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    Journal: SIAM J. Numerical Analysis

    Volume 43, Issue 6

    2251 -- 2271Wolfgang Dahmen, Helmut Harbrecht, Reinhold Schneider. Compression Techniques for Boundary Integral Equations - Asymptotically Optimal Complexity Estimates
    2272 -- 2293Xavier Antoine, Christophe Besse, Stéphane Descombes. Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
    2294 -- 2319Carsten Carstensen, Wenbin Liu, Ningning Yan. A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian
    2320 -- 2343Rajen K. Sinha, Richard E. Ewing, Raytcho D. Lazarov. Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data
    2344 -- 2370Robert Eymard, Thierry Gallouët. Analytical and Numerical Study of a Model of Erosion and Sedimentation
    2371 -- 2401Jianliang Qian. Approximations for Viscosity Solutions of Hamilton-Jacobi Equations With Locally Varying Time and Space Grids
    2402 -- 2422Guillaume Enchéry, Robert Eymard, A. Michel. Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces
    2423 -- 2449Vladimir Jovanovic, Christian Rohde. Error Estimates for Finite Volume Approximations of Classical Solutions for Nonlinear Systems of Hyperbolic Balance Laws
    2450 -- 2477Stephen Langdon, Simon N. Chandler-Wilde. A Wavenumber Independent Boundary Element Method for an Acoustic Scattering Problem
    2478 -- 2499Konstantinos Chrysafinos, Noel Walkington. Error Estimates for Discontinuous Galerkin Approximations of Implicit Parabolic Equations
    2500 -- 2516Liwen Qian, Dennis B. Creamer. Localization of the generalized sampling series and its numerical application
    2517 -- 2543Pavel B. Bochev, Max Gunzburger. Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems
    2544 -- 2566M. Braack, Erik Burman. Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
    2567 -- 2589Ben-yu Guo, Li-lian Wang, Zhong-Qing Wang. Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
    2590 -- 2606Laurent Gosse, Giuseppe Toscani. Identification of Asymptotic Decay to Self-Similarity for One-Dimensional Filtration Equations
    2607 -- 2623Song-Tao Liu, Yuesheng Xu. Galerkin Methods Based on Hermite Splines for Singular Perturbation Problems
    2624 -- 2646Anders Logg. Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates
    2647 -- 2667Andrew V. Knyazev, John E. Osborn. New A Priori FEM Error Estimates for Eigenvalues
    2668 -- 2689E. E. Ovtchinnikov. Sharp Convergence Estimates for the Preconditioned Steepest Descent Method for Hermitian Eigenvalue Problems

    Volume 43, Issue 5

    1803 -- 1827Khamron Mekchay, Ricardo H. Nochetto. Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
    1828 -- 1849Samy Gallego, Florian Méhats. Entropic Discretization of a Quantum Drift-Diffusion Model
    1850 -- 1871Hengbin An. On Convergence of the Additive Schwarz Preconditioned Inexact Newton Method
    1872 -- 1896Franco Brezzi, Konstantin Lipnikov, Mikhail J. Shashkov. Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
    1897 -- 1911Inga Parts, Arvet Pedas, Enn Tamme. Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels
    1912 -- 1933Q. Y. Chen, David I. Gottlieb, Jan S. Hesthaven. Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs
    1934 -- 1949Hermann Brunner, Qiya Hu. Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays
    1950 -- 1968Harbir Lamba. The Effective Stability of Adaptive Timestepping ODE Solvers
    1969 -- 1987David M. Day, Louis A. Romero. Roots of Polynomials Expressed in Terms of Orthogonal Polynomials
    1988 -- 2011Marcus Calhoun-Lopez, Max Gunzburger. A Finite Element, Multiresolution Viscosity Method for Hyperbolic Conservation Laws
    2012 -- 2033Erik Burman. A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
    2060 -- 2076Sergei V. Pereverzev, Eberhard Schock. On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
    2077 -- 2097Alain Bossavit, Francesca Rapetti. A Prolongation/Restriction Operator for Whitney Elements on Simplicial Meshes
    2098 -- 2120Thomas A. Manteuffel, Stephen F. McCormick, John Ruge, J. G. Schmidt. First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane
    2121 -- 2143Gang Bao, Haijun Wu. Convergence Analysis of the Perfectly Matched Layer Problemsfor Time-Harmonic Maxwell s Equations
    2144 -- 2171Ivan P. Gavrilyuk, Volodymyr L. Makarov. Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces
    2172 -- 2199Enrico Bertolazzi, Gianmarco Manzini. A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems
    2200 -- 2226Jong-Shi Pang, Vijay Kumar, Peng Song. Convergence of Time-Stepping Method for Initial and Boundary-Value Frictional Compliant Contact Problems
    2227 -- 2249Carlo Lovadina, Rolf Stenberg. A Posteriori Error Analysis of the Linked Interpolation Technique for Plate Bending Problems

