Journal: SIAM J. Numerical Analysis

Volume 46, Issue 6

2769 -- 2794Luca Formaggia, Alessandro Veneziani, Christian Vergara. A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics
2795 -- 2817C. Yalçin Kaya, Lyle Noakes. Leapfrog for Optimal Control
2818 -- 2842Sven Beuchler, Tino Eibner, Ulrich Langer. Primal and Dual Interface Concentrated Iterative Substructuring Methods
2843 -- 2866Sheng Zhang. Analysis of Finite Element Domain Embedding Methods for Curved Domains using Uniform Grids
2867 -- 2891Kazufumi Ito, Karl Kunisch. Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems
2892 -- 2919Gabriel Lord, Simon J. A. Malham, Anke Wiese. Efficient Strong Integrators for Linear Stochastic Systems
2920 -- 2952E. Carlini, M. Falcone, Nicolas Forcadel, Régis Monneau. Convergence of a Generalized Fast-Marching Method for an Eikonal Equation with a Velocity-Changing Sign
2953 -- 2977Pascal Getreuer, François G. Meyer. ENO Multiresolution Schemes with General Discretizations
2978 -- 3005Vera Thümmler. Numerical Approximation of Relative Equilibria for Equivariant PDEs
3006 -- 3031Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl. Polynomial Extension Operators. Part I
3032 -- 3070Franck Boyer, Florence Hubert. Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
3071 -- 3083C. T. Kelley, Li-Zhi Liao, Liqun Qi, Moody T. Chu, J. P. Reese, C. Winton. Projected Pseudotransient Continuation
3084 -- 3112Orazgeldy Kurbanmuradov, Karl Sabelfeld. Convergence of Fourier-Wavelet Models for Gaussian Random Processes
3113 -- 3135Timothy A. Lucas. Operator Splitting for an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms
3136 -- 3150Masoumeh Dashti, James C. Robinson. An A Posteriori Condition on the Numerical Approximations of the Navier-Stokes Equations for the Existence of a Strong Solution
3151 -- 3180Timothy Warburton, Thomas Hagstrom. Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes
3181 -- 3206Daniel Peterseim, Stefan A. Sauter. The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains
3207 -- 3232Mark Ainsworth, Richard Rankin. Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements
3233 -- 3263Mihaela Negreanu. Convergence of a Semidiscrete Two-Grid Algorithm for the Controllability of the 1-d Wave Equation
3264 -- 3284Erik G. Boman, Bruce Hendrickson, Stephen A. Vavasis. Solving Elliptic Finite Element Systems in Near-Linear Time with Support Preconditioners
3285 -- 3312David Borwein, Jonathan M. Borwein, Richard E. Crandall. Effective Laguerre Asymptotics

Volume 46, Issue 5

2211 -- 2237Jing-Mei Qiu, Chi-Wang Shu. Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps
2238 -- 2253Denis Gaidashev, Dmitry Khmelev. On Numerical Algorithms for the Solution of a Beltrami Equation
2254 -- 2275Yanping Chen, Nianyu Yi, Wenbin Liu. A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
2276 -- 2308Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu. Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations with Mass Diffusion
2309 -- 2345Fabio Nobile, Raúl Tempone, C. G. Webster. A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
2346 -- 2370Hyea Hyun Kim. A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization
2371 -- 2392Knut Waagan. Convergence Rate of Monotone Numerical Schemes for Hamilton-Jacobi Equations with Weak Boundary Conditions
2393 -- 2410Carsten Ebmeyer, W. B. Liu. Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations
2411 -- 2442Fabio Nobile, Raúl Tempone, C. G. Webster. An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
2443 -- 2468Marc Ethier, Yves Bourgault. Semi-Implicit Time-Discretization Schemes for the Bidomain Model
2469 -- 2483Andreas Prohl. Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics
2484 -- 2504Axel Klawonn, Oliver Rheinbach, Olof B. Widlund. An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane
2505 -- 2523Nicholas Hale, Nicholas J. Higham, Lloyd N. Trefethen. Computing A:::Alpha, ::: log(A), and Related Matrix Functions by Contour Integrals
2524 -- 2550J. Manuel Cascon, Christian Kreuzer, Ricardo H. Nochetto, Kunibert G. Siebert. Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
2551 -- 2566Brigitte Bidégaray-Fesquet. Stability of FD-TD Schemes for Maxwell-Debye and Maxwell-Lorentz Equations
2567 -- 2592E. E. Ovtchinnikov. Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation I: Computing an Extreme Eigenvalue
2593 -- 2619E. E. Ovtchinnikov. Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation II: Computing Several Extreme Eigenvalues
2620 -- 2635Shlomo Engelberg, Eitan Tadmor. Recovery of Edges from Spectral Data with Noise - A New Perspective
2636 -- 2661Jin Ma, Jie Shen, Yanhong Zhao. On Numerical Approximations of Forward-Backward Stochastic Differential Equations
2662 -- 2687Felix Kwok, Hamdi A. Tchelepi. Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous Media
2688 -- 2714Xin Wen, Shi Jin. The l:::1:::-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials
2715 -- 2741Nicolas Forcadel. An Error Estimate for a New Scheme for Mean Curvature Motion
2742 -- 2768Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen. A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method

