related to the Primitive Equations of the Ocean
1871 -- 1901Rong Wang, Raymond J. Spiteri. Linear Instability of the Fifth-Order WENO Method
1902 -- 1936Stefan Nilsson, N. Anders Petersson, Björn Sjögreen, Heinz-Otto Kreiss. Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation
1937 -- 1953Klaus Deckelnick, Michael Hinze. Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
1954 -- 1978Jie Shen, Li-lian Wang. Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains
1979 -- 2011Emiliano Cristiani, Maurizio Falcone. Fast Semi-Lagrangian Schemes for the Eikonal Equation and Applications
2012 -- 2031Patrick Hild, Yves Renard. An Error Estimate for the Signorini Problem with Coulomb Friction Approximated by Finite Elements
2032 -- 2046Randolph E. Bank, Jinchao Xu, Bin Zheng. Superconvergent Derivative Recovery for Lagrange Triangular Elements of Degree p on Unstructured Grids
2047 -- 2071L. Beirão da Veiga, J. Niiranen, Rolf Stenberg. A Family of C:::0::: Finite Elements For Kirchhoff Plates I: Error Analysis
2072 -- 2097Gabriel N. Gatica, Antonio Márquez, Salim Meddahi. Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem
2098 -- 2119Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice. High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems
2120 -- 2140Vincent J. Ervin, Hyesuk Lee. Numerical Approximation of a Quasi-Newtonian Stokes Flow Problem with Defective Boundary Conditions
2141 -- 2176Josef Dick. Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions
2177 -- 2200Weizhu Bao, Hanquan Wang. A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates
2201 -- 2227Benjamin Hackl. Methods for Reliable Topology Changes for Perimeter-Regularized Geometric Inverse Problems
2228 -- 2258Claire Chainais-Hillairet, Jérôme Droniou. Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media

Volume 45, Issue 4

1349 -- 1369Jaap J. W. van der Vegt, Ferenc Izsák, Onno Bokhove. Error Analysis of a Continuous-Discontinuous Galerkin Finite Element Method for Generalized 2D Vorticity Dynamics
1370 -- 1397Christoph Ortner, Endre Süli. Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems
1398 -- 1424Sarah Day, Jean-Philippe Lessard, Konstantin Mischaikow. Validated Continuation for Equilibria of PDEs
1425 -- 1452Hongyun Wang. Convergence of a Numerical Method for Solving Discontinuous Fokker-Planck Equations
1453 -- 1471Huazhong Tang, Gerald Warnecke. On Convergence of a Domain Decomposition Method for a Scalar Conservation Law
1472 -- 1494Mario Bebendorf. Why Finite Element Discretizations Can Be Factored by Triangular Hierarchical Matrices
1495 -- 1516Owe Axelsson, János Karátson. Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
1517 -- 1543Paul Deuring. A Finite Element Method for 3D Exterior Oseen Flows: Error Estimates
1544 -- 1569Andris Lasis, Endre Süli. hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems
1570 -- 1599Martin Vohralík. A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
1600 -- 1621Sebastiano Boscarino. Error Analysis of IMEX Runge-Kutta Methods Derived from Differential-Algebraic Systems
1622 -- 1638Leo G. Rebholz. An Energy- and Helicity-Conserving Finite Element Scheme for the Navier-Stokes Equations
1639 -- 1653So-Hsiang Chou, Xiu Ye. Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
1654 -- 1678Andrea Cangiani, Endre Süli. The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions
1679 -- 1700Sven Groß, Arnold Reusken. Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows
1701 -- 1722Haijun Wu, Zhimin Zhang. Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes?
1723 -- 1741Peter Giesl, Holger Wendland. Meshless Collocation: Error Estimates with Application to Dynamical Systems
1742 -- 1776Bernardo Cockburn, Jayadeep Gopalakrishnan, Haiying Wang. Locally Conservative Fluxes for the Continuous Galerkin Method
1777 -- 1798Mark Ainsworth. A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
1799 -- 1800Borislav Bojanov, Yuan Xu. Erratum: On a Hermite interpolation by polynomials of two variables