    Volume 43, Issue 4

    1363 -- 1384Yubin Yan. Galerkin Finite Element Methods for Stochastic Parabolic Partial Differential Equations
    1385 -- 1406K. R. Fowler, C. T. Kelley. Pseudo-Transient Continuation for Nonsmooth Nonlinear Equations
    1407 -- 1435Yuri A. Kuznetsov, Willy Govaerts, Eusebius J. Doedel, Annick Dhooge. Numerical Periodic Normalization for Codim 1 Bifurcations of Limit Cycles
    1436 -- 1454Morgan Pierre. Weak Series BV Convergence of a Moving Finite-Element Method for Singular Axisymmetric Harmonic Maps
    1455 -- 1480Jeongho Ahn, David E. Stewart. An Euler-Bernoulli Beam with Dynamic Contact: Discretization, Convergence, and Numerical Results
    1481 -- 1503Serge Nicaise. A posteriori error estimations of some cell-centered finite volume methods
    1504 -- 1535Jianli Xie, Jun Zou. Numerical Reconstruction of Heat Fluxes
    1536 -- 1571Jorge San Martín, Jean-François Scheid, Takéo Takahashi, Marius Tucsnak. Convergence of the Lagrange-Galerkin Method for the Equations Modelling the Motion of a Fluid-Rigid System
    1572 -- 1595Songul Kaya, Béatrice Rivière. A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations
    1596 -- 1626Rama Cont, Ekaterina Voltchkova. A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
    1627 -- 1650Bernardo Cockburn, Jayadeep Gopalakrishnan. Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions
    1651 -- 1672Bernardo Cockburn, Jayadeep Gopalakrishnan. Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions
    1673 -- 1692Qiang Du, Lili Ju. Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes
    1693 -- 1714Chris Homescu, Linda R. Petzold, Radu Serban. Error Estimation for Reduced-Order Models of Dynamical Systems
    1715 -- 1727Håvard Berland, Brynjulf Owren, Bård Skaflestad. B-series and Order Conditions for Exponential Integrators
    1728 -- 1749Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov. Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
    1750 -- 1765Peter Alfeld, Larry L. Schumaker. A C:::2::: Trivariate Macroelement Based on the Worsey-Farin Split of a Tetrahedron
    1766 -- 1782Rüdiger Verfürth. Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations
    1783 -- 1802Rüdiger Verfürth. Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations

    Volume 43, Issue 3

    909 -- 923Allal Guessab, Gerhard Schmeisser. Sharp Error Estimates for Interpolatory Approximation on Convex Polytopes
    924 -- 948Inmaculada Higueras. Representations of Runge-Kutta Methods and Strong Stability Preserving Methods
    949 -- 969Manfred Dobrowolski, Manuel Villegas. A Stabilized Mixed Finite Element Method for Elliptic Systems of First Order
    970 -- 986Michael Breuß. The Implicit Upwind Method for 1-D Scalar Conservation Laws with Continuous Fluxes
    987 -- 1002Holger Wendland. On the Convergence of a General Class of Finite Volume Methods
    1003 -- 1020Fred J. Hickernell, Ian H. Sloan, Grzegorz W. Wasilkowski. A Piecewise Constant Algorithm for Weighted L::1:: Approximation over Bounded or Unbounded Regions in R:::s:::
    1021 -- 1042Mary F. Wheeler, Ivan Yotov. A Posteriori Error Estimates for the Mortar Mixed Finite Element Method
    1043 -- 1068Ricardo H. Nochetto, Jae-Hong Pyo. The Gauge-Uzawa Finite Element Method. Part I: The Navier-Stokes Equations
    1069 -- 1090Marlis Hochbruck, Alexander Ostermann. Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems
    1091 -- 1111Blanca Ayuso, Bosco García-Archilla, Julia Novo. The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations
    1112 -- 1138Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott. Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs
    1139 -- 1154G. N. Milstein, M. V. Tretyakov. Numerical Integration of Stochastic Differential Equations with Nonglobally Lipschitz Coefficients
    1155 -- 1174V. Simoncini. Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation
    1175 -- 1201Sofiane Soussi. Convergence of the Supercell Method for Defect Modes Calculations in Photonic Crystals
    1202 -- 1230B. D. Bonner, I. G. Graham, V. P. Smyshlyaev. The Computation of Conical Diffraction Coefficients in High-Frequency Acoustic Wave Scattering
    1231 -- 1255Jan Nordström, Magnus Svärd. Well-Posed Boundary Conditions for the Navier-Stokes Equations
    1256 -- 1275Emmanuel Gobet, Sylvain Maire. Sequential Control Variates for Functionals of Markov Processes
    1276 -- 1294Xuejun Xu, R. H. W. Hoppe. On the Convergence of Mortar Edge Element Methods in R:::3:::
    1295 -- 1320Z. Belhachmi, J. M. Sac-Epée, J. Sokolowski. Mixed Finite Element Methods for Smooth Domain Formulation of Crack Problems
    1321 -- 1347Brett W. Bader. Tensor-Krylov Methods for Solving Large-Scale Systems of Nonlinear Equations
    1348 -- 1361Andreas Frommer, Bruno Lang. Existence Tests for Solutions of Nonlinear Equations Using Borsuk s Theorem

    Volume 43, Issue 2

    455 -- 473Ángel Balaguer-Beser, Carlos Conde. Fourth-Order Nonoscillatory Upwind and Central Schemes for Hyperbolic Conservation Laws
    474 -- 501Robert Eymard, Thierry Gallouët, V. Gervais, R. Masson. Convergence of a Numerical Scheme for Stratigraphic Modeling
    502 -- 520M. S. Min, D. Gottlieb. Domain Decomposition Spectral Approximations for an Eigenvalue Problem with a Piecewise Constant Coefficient
    521 -- 539Jiangguo Liu, Bojan Popov, Hong Wang, Richard E. Ewing. Convergence Analysis of Wavelet Schemes for Convection-Reaction Equations under Minimal Regularity Assumptions
    540 -- 558Guy Barles, Espen R. Jakobsen. Error Bounds for Monotone Approximation Schemes for Hamilton-Jacobi-Bellman Equations
    559 -- 577Siddhartha Mishra. Convergence of Upwind Finite Difference Schemes for a Scalar Conservation Law with Indefinite Discontinuities in the Flux Function
    578 -- 603Daniel Bouche, Jean-Michel Ghidaglia, Frédéric Pascal 0002. Error Estimate and the Geometric Corrector for the Upwind Finite Volume Method Applied to the Linear Advection Equation
    604 -- 622Andreas Rieder. Inexact Newton Regularization Using Conjugate Gradients as Inner Iteration
    623 -- 644Jie Shen, Li-lian Wang. Spectral Approximation of the Helmholtz Equation with High Wave Numbers
    645 -- 671Zhiming Chen, Xuezhe Liu. An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
    672 -- 685Malin Siklosi, Gunilla Efraimsson. Analysis of First Order Errors in Shock Calculations in Two Space Dimensions
    686 -- 706Rakhim Aitbayev. Multilevel Preconditioners for Non-self-adjoint or Indefinite Orthogonal Spline Collocation Problems
    707 -- 732Shai Dekel, Dany Leviatan. Adaptive Multivariate Approximation Using Binary Space Partitions and Geometric Wavelets
    733 -- 749Rajen Kumar Sinha, Bhupen Deka. Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients
    750 -- 766Rodrigo B. Platte, Tobin A. Driscoll. Polynomials and Potential Theory for Gaussian Radial Basis Function Interpolation
    767 -- 786Florian Frühauf, Otmar Scherzer, Antonio Leitão. Analysis of Regularization Methods for the Solution of Ill-Posed Problems Involving Discontinuous Operators
    787 -- 795Borislav Bojanov, Petar Petrov. Gaussian Interval Quadrature Formulae for Tchebycheff Systems
    796 -- 824Dietmar Kröner, Mai Duc Thanh. Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section
    825 -- 859Patrick Joly, Jerónimo Rodríguez. An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the One-Dimensional Wave Equation
    860 -- 890L. Saas, I. Faille, F. Nataf, F. Willien. Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions
    891 -- 907Zhi-qiang Wang, Jianxin Zhou. An Efficient and Stable Method for Computing Multiple Saddle Points with Symmetries

