Journal: SIAM J. Numerical Analysis

Volume 44, Issue 6

2245 -- 2269Jean-Baptiste Apoung Kamga, Bruno Després. CFL Condition and Boundary Conditions for DGM Approximation of Convection-Diffusion
2270 -- 2296Markos A. Katsoulakis, Petr Plechác, Alexandros Sopasakis. Error Analysis of Coarse-Graining for Stochastic Lattice Dynamics
2297 -- 2325Fatih Celiker, Bernardo Cockburn, Henry K. Stolarski. Locking-Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams
2326 -- 2341Xiaojun Chen, Robert S. Womersley. Existence of Solutions to Systems of Underdetermined Equations and Spherical Designs
2342 -- 2362J. A. C. Weideman. Optimizing Talbot s Contours for the Inversion of the Laplace Transform
2363 -- 2388Alexandre Ern, Jean-Luc Guermond. Discontinuous Galerkin Methods for Friedrichs Systems. Part II. Second-order Elliptic PDEs
2389 -- 2407Jörg Peters, Xiaobin Wu. On the Local Linear Independence of Generalized Subdivision Functions
2408 -- 2431Marcus J. Grote, Anna Schneebeli, Dominik Schötzau. Discontinuous Galerkin Finite Element Method for the Wave Equation
2432 -- 2455Jing Li, Olof B. Widlund. BDDC Algorithms for Incompressible Stokes Equations
2456 -- 2480Jian-Guo Liu, Wei Cheng Wang. Convergence Analysis of the Energy and Helicity Preserving Scheme for Axisymmetric Flows
2481 -- 2504Michael Eiermann, Oliver G. Ernst. A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions
2505 -- 2538Emmanuel Gobet, Gilles Pagès, Huyên Pham, Jacques Printems. Discretization and Simulation of the Zakai Equation
2539 -- 2558Lizhen Qin, Xuejun Xu. On a Parallel Robin-Type Nonoverlapping Domain Decomposition Method
2559 -- 2583Rong-Xian Yue, Fred J. Hickernell. Strong Tractability of Quasi-Monte Carlo Quadrature Using Nets for Certain Banach Spaces
2584 -- 2609Juan C. Jiménez, L. M. Pedroso, Felix Carbonell, V. Hernandez. Local Linearization Method for Numerical Integration of Delay Differential Equations
2610 -- 2632Stéphane Menozzi. Improved Simulation for the Killed Brownian Motion in a Cone
2633 -- 2649Constantin Bacuta. A Unified Approach for Uzawa Algorithms
2650 -- 2670Béatrice Rivière, Simon Shaw. Discontinuous Galerkin Finite Element Approximation of Nonlinear Non-Fickian Diffusion in Viscoelastic Polymers
2671 -- 2698K. G. van der Zee, E. H. van Brummelen, R. de Borst. An H:::1:::(P:::h:::)-Coercive Discontinuous Galerkin Formulation for the Poisson Problem: 1D Analysis

