Journal: SIAM J. Numerical Analysis

Volume 38, Issue 6

1763 -- 1783Willem Hundsdorfer. Partially Implicit BDF2 Blends for Convection Dominated Flows
1784 -- 1799Othmar Koch, Ewa B. Weinmüller. Iterated Defect Correction for the Solution of Singular Initial Value Problems
1800 -- 1845Leon Greenberg, Marco Marletta. Numerical Solution of Non-Self-Adjoint Sturm-Liouville Problems and Related Systems
1846 -- 1885Hong Wang, Xiquan Shi, Richard E. Ewing. An ELLAM Scheme for Multidimensional Advection-Reaction Equations and Its Optimal-Order Error Estimate
1886 -- 1901Alexis Vasseur. Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with γ=3
1902 -- 1925J. Thomas Beale, Ming-Chih Lai. A Method for Computing Nearly Singular Integrals
1926 -- 1960Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis. Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation
1961 -- 1985Zhiming Chen, Shibin Dai. Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg-Landau Model in Superconductivity
1986 -- 1998Gunilla Kreiss, Gunilla Efraimsson, Jan Nordström. Elimination of First Order Errors in Shock Calculations
1999 -- 2021Peter Mathé, Sergei V. Pereverzev. Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods
2022 -- 2046Andrew J. Sommese, Jan Verschelde, Charles W. Wampler. Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components
2047 -- 2078Gary Cohen, Patrick Joly, Jean E. Roberts, Nathalie Tordjman. Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
2079 -- 2102Wolfgang Ring. A First-Order Sequential Predictor-Corrector Regularization Method for Ill-Posed Volterra Equations

Volume 38, Issue 5

1409 -- 1424B. Le Bailly, J. P. Thiran. Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane
1425 -- 1438Heping Ma, Weiwei Sun. A Legendre-Petrov-Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations
1439 -- 1453Olga Lepsky. Spectral Viscosity Approximations to Hamilton-Jacobi Solutions
1454 -- 1482Sang Dong Kim, Thomas A. Manteuffel, Stephen F. McCormick. First-Order System Least Squares (FOSLS) for Spatial Linear Elasticity: Pure Traction
1483 -- 1495Tao Tang, Zhen-huan Teng. On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions
1496 -- 1522Giancarlo Sangalli. Global and Local Error Analysis for the Residual-Free Bubbles Method Applied to Advection-Dominated Problems
1523 -- 1539R. W. Thatcher. A Least Squares Method for Solving Biharmonic Problems
1540 -- 1560Fabio Camilli, Lars Grüne. Numerical Approximation of the Maximal Solutions for a Class of Degenerate Hamilton-Jacobi Equations
1561 -- 1581Zhiqiang Cai. Least Squares for the Perturbed Stokes Equations and the Reissner-Mindlin Plate
1582 -- 1602Rakhim Aitbayev, Bernard Bialecki. Orthogonal Spline Collocation for Nonlinear Dirichlet Problems
1603 -- 1625Michael Junk. A New Perspective on Kinetic Schemes
1626 -- 1646Kevin Burrage, Pamela M. Burrage. B-Series
1647 -- 1665Weinan E, Xiao-Ping Wang. Numerical Methods for the Landau-Lifshitz Equation
1666 -- 1675Scott N. Kersey. Best Near-Interpolation by Curves: Existence
1676 -- 1706Paul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau. An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
1707 -- 1720Mark A. Taylor, Beth A. Wingate, Rachel E. Vincent. An Algorithm for Computing Fekete Points in the Triangle
1721 -- 1761Mark Ainsworth, Patrick Coggins. hp-Finite Element Methods for Stokes Flow on High Aspect Ratio Elements