Volume 46, Issue 4

1653 -- 1681Huiyuan Li, Jiachang Sun, Yuan Xu. Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle
1682 -- 1703Paola Gervasio. Convergence Analysis of High Order Algebraic Fractional Step Schemes for Time-Dependent Stokes Equations
1704 -- 1731Roland Becker, Xiaobing Feng, Andreas Prohl. Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow
1732 -- 1768E. Mordecki, A. Szepessy, Raúl Tempone, Georgios E. Zouraris. Adaptive Weak Approximation of Diffusions with Jumps
1769 -- 1779Eskil Hansen, Alexander Ostermann. Finite Element Runge-Kutta Discretizations of Porous Medium-Type Equations
1780 -- 1798Eric Heinemeyer, Marko Lindner, Roland Potthast. Convergence and Numerics of a Multisection Method for Scattering by Three-Dimensional Rough Surfaces
1799 -- 1820Eero Vainikko, Gennadi Vainikko. A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
1821 -- 1841Fuke Wu, Xuerong Mao. Numerical Solutions of Neutral Stochastic Functional Differential Equations
1842 -- 1866Julien Salomon, Alexander A. Weiss, Barbara I. Wohlmuth. Energy-Conserving Algorithms for a Corotational Formulation
1867 -- 1891Thomas Apel, Gunar Matthies. Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem
1892 -- 1911Peter N. Brown, Homer F. Walker, Rebecca Wasyk, Carol S. Woodward. On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods
1912 -- 1934Nathalie Lanson, Jean-Paul Vila. Renormalized Meshfree Schemes I: Consistency, Stability, and Hybrid Methods for Conservation Laws
1935 -- 1964Nathalie Lanson, Jean-Paul Vila. Renormalized Meshfree Schemes II: Convergence for Scalar Conservation Laws
1965 -- 1984Haotao Cai, Yuesheng Xu. A Fast Fourier-Galerkin Method for Solving Singular Boundary Integral Equations
1985 -- 1997Kirill Kopotun, Dany Leviatan, A. V. Prymak. Constrained Spline Smoothing
1998 -- 2021Yan Xu, Chi-Wang Shu. A Local Discontinuous Galerkin Method for the Camassa-Holm Equation
2022 -- 2038Mechthild Thalhammer. High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
2039 -- 2067Simone Deparis. Reduced Basis Error Bound Computation of Parameter-Dependent Navier-Stokes Equations by the Natural Norm Approach
2068 -- 2089Donald J. Estep, Simon Tavener, Tim Wildey. A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem
2090 -- 2111Hyea Hyun Kim. A BDDC Algorithm for Mortar Discretization of Elasticity Problems
2112 -- 2132Roger P. Pawlowski, Joseph P. Simonis, Homer F. Walker, John N. Shadid. Inexact Newton Dogleg Methods
2133 -- 2152Hong Wang. An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow
2153 -- 2168Clark R. Dohrmann, Axel Klawonn, Olof B. Widlund. Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions
2169 -- 2182Philipp Grohs. Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity
2183 -- 2209Hoi Ying Wong, Jing Zhao. An Artificial Boundary Method for American Option Pricing under the CEV Model