Volume 44, Issue 5

1801 -- 1828Shi Jin, Xin Wen. A Hamiltonian-Preserving Scheme for the Liouville Equation of Geometrical Optics with Partial Transmissions and Reflections
1829 -- 1853Alfredo Bermúdez, Maria R. Nogueiras, Carlos Vázquez. Numerical Analysis of Convection-Diffusion-Reaction Problems with Higher Order Characteristics/Finite Elements. Part I: Time Discretization
1854 -- 1876Alfredo Bermúdez, Maria R. Nogueiras, Carlos Vázquez. Numerical Analysis of Convection-Diffusion-Reaction Problems with Higher Order Characteristics/Finite Elements. Part II: Fully Discretized Scheme and Quadrature Formulas
1877 -- 1902Kit Hung Chan, Keke Zhang, Jun Zou. Spherical Interface Dynamos: Mathematical Theory, Finite Element Approximation, and Application
1903 -- 1920Arnd Rösch, Boris Vexler. Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
1921 -- 1953Katarina Jegdic, Robert L. Jerrard. Convergence of an Implicit Spacetime Godunov Finite Volume Method for a Class of Hyperbolic Systems
1954 -- 1973Francesca Mazzia, Alessandra Sestini, Donato Trigiante. B-Spline Linear Multistep Methods and their Continuous Extensions
1974 -- 1996E. Lee, Thomas A. Manteuffel, C. R. Westphal. Weighted-Norm First-Order System Least Squares (FOSLS) for Problems with Corner Singularities
1997 -- 2024Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fishelov. Convergence of a Compact Scheme for the Pure Streamfunction Formulation of the Unsteady Navier-Stokes System
2025 -- 2056Sandro Manservisi. Numerical Analysis of Vanka-Type Solvers for Steady Stokes and Navier-Stokes Flows
2057 -- 2081Thomas A. Manteuffel, Stephen F. McCormick, J. G. Schmidt, C. R. Westphal. First-Order System Least Squares for Geometrically Nonlinear Elasticity
2082 -- 2106Mary F. Wheeler, Ivan Yotov. A Multipoint Flux Mixed Finite Element Method
2107 -- 2130Ralf Hiptmair, P. Meury. Stabilized FEM-BEM Coupling for Helmholtz Transmission Problems
2131 -- 2158Eric T. Chung, Björn Engquist. Optimal Discontinuous Galerkin Methods for Wave Propagation
2159 -- 2197Santiago Badia, Ramon Codina. Analysis of a Stabilized Finite Element Approximation of the Transient Convection-Diffusion Equation Using an ALE Framework
2198 -- 2226Annalisa Buffa, Ilaria Perugia. Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
2227 -- 2243Lidia Aceto, Paolo Ghelardoni, Giovanni Gheri. An Algebraic Procedure for the Spectral Corrections Using the Miss-Distance Functions in Regular and Singular Sturm-Liouville Problems

Volume 44, Issue 4

1351 -- 1374M. C. De Bonis, Giuseppe Mastroianni. Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations
1375 -- 1404Clint Dawson. Analysis of Discontinuous Finite Element Methods for Ground Water/Surface Water Coupling
1405 -- 1419Sören Bartels, Andreas Prohl. Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation
1420 -- 1440A. Buffa, T. J. R. Hughes, G. Sangalli. Analysis of a Multiscale Discontinuous Galerkin Method for Convection-Diffusion Problems
1441 -- 1465J. P. Coleman, Liviu Gr. Ixaru. Truncation Errors in Exponential Fitting for Oscillatory Problems
1466 -- 1486Jinwoo Lee, Dongwoo Sheen. A Parallel Method for Backward Parabolic Problems Based on the Laplace Transformation
1487 -- 1513Ivan G. Graham, William McLean. Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners
1514 -- 1534Hyea Hyun Kim, Olof B. Widlund. Two-Level Schwarz Algorithms with Overlapping Subregions for Mortar Finite Elements
1535 -- 1555Stefania Bellavia, Benedetta Morini. Subspace Trust-Region Methods for Large Bound-Constrained Nonlinear Equations
1556 -- 1583M. Lukácová-Medvidová, G. Warnecke, Y. Zahaykah. On the Stability of Evolution Galerkin Schemes Applied to a Two-Dimensional Wave Equation System
1612 -- 1638Erik Burman, Paolo Zunino. A Domain Decomposition Method Based on Weighted Interior Penalties for Advection-Diffusion-Reaction Problems
1639 -- 1654Songul Kaya, William Layton, Béatrice Rivière. Subgrid Stabilized Defect Correction Methods for the Navier-Stokes Equations
1655 -- 1680Helge Holden, Xavier Raynaud. Convergence of a Finite Difference Scheme for the Camassa-Holm Equation
1681 -- 1702Yubin Yan. Postprocessing the Finite Element Method for Semilinear Parabolic Problems
1703 -- 1720Qiang Zhang, Chi-Wang Shu. Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws
1721 -- 1734Zhiqiang Cai, JaEun Ku. The L:::2::: Norm Error Estimates for the Div Least-Squares Method
1735 -- 1758Inmaculada Higueras. Strong Stability for Additive Runge-Kutta Methods
1759 -- 1779Chuanju Xu, Tao Tang. Stability Analysis of Large Time-Stepping Methods for Epitaxial Growth Models
1780 -- 1800Leevan Ling. Finding Numerical Derivatives for Unstructured and Noisy Data by Multiscale Kernels