Volume 38, Issue 4

1057 -- 1072Do Y. Kwak, Kwang Y. Kim. Mixed Covolume Methods for Quasi-Linear Second-Order Elliptic Problems
1073 -- 1088Gabriel Acosta, Ricardo G. Durán. 1 Isoparametric Elements Satisfying a Weak Angle Condition
1089 -- 1112Fred J. Hickernell, Rong-Xian Yue. s)-Sequences
1113 -- 1133Jie Shen. Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
1134 -- 1153Ilan Bar-On, Mauro Leoncini. Reliable Solution of Tridiagonal Systems of Linear Equations
1154 -- 1170Hailiang Liu, Jinghua Wang, Gerald Warnecke. + -Stability and Error Estimates for a Relaxation Scheme
1171 -- 1199Jiuhua Chen, Weimin Han, Mircea Sofonea. Numerical Analysis of a Nonlinear Evolutionary System with Applications in Viscoplasticity
1200 -- 1216Xiaojun Chen 0001, Zuhair Nashed, Liqun Qi. Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
1217 -- 1242Chuanju Xu. An Efficient Method for the Navier-Stokes/Euler Coupled Equations Via a Collocation Approximation
1243 -- 1268Matthias Maischak, Ernst P. Stephan, Thanh Tran 0003. Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method
1269 -- 1293Alfred H. Schatz. Pointwise Error Estimates and Asymptotic Error Expansion Inequalities for the Finite Element Method on Irregular Grids: Part II. Interior Estimates
1294 -- 1311Christophe Rabut. Multivariate Divided Differences with Simple Knots
1312 -- 1336Xiaobing Feng. Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem
1337 -- 1356Salvatore Fabio Liotta, Vittorio Romano, Giovanni Russo. Central Schemes for Balance Laws of Relaxation Type
1357 -- 1368Raul Kangro, Roy Nicolaides. Far Field Boundary Conditions for Black-Scholes Equations
1369 -- 1388Laurent O. Jay. Inexact Simplified Newton Iterations for Implicit Runge-Kutta Methods
1389 -- 1408Anne Gelb, Eitan Tadmor. Detection of Edges in Spectral Data II. Nonlinear Enhancement

Volume 38, Issue 3

699 -- 717Jae Ryong Kweon. A Discontinuous Galerkin Method for Convection-Dominated Compressible Viscous Navier-Stokes Equations with an Inflow Boundary Condition
718 -- 741Michelle Ghrist, Bengt Fornberg, Tobin A. Driscoll. Staggered Time Integrators for Wave Equations
742 -- 752Bao-lin Zhang. Difference Graphs of Block ADI Method
753 -- 769Desmond J. Higham. Mean-Square and Asymptotic Stability of the Stochastic Theta Method
770 -- 798Jichun Li, Mary F. Wheeler. Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids
799 -- 819Javier de Frutos, Julia Novo. A Spectral Element Method for the Navier-Stokes Equations with Improved Accuracy
820 -- 836Cesare Davini., Igino Pitacco. An Unconstrained Mixed Method for the Biharmonic Problem
837 -- 875Dominik Schötzau, Christoph Schwab. Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
876 -- 896Raymond H. Chan, Andy M. Yip, Michael K. Ng. The Best Circulant Preconditioners for Hermitian Toeplitz Systems
897 -- 912Torsten Linß, Hans-Görg Roos, Relja Vulanovic. Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
913 -- 936Shi Jin, Lorenzo Pareschi, Giuseppe Toscani. Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
937 -- 963Tao Lin, Yanping Lin, Ming Rao, Shuhua Zhang. Petrov-Galerkin Methods for Linear Volterra Integro-Differential Equations
964 -- 988Laurent Gosse, Charalambos Makridakis. Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws
989 -- 1012Barbara I. Wohlmuth. A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
1013 -- 1033Yingkang Hu, Kirill Kopotun, Xiang Ming Yu. Modified Adaptive Algorithms
1034 -- 1055Silvia Bertoluzza, Claudio Canuto, Anita Tabacco. Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products