Volume 45, Issue 3

905 -- 927John W. Barrett, Sören Bartels, Xiaobing Feng, Andreas Prohl. A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres
928 -- 945Sergey I. Repin, Stefan Sauter, Anton Smolianski. Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems
946 -- 968Isabelle Greff. Nonconforming Box-Schemes for Elliptic Problems on Rectangular Grids
969 -- 985S. González-Pinto, D. Hernández-Abreu. On the Contractivity and Convergence of General Linear Methods on Semi-Infinite Intervals
986 -- 1004Hermann Brunner, Qiya Hu. Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type
1005 -- 1034Ivo Babuska, Fabio Nobile, Raúl Tempone. A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
1035 -- 1044Yvan Notay. Convergence Analysis of Perturbed Two-Grid and Multigrid Methods
1045 -- 1063Kou-Kung Alex Chang. The Stability of Front-Tracking Scheme for Two Spatial Dimensional Miscible Two Phase Flow
1064 -- 1080Jeffrey S. Ovall. Function, Gradient, and Hessian Recovery Using Quadratic Edge-Bump Functions
1081 -- 1106C. V. Pao. Numerical Methods for Quasi-Linear Elliptic Equations with Nonlinear Boundary Conditions
1107 -- 1108J. M. Peña. Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number
1109 -- 1121Jürgen Hartinger, Volker Ziegler. On Corner Avoidance Properties of Random-Start Halton Sequences
1122 -- 1141Bernd Hofmann, Peter Mathé. Analysis of Profile Functions for General Linear Regularization Methods
1142 -- 1174Sarah Delcourte, Komla Domelevo, Pascal Omnes. A Discrete Duality Finite Volume Approach to Hodge Decomposition and div-curl Problems on Almost Arbitrary Two-Dimensional Meshes
1175 -- 1199Markus Holtz, Angela Kunoth. B-Spline-Based Monotone Multigrid Methods
1200 -- 1225Gang Xie, Thomas Pok-Yin Yu. Smoothness Equivalence Properties of Manifold-Valued Data Subdivision Schemes Based on the Projection Approach
1226 -- 1245M. N. Spijker. Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
1246 -- 1268Marco Discacciati, Alfio Quarteroni, Alberto Valli. Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling
1269 -- 1286Junping Wang, Xiu Ye. New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
1287 -- 1304Chun Liu, Noel Walkington. Convergence of Numerical Approximations of the Incompressible Navier-Stokes Equations with Variable Density and Viscosity
1305 -- 1329Hong Wang, Kaixin Wang. Uniform Estimates for Eulerian-Lagrangian Methods for Singularly Perturbed Time-Dependent Problems
1330 -- 1347Xudong Yao, Jianxin Zhou. Unified Convergence Results on a Minimax Algorithm for Finding Multiple Critical Points in Banach Spaces

Volume 45, Issue 2

457 -- 472Lars Diening, Carsten Ebmeyer, Michael Ruzicka. Optimal Convergence for the Implicit Space-Time Discretization of Parabolic Systems with p-Structure
473 -- 483Amin Boumenir, Vu Kim Tuan. Sampling Eigenvalues in Hardy Spaces
500 -- 513Zdenek Dostál, David Horák. Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities
514 -- 538Andreas Dedner, Charalambos Makridakis, Mario Ohlberger. Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws
539 -- 557T. J. R. Hughes, G. Sangalli. Variational Multiscale Analysis: the Fine-scale Green s Function, Projection, Optimization, Localization, and Stabilized Methods
558 -- 571Thomas Schmelzer, Lloyd N. Trefethen. Computing the Gamma Function Using Contour Integrals and Rational Approximations
572 -- 591Vincent J. Ervin, Norbert Heuer, John Paul Roop. Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional Diffusion Equation
592 -- 609Desmond J. Higham, Xuerong Mao, Chenggui Yuan. Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
610 -- 640Simon N. Chandler-Wilde, Stephen Langdon. A Galerkin Boundary Element Method for High Frequency Scattering by Convex Polygons
641 -- 665Ohannes A. Karakashian, Frédéric Pascal 0002. Convergence of Adaptive Discontinuous Galerkin Approximations of Second-Order Elliptic Problems
666 -- 697Martin J. Gander, Laurence Halpern. Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
698 -- 730Benqi Guo, Weiwei Sun. The Optimal Convergence of the h-p Version of the Finite Element Method with Quasi-Uniform Meshes
731 -- 745Garvin Danisch, Gerhard Starke. First-Order System Least-Squares for Darcy-Stokes Flow
746 -- 769Bernhard Beckermann, Stefano Serra Capizzano. On the Asymptotic Spectrum of Finite Element Matrix Sequences
770 -- 786Bernardo de la Calle Ysern, Franz Peherstorfer. Ultraspherical Stieltjes Polynomials and Gauss-Kronrod Quadrature Behave Nicely for Lambda< 0
787 -- 809Eunjung Lee, Thomas A. Manteuffel. FOSLL∗ Method for the Eddy Current Problem with Three-Dimensional Edge Singularities
810 -- 836Florian Frühauf, Bastian Gebauer, Otmar Scherzer. Detecting Interfaces in a Parabolic-Elliptic Problem from Surface Measurements
837 -- 869Yinnian He, Weiwei Sun. Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations
870 -- 889Gabriel J. Lord, Tony Shardlow. Postprocessing for Stochastic Parabolic Partial Differential Equations
890 -- 904Konstantin Avrachenkov, Nelly Litvak, Danil Nemirovsky, Natalia Osipova. Monte Carlo Methods in PageRank Computation: When One Iteration is Sufficient