Volume 44, Issue 3

897 -- 907Greg Kuperberg. Numerical Cubature Using Error-Correcting Codes
908 -- 935Greg Kuperberg. Numerical Cubature from Archimedes Hat-box Theorem
936 -- 948Thomas Pok-Yin Yu. How Data Dependent is a Nonlinear Subdivision Scheme? A Case Study Based on Convexity Preserving Subdivision
949 -- 978Serge Nicaise. A Posteriori Error Estimations of Some Cell Centered Finite Volume Methods for Diffusion-Convection-Reaction Problems
979 -- 1004Daniele Boffi, Martin Costabel, Monique Dauge, Leszek F. Demkowicz. Discrete Compactness for the hp Version of Rectangular Edge Finite Elements
1005 -- 1025Burak Aksoylu, Michael Holst. Optimality of Multilevel Preconditioners for Local Mesh Refinement in Three Dimensions
1026 -- 1048Daan Huybrechs, Stefan Vandewalle. On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
1049 -- 1072Xiaobing Feng. Fully Discrete Finite Element Approximations of the Navier-Stokes-Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
1073 -- 1094Thomas Strohmer, Jared Tanner. Fast Reconstruction Methods for Bandlimited Functions from Periodic Nonuniform Sampling
1095 -- 1121Tom Lyche, Jean-Louis Merrien. C1 Interpolatory Subdivision with Shape Constraints for Curves
1122 -- 1149Graeme Fairweather, Qun Lin, Yanping Lin, Junping Wang, Shuhua Zhang. Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods
1150 -- 1171Todd Arbogast, Kirsten J. Boyd. Subgrid Upscaling and Mixed Multiscale Finite Elements
1172 -- 1190Lars Diening, Andreas Prohl, Michael Ruzicka. Semi-implicit Euler Scheme for Generalized Newtonian Fluids
1191 -- 1217E. Bécache, A. S. Bonnet-Ben Dhia, G. Legendre. Perfectly Matched Layers for Time-Harmonic Acoustics in the Presence of a Uniform Flow
1218 -- 1247John W. Barrett, Robert Nürnberg, Mark R. E. Warner. Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film
1248 -- 1274Erik Burman, Miguel A. Fernández, Peter Hansbo. Continuous Interior Penalty Finite Element Method for Oseen s Equations
1275 -- 1296Chris Siefert, Eric de Sturler. Preconditioners for Generalized Saddle-Point Problems
1297 -- 1313Selim Esedoglu. Stability Properties of the Perona-Malik Scheme
1314 -- 1331M. Ganesh, H. N. Mhaskar. Matrix-free Interpolation on the Sphere
1332 -- 1350María López-Fernández, Cesar Palencia, Achim Schädle. A Spectral Order Method for Inverting Sectorial Laplace Transforms