    Volume 43, Issue 1

    1 -- 18Annalisa Buffa. Remarks on the Discretization of Some Noncoercive Operator with Applications to Heterogeneous Maxwell Equations
    19 -- 40Weiming Cao. On the Error of Linear Interpolation and the Orientation, Aspect Ratio, and Internal Angles of a Triangle
    41 -- 57Francesc Aràndiga, Albert Cohen, Rosa Donat, Nira Dyn. Interpolation and Approximation of Piecewise Smooth Functions
    58 -- 75Heping Ma, Weiwei Sun, Tao Tang. Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains
    76 -- 95Josef Dick, Gunther Leobacher, Friedrich Pillichshammer. Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy
    96 -- 115Zdenek Dostál. Inexact Semimonotonic Augmented Lagrangians with Optimal Feasibility Convergence for Convex Bound and Equality Constrained Quadratic Programming
    116 -- 126Snorre H. Christiansen. A Div-Curl Lemma for Edge Elements
    127 -- 155Jens Markus Melenk. hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
    156 -- 173Stefan Hüeber, Barbara I. Wohlmuth. An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems
    174 -- 194Fausto Saleri, A. Veneziani. Pressure Correction Algebraic Splitting Methods for the Incompressible Navier-Stokes Equations
    195 -- 219Shuyu Sun, Mary F. Wheeler. Symmetric and Nonsymmetric Discontinuous Galerkin Methods for Reactive Transport in Porous Media
    220 -- 238Sören Bartels. Stability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps
    239 -- 258Jean-Luc Guermond, P. Minev, Jie Shen. Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
    259 -- 279Rick Archibald, Anne Gelb, Jungho Yoon. Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images
    280 -- 302Paola Causin, Riccardo Sacco. A Discontinuous Petrov-Galerkin Method with Lagrangian Multipliers for Second Order Elliptic Problems
    303 -- 317Eric T. Chung, Björn Engquist. Convergence Analysis of Fully Discrete Finite Volume Methods for Maxwell s Equations in Nonhomogeneous Media
    318 -- 339Johannes Korsawe, Gerhard Starke. A Least-Squares Mixed Finite Element Method for Biot s Consolidation Problem in Porous Media
    340 -- 362Pavel B. Bochev, Max Gunzburger. On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles
    363 -- 385Sören Bartels. Reliable and Efficient Approximation of Polyconvex Envelopes
    386 -- 408Markus Berndt, Thomas A. Manteuffel, Stephen F. McCormick, Gerhard Starke. Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I
    409 -- 436Markus Berndt, Thomas A. Manteuffel, Stephen F. McCormick. Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II
    437 -- 454Sidi Mahmoud Kaber, Yvon Maday. Analysis of Some Padé-Chebyshev Approximants
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