Volume 45, Issue 1

1 -- 36Robert Eymard, Raphaèle Herbin, Jean-Claude Latché. Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General 2D or 3D Meshes
37 -- 53L. Banjai, S. Sauter. A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems
54 -- 67Sergej Rjasanow, Wolfgang Wagner. Time Splitting Error in DSMC Schemes for the Spatially Homogeneous Inelastic Boltzmann Equation
68 -- 82Carsten Carstensen, Jun Hu, Antonio Orlando. Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements
83 -- 107Jianliang Qian, Yong-Tao Zhang, Hong-Kai Zhao. Fast Sweeping Methods for Eikonal Equations on Triangular Meshes
108 -- 132Yuan Xu, Oleg Tischenko, Christoph Hoeschen. Approximation and Reconstruction from Attenuated Radon Projections
133 -- 162Rob Stevenson. Composite Wavelet Bases with Extended Stability and Cancellation Properties
163 -- 192Thirupathi Gudi, Amiya K. Pani. Discontinuous Galerkin Methods for Quasi-Linear Elliptic Problems of Nonmonotone Type
193 -- 205Mark A. Taylor, Beth A. Wingate, Len P. Bos. A Cardinal Function Algorithm for Computing Multivariate Quadrature Points
206 -- 222Jan Maes, Angela Kunoth, Adhemar Bultheel. BPX-type Preconditioners for Second and Fourth Order Elliptic Problems on the Sphere
223 -- 235Thomas F. Russell, Mary F. Wheeler, Ivan Yotov. Superconvergence for Control-Volume Mixed Finite Element Methods on Rectangular Grids
236 -- 262M. Neher, Kenneth R. Jackson, Nedialko S. Nedialkov. On Taylor Model Based Integration of ODEs
263 -- 276K. I. Dickson, C. T. Kelley, Ilse C. F. Ipsen, I. G. Kevrekidis. Condition Estimates for Pseudo-Arclength Continuation
277 -- 295Gabriel Acosta, María G. Armentano, Ricardo G. Durán, Ariel L. Lombardi. Finite Element Approximations in a NonLipschitz Domain
296 -- 312Fang Liu, Aihui Zhou. Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind
313 -- 332Ping Lin. Convergence Analysis of a Quasi-Continuum Approximation for a Two-Dimensional Material Without Defects
333 -- 351Robert Schaback. Convergence of Unsymmetric Kernel-Based Meshless Collocation Methods
352 -- 370Jun Shen, Chi-Wang Shu, Mengping Zhang. High Resolution Schemes for a Hierarchical Size-Structured Model
371 -- 388Gerhard Starke. An Adaptive Least-Squares Mixed Finite Element Method for Elasto-Plasticity
389 -- 420Juan E. Santos, Dongwoo Sheen. Finite Element Methods for the Simulation of Waves in Composite Saturated Poroviscoelastic Media
421 -- 442Alan Demlow, Gerhard Dziuk. An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces
443 -- 455Givi Berikelashvili, Murli M. Gupta, Manana Mirianashvili. Convergence of Fourth Order Compact Difference Schemes for Three-Dimensional Convection-Diffusion Equations