Volume 44, Issue 2

449 -- 477L. Badea. Convergence Rate of a Schwarz Multilevel Method for the Constrained Minimization of Nonquadratic Functionals
478 -- 493Joseph E. Pasciak, Yanqiu Wang. A Multigrid Preconditioner for the Mixed Formulation of Linear Plane Elasticity
494 -- 514Alan Demlow. Localized pointwise a posteriori error estimates for gradients of piecewise linear finite element approximations to second-order quasilinear elliptic problems
515 -- 539Do Wan Kim, Wing Kam Liu. Maximum principle and convergence analysis for the meshfree point collocation method
540 -- 560Travis M. Austin, Thomas A. Manteuffel. A Least-Squares Finite Element Method for the Linear Boltzmann Equation with Anisotropic Scattering
561 -- 585Shujuan Lü, Qishao Lu. Fourier Spectral Approximation to Long-time Behavior of Dissipative Generalized KdV-Burgers Equations
586 -- 612Oksana Korostyshevskaya, Susan E. Minkoff. A Matrix Analysis of Operator-Based Upscaling for the Wave Equation
613 -- 635L. Lopez, V. Simoncini. Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
636 -- 654Adel Blouza, Frédéric Hecht, Hervé Le Dret. Two Finite Element Approximations of Naghdi s Shell Model in Cartesian Coordinates
655 -- 676A. K. B. Chand, G. P. Kapoor. Generalized Cubic Spline Fractal Interpolation Functions
677 -- 698Matthias Geissert. Discrete Maximal Lp Regularity for Finite Element Operators
699 -- 731Martin J. Gander. Optimized Schwarz Methods
732 -- 752Huo-Yuan Duan, Ping Lin, P. Saikrishnan, Roger C. E. Tan. L2-Projected Least-Squares Finite Element Methods for the Stokes Equations
753 -- 778Alexandre Ern, Jean-Luc Guermond. Discontinuous Galerkin Methods for Friedrichs Systems. I. General theory
779 -- 803Evelyn Buckwar, Renate Winkler. Multistep methods for SDEs and their application to problems with small noise
804 -- 825Amiya K. Pani, Jin Yun Yuan, Pedro D. Damázio. On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One
826 -- 850Christine Bernardi, Nejmeddine Chorfi. Spectral Discretization of the Vorticity, Velocity, and Pressure Formulation of the Stokes Problem
851 -- 864Mechthild Thalhammer. A fourth-order commutator-free exponential integrator for nonautonomous differential equations
865 -- 878Radu Alexandru Todor. Robust Eigenvalue Computation for Smoothing Operators
879 -- 895Adam M. Oberman. Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton-Jacobi Equations and Free Boundary Problems

Volume 44, Issue 1

1 -- 28Hongsen Chen. Pointwise Error Estimates for Finite Element Solutions of the Stokes Problem
29 -- 40F. Tone, D. Wirosoetisno. On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier-Stokes Equations
41 -- 54Albrecht Böttcher. On the Problem of Testing the Structure of a Matrix by Displacement Operations
55 -- 65Eskil Hansen. Convergence of Multistep Time Discretizations of Nonlinear Dissipative Evolution Equations
66 -- 81Herbert Egger. Semi-iterative Regularization in Hilbert Scales
82 -- 101Pavel B. Bochev, Clark R. Dohrmann, Max Gunzburger. Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
102 -- 119Qiang Du, Maria Emelianenko, Lili Ju. Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations
120 -- 138Thomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle, John Ruge. Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results
139 -- 152Thomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle. Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical Results
153 -- 182Martin Burger, Barbara Kaltenbacher. Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems
183 -- 198Xiu Ye. A Discontinuous Finite Volume Method for the Stokes Problems
199 -- 223Susanne C. Brenner, Li-Yeng Sung. Multigrid Algorithms for C0 Interior Penalty Methods
224 -- 245Hermann Brunner, Dominik Schötzau. hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
246 -- 269Benqi Guo. Approximation Theory for the p-Version of the Finite Element Method in Three Dimensions. Part 1: Approximabilities of Singular Functions in the Framework of the Jacobi-Weighted Besov and Sobolev Spaces
270 -- 282Clark R. Dohrmann, Richard B. Lehoucq. A Primal-Based Penalty Preconditioner for Elliptic Saddle Point Systems
283 -- 299N. Dokeva, Maksymilian Dryja, W. Proskurowski. A FETI-DP Preconditioner with A Special Scaling for Mortar Discretization of Elliptic Problems with Discontinuous Coefficients
300 -- 321Carlos Parés. Numerical methods for nonconservative hyperbolic systems: a theoretical framework
322 -- 348Rodolfo Araya, Gabriel R. Barrenechea, Frédéric Valentin. Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem
349 -- 366Konstantinos Chrysafinos, Noel Walkington. Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations
367 -- 384Valery Agoshkov, Alfio Quarteroni, Gianluigi Rozza. Shape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory
385 -- 411Gottlieb Pirsic, Josef Dick, Friedrich Pillichshammer. Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces
412 -- 448Mihaela Negreanu, Enrique Zuazua. Discrete Ingham Inequalities and Applications