Volume 38, Issue 2

347 -- 359Philip W. Sharp, James H. Verner. Some Extended Explicit Bel'tyukov Pairs for Volterra Integral Equations of the Second Kind
360 -- 379R. Baker Kearfott, Jianwei Dian, Arnold Neumaier. Existence Verification for Singular Zeros of Complex Nonlinear Systems
380 -- 400Gabriel N. Gatica, Norbert Heuer. A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity
401 -- 413Olaf Steinbach. Mixed Approximations for Boundary Elements
414 -- 441Ernst Hairer, Christian Lubich. Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations
442 -- 465Christian A. Ringhofer. Space-Time Discretization of Series Expansion Methods for the Boltzmann Transport Equation
466 -- 488Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert. Data Oscillation and Convergence of Adaptive FEM
489 -- 514Zhangxin Chen. Formulations and Numerical Methods of the Black Oil Model in Porous Media
515 -- 547Wen-Wei Lin, Chern-Shuh Wang, Quan-Fu Xu. ∞ Norm of the Discrete-Time Output Feedback Control Problem
548 -- 555Weiwei Sun, Guangwei Yuan. Stability Condition for Difference Schemes for Parabolic Systems
556 -- 579Weimin Han, Mircea Sofonea. Evolutionary Variational Inequalities Arising in Viscoelastic Contact Problems
580 -- 607Salvatore Caorsi, Paolo Fernandes, Mirco Raffetto. On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
608 -- 625Mats G. Larson. A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
626 -- 638Sangwoo Heo, Yuan Xu. Invariant Cubature Formulae for Spheres and Balls by Combinatorial Methods
639 -- 659Z. Bartoszewski, Marian Kwapisz. On Error Estimates for Waveform Relaxation Methods for Delay-Differential Equations
660 -- 680So-Hsiang Chou, Shengrong Tang. P1 Conforming and Nonconforming Galerkin FEMs: Effective Flux Evaluation via a Nonmixed Method Approach
681 -- 698John D. Towers. Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux

Volume 38, Issue 1

1 -- 16Biyue Liu. The Analysis of a Finite Element Method with Streamline Diffusion for the Compressible Navier-Stokes Equations
17 -- 39Xuejun Xu. 1 Element Approximation for the Navier-Stokes Problem
40 -- 57Masahisa Tabata, Daisuke Tagami. A Finite Element Analysis of a Linearized Problem of the Navier-Stokes Equations with Surface Tension
58 -- 79Michael S. Floater, Ewald G. Quak. Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations
80 -- 97Simon Shaw, J. R. Whiteman. Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems
98 -- 128Eric Darve. The Fast Multipole Method I: Error Analysis and Asymptotic Complexity
129 -- 148Robert D. Skeel, K. Srinivas. Nonlinear Stability Analysis of Area-Preserving Integrators
149 -- 159Clint Dawson, Monica Martinez-Canales. Finite Element Approximations to the System of Shallow Water Equations, Part III: On the Treatment of Boundary Conditions
160 -- 169Brian Wetton. Error Analysis of Pressure Increment Schemes
170 -- 185Yao-Lin Jiang, Omar Wing. Monotone Waveform Relaxation for Systems of Nonlinear Differential-Algebraic Equations
186 -- 201Yao-Lin Jiang, Omar Wing. A Note on the Spectra and Pseudospectra of Waveform Relaxation Operators for Linear Differential-Algebraic Equations
202 -- 226Asen L. Dontchev, William W. Hager, Vladimir M. Veliov. Second-Order Runge-Kutta Approximations in Control Constrained Optimal Control
227 -- 266Felix C. G. Santos. The Linearization Method for the Numerical Analysis of Finite Element Solutions to Quasi-linear Elliptic Partial Differential Equations
267 -- 291Alfredo Bermúdez, Ricardo G. Durán, Rodolfo Rodríguez, Jorge E. Solomin. Finite Element Analysis of a Quadratic Eigenvalue Problem Arising in Dissipative Acoustics
292 -- 328Peter Takác, Ansgar Jüngel. A Nonstiff Euler Discretization of the Complex Ginzburg-Landau Equation in One Space Dimension
329 -- 346Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave. Numerical Methods for the Generalized Hopf Bifurcation