Volume 46, Issue 3

1097 -- 1115Leevan Ling, Robert Schaback. Stable and Convergent Unsymmetric Meshless Collocation Methods
1116 -- 1146Donald J. Estep, Victor Ginting, David L. Ropp, John N. Shadid, Simon Tavener. An A Posteriori-A Priori Analysis of Multiscale Operator Splitting
1147 -- 1165S. W. Schoombie, E. Maré. High Frequency Induced Instability in Nyström Methods for the van der Pol Equation
1166 -- 1189Luca Dieci, Erik S. Van Vleck. On the Error in QR Integration
1190 -- 1211Susanne C. Brenner, Fengyan Li, Li-Yeng Sung. A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems
1212 -- 1249Klaus Böhmer. On Finite Element Methods for Fully Nonlinear Elliptic Equations of Second Order
1250 -- 1265Bernardo Cockburn, Bo Dong, Johnny Guzmán. Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
1266 -- 1280Xiaojun Chen, Sayed Mahmoud. Implicit Runge-Kutta Methods for Lipschitz Continuous Ordinary Differential Equations
1281 -- 1297Runchang Lin, Zhimin Zhang. Natural Superconvergence Points in Three-Dimensional Finite Elements
1298 -- 1322Pierre Degond, Jian-Guo Liu, Marie Hélène Vignal. Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit
1323 -- 1337V. Faber, J. Liesen, P. Tichý. The Faber-Manteuffel Theorem for Linear Operators
1338 -- 1363Alfredo Bermúdez, Rodolfo Rodríguez, Pilar Salgado. A Finite Element Method for the Magnetostatic Problem in Terms of Scalar Potentials
1364 -- 1398Bernardo Cockburn, Johnny Guzmán. Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data
1399 -- 1422Lubomír Bañas, Sören Bartels, Andreas Prohl. A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation
1423 -- 1441Maria Emelianenko, Lili Ju, Alexander Rand. Nondegeneracy and Weak Global Convergence of the Lloyd Algorithm in R:::d:::
1442 -- 1453Ricardo G. Durán, Ariel L. Lombardi. Error Estimates for the Raviart-Thomas Interpolation Under the Maximum Angle Condition
1454 -- 1482Nailin Du. Finite-Dimensional Approximation Settings for Infinite-dimensional Moore-Penrose Inverses
1483 -- 1502Qiang Du, Maria Emelianenko. Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme
1503 -- 1518Bo Yu, Bo Dong. A Hybrid Polynomial System Solving Method for Mixed Trigonometric Polynomial Systems
1519 -- 1553Josef Dick. Walsh Spaces Containing Smooth Functions and Quasi-Monte Carlo Rules of Arbitrary High Order
1554 -- 1579Giuseppe Maria Coclite, Kenneth H. Karlsen, Nils Henrik Risebro. A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H:::1::: Initial Data
1580 -- 1601J. Wang, P. A. Forsyth. Maximal Use of Central Differencing for Hamilton-Jacobi-Bellman PDEs in Finance
1602 -- 1618Natalia Kopteva. Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem
1619 -- 1639E. Lee, Thomas A. Manteuffel, C. R. Westphal. Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities
1640 -- 1651Z. Cai, C. R. Westphal. A Weighted H(div) Least-Squares Method for Second-Order Elliptic Problems

Volume 46, Issue 2

545 -- 576Marcus Sarkis, Henrique Versieux. Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients
577 -- 613Massimo Fornasier, Holger Rauhut. Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints
614 -- 638Lars Diening, Christian Kreuzer. Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation
639 -- 670Nicolas Besse. Convergence of a High-Order Semi-Lagrangian Scheme with Propagation of Gradients for the One-Dimensional Vlasov-Poisson System
671 -- 690M. H. Annaby, R. M. Asharabi. On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems
691 -- 721Adrien Blanchet, Vincent Calvez, José A. Carrillo. Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model
722 -- 746Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler. Adaptive Multiprecision Path Tracking
747 -- 775Yaroslav Kondratyuk, Rob Stevenson. An Optimal Adaptive Finite Element Method for the Stokes Problem
776 -- 804Alexandre Ern, Jean-Luc Guermond. Discontinuous Galerkin Methods for Friedrichs Systems. Part III. Multifield Theories with Partial Coercivity
805 -- 831Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond. Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
832 -- 868Zhewei Dai, Patricia K. Lamm. Local Regularization for the Nonlinear Inverse Autoconvolution Problem
869 -- 894Denise Aregba-Driollet, Maya Briani, Roberto Natalini. Asymptotic High-Order Schemes for 2˟2 Dissipative Hyperbolic Systems
895 -- 919Vincent M. Devigne, I. S. Pop, C. J. van Duijn, T. Clopeau. A Numerical Scheme for the Pore-Scale Simulation of Crystal Dissolution and Precipitation in Porous Media
920 -- 929Xuli Han. Convexity-Preserving Piecewise Rational Quartic Interpolation
930 -- 948Nicholas Hale, Lloyd N. Trefethen. New Quadrature Formulas from Conformal Maps
949 -- 979Vivette Girault, Shuyu Sun, Mary F. Wheeler, Ivan Yotov. Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements
980 -- 995Dimitri Breda, M. Iannelli, Stefano Maset, Rossana Vermiglio. Stability Analysis of the Gurtin-MacCamy Model
996 -- 1011Amy L. Bauer, Raphaël Loubère, Burton Wendroff. On Stability of Staggered Schemes
1012 -- 1039Manuel J. Castro, José M. Gallardo, Juan A. López-García, Carlos Parés. Well-Balanced High Order Extensions of Godunov s Method for Semilinear Balance Laws
1060 -- 1078Julián Aguirre, Judith Rivas. A Spectral Viscosity Method Based on Hermite Functions for Nonlinear Conservation Laws
1079 -- 1095P. Zhuang, Fawang Liu, Vo Anh, Ian W. Turner. New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

Volume 46, Issue 1

1 -- 36Houman Owhadi, Lei Zhang. Homogenization of Parabolic Equations with a Continuum of Space and Time Scales
37 -- 60Olga Drblíková, Karol Mikula. Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing
61 -- 87Sören Bartels, Xiaobing Feng, Andreas Prohl. Finite Element Approximations of Wave Maps into Spheres
88 -- 102Jun Hu, Zhongci Shi. Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity
103 -- 123V. Gradinaru. Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids
124 -- 150Benoit Merlet. L:::INFINITY:::- and L:::2:::-Error Estimates for a Finite Volume Approximation of Linear Advection
151 -- 179Volker John, William J. Layton, Carolina C. Manica. Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations
180 -- 200Christian Jansson, Denis Chaykin, Christian Keil. Rigorous Error Bounds for the Optimal Value in Semidefinite Programming
201 -- 230Javier de Frutos, Bosco García-Archilla, Julia Novo. The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds
231 -- 259Xu Da. 1 Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence
260 -- 279Zhangxin Chen, Tatyana Y. Savchuk. Analysis of the Multiscale Finite Element Method for Nonlinear and Random Homogenization Problems
280 -- 294Marios Charalambides, Fabian Waleffe. Spectrum of the Jacobi Tau Approximation for the Second Derivative Operator
295 -- 324Xiaoying Dai, Aihui Zhou. Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems
325 -- 343Zheng Ran. Lie Symmetry Preservation and Shock-Capturing Methods
344 -- 364Amiya Kumar Pani, Graeme Fairweather, Ryan I. Fernandes. Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term
365 -- 396T. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, V. Vasylyk. Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space
397 -- 418Abeer Ali Abushama, Bernard Bialecki. Modified Nodal Cubic Spline Collocation For Poisson s Equation
419 -- 436Herbert Egger. Y-Scale Regularization
437 -- 471Erika Hausenblas. Finite Element Approximation of Stochastic Partial Differential Equations driven by Poisson Random Measures of Jump Type
472 -- 495Yan Gong, Bo Li, Zhilin Li. Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
496 -- 516Talal Rahman, Petter E. Bjørstad, Xuejun Xu. The Crouzeix-Raviart FE on Nonmatching Grids with an Approximate Mortar Condition
517 -- 543Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, S. A. Sauter. Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement