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ORCIDSIAM Journal on Numerical Analysis, Volume 38
Volume 38, Number 1, 2000
- Biyue Liu:
The Analysis of a Finite Element Method with Streamline Diffusion for the Compressible Navier-Stokes Equations. 1-16 - Xuejun Xu:
On the Accuracy of Nonconforming Quadrilateral Q1 Element Approximation for the Navier-Stokes Problem. 17-39 - Masahisa Tabata, Daisuke Tagami:
A Finite Element Analysis of a Linearized Problem of the Navier-Stokes Equations with Surface Tension. 40-57 - Michael S. Floater, Ewald G. Quak:
Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations. 58-79 - Simon Shaw
, John R. Whiteman:
Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems. 80-97 - Eric Darve:
The Fast Multipole Method I: Error Analysis and Asymptotic Complexity. 98-128 - Robert D. Skeel, K. Srinivas:
Nonlinear Stability Analysis of Area-Preserving Integrators. 129-148 - Clint Dawson, Monica Martinez-Canales:
Finite Element Approximations to the System of Shallow Water Equations, Part III: On the Treatment of Boundary Conditions. 149-159 - Brian Wetton:
Error Analysis of Pressure Increment Schemes. 160-169 - Yao-Lin Jiang, Omar Wing:
Monotone Waveform Relaxation for Systems of Nonlinear Differential-Algebraic Equations. 170-185 - Yao-Lin Jiang, Omar Wing:
A Note on the Spectra and Pseudospectra of Waveform Relaxation Operators for Linear Differential-Algebraic Equations. 186-201 - Asen L. Dontchev, William W. Hager, Vladimir M. Veliov:
Second-Order Runge-Kutta Approximations in Control Constrained Optimal Control. 202-226 - Felix C. G. Santos:
The Linearization Method for the Numerical Analysis of Finite Element Solutions to Quasi-linear Elliptic Partial Differential Equations. 227-266 - Alfredo Bermúdez, Ricardo G. Durán, Rodolfo Rodríguez, Jorge E. Solomin:
Finite Element Analysis of a Quadratic Eigenvalue Problem Arising in Dissipative Acoustics. 267-291 - Peter Takác, Ansgar Jüngel:
A Nonstiff Euler Discretization of the Complex Ginzburg-Landau Equation in One Space Dimension. 292-328 - Willy Govaerts, Yuri A. Kuznetsov, B. Sijnave:
Numerical Methods for the Generalized Hopf Bifurcation. 329-346
Volume 38, Number 2, 2000
- Philip W. Sharp, James H. Verner:
Some Extended Explicit Bel'tyukov Pairs for Volterra Integral Equations of the Second Kind. 347-359 - R. Baker Kearfott, Jianwei Dian, Arnold Neumaier:
Existence Verification for Singular Zeros of Complex Nonlinear Systems. 360-379 - Gabriel N. Gatica, Norbert Heuer:
A Dual-Dual Formulation for the Coupling of Mixed-FEM and BEM in Hyperelasticity. 380-400 - Olaf Steinbach:
Mixed Approximations for Boundary Elements. 401-413 - Ernst Hairer, Christian Lubich:
Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations. 414-441 - Christian A. Ringhofer:
Space-Time Discretization of Series Expansion Methods for the Boltzmann Transport Equation. 442-465 - Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert:
Data Oscillation and Convergence of Adaptive FEM. 466-488 - Zhangxin Chen:
Formulations and Numerical Methods of the Black Oil Model in Porous Media. 489-514 - Wen-Wei Lin, Chern-Shuh Wang, Quan-Fu Xu:
Numerical Computation of the Minimal H∞ Norm of the Discrete-Time Output Feedback Control Problem. 515-547 - Weiwei Sun, Guangwei Yuan:
Stability Condition for Difference Schemes for Parabolic Systems. 548-555 - Weimin Han, Mircea Sofonea:
Evolutionary Variational Inequalities Arising in Viscoelastic Contact Problems. 556-579 - Salvatore Caorsi, Paolo Fernandes, Mirco Raffetto:
On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems. 580-607 - Mats G. Larson:
A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems. 608-625 - Sangwoo Heo, Yuan Xu:
Invariant Cubature Formulae for Spheres and Balls by Combinatorial Methods. 626-638 - Z. Bartoszewski, Marian Kwapisz:
On Error Estimates for Waveform Relaxation Methods for Delay-Differential Equations. 639-659 - So-Hsiang Chou, Shengrong Tang:
Conservative P1 Conforming and Nonconforming Galerkin FEMs: Effective Flux Evaluation via a Nonmixed Method Approach. 660-680 - John D. Towers:
Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux. 681-698
Volume 38, Number 3, 2000
- Jae Ryong Kweon:
A Discontinuous Galerkin Method for Convection-Dominated Compressible Viscous Navier-Stokes Equations with an Inflow Boundary Condition. 699-717 - Michelle Ghrist, Bengt Fornberg, Tobin A. Driscoll:
Staggered Time Integrators for Wave Equations. 718-741 - Bao-Lin Zhang:
Difference Graphs of Block ADI Method. 742-752 - Desmond J. Higham:
Mean-Square and Asymptotic Stability of the Stochastic Theta Method. 753-769 - Jichun Li, Mary F. Wheeler:
Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids. 770-798 - Javier de Frutos, Julia Novo:
A Spectral Element Method for the Navier-Stokes Equations with Improved Accuracy. 799-819 - Cesare Davini, Igino Pitacco:
An Unconstrained Mixed Method for the Biharmonic Problem. 820-836 - Dominik Schötzau, Christoph Schwab:
Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method. 837-875 - Raymond H. Chan, Andy M. Yip, Michael K. Ng:
The Best Circulant Preconditioners for Hermitian Toeplitz Systems. 876-896 - Torsten Linß, Hans-Görg Roos, Relja Vulanovic:
Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems. 897-912 - Shi Jin, Lorenzo Pareschi, Giuseppe Toscani:
Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations. 913-936 - Tao Lin, Yanping Lin, Ming Rao, Shuhua Zhang:
Petrov-Galerkin Methods for Linear Volterra Integro-Differential Equations. 937-963 - Laurent Gosse, Charalambos G. Makridakis:
Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws. 964-988 - Barbara I. Wohlmuth:
A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier. 989-1012 - Yingkang Hu, Kirill A. Kopotun, Xiang Ming Yu:
Modified Adaptive Algorithms. 1013-1033 - Silvia Bertoluzza, Claudio Canuto, Anita Tabacco:
Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products. 1034-1055
Volume 38, Number 4, 2000
- Do Y. Kwak, Kwang Y. Kim:
Mixed Covolume Methods for Quasi-Linear Second-Order Elliptic Problems. 1057-1072 - Gabriel Acosta, Ricardo G. Durán:
Error Estimates for Cq1 Isoparametric Elements Satisfying a Weak Angle Condition. 1073-1088 - Fred J. Hickernell, Rong-Xian Yue:
The Mean Square Discrepancy of Scrambled (t, s)-Sequences. 1089-1112 - Jie Shen:
Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions. 1113-1133 - Ilan Bar-On, Mauro Leoncini:
Reliable Solution of Tridiagonal Systems of Linear Equations. 1134-1153 - Hailiang Liu, Jinghua Wang, Gerald Warnecke:
The LIP+ -Stability and Error Estimates for a Relaxation Scheme. 1154-1170 - Jiuhua Chen, Weimin Han, Mircea Sofonea:
Numerical Analysis of a Nonlinear Evolutionary System with Applications in Viscoplasticity. 1171-1199 - Xiaojun Chen, Zuhair Nashed, Liqun Qi:
Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations. 1200-1216 - Chuanju Xu:
An Efficient Method for the Navier-Stokes/Euler Coupled Equations Via a Collocation Approximation. 1217-1242 - Matthias Maischak, Ernst P. Stephan, Thanh Tran:
Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method. 1243-1268 - Alfred H. Schatz:
Pointwise Error Estimates and Asymptotic Error Expansion Inequalities for the Finite Element Method on Irregular Grids: Part II. Interior Estimates. 1269-1293 - Christophe Rabut:
Multivariate Divided Differences with Simple Knots. 1294-1311 - Xiaobing Feng:
Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem. 1312-1336 - Salvatore Fabio Liotta, Vittorio Romano, Giovanni Russo:
Central Schemes for Balance Laws of Relaxation Type. 1337-1356 - Raul Kangro, Roy A. Nicolaides:
Far Field Boundary Conditions for Black-Scholes Equations. 1357-1368 - Laurent O. Jay:
Inexact Simplified Newton Iterations for Implicit Runge-Kutta Methods. 1369-1388 - Anne Gelb, Eitan Tadmor:
Detection of Edges in Spectral Data II. Nonlinear Enhancement. 1389-1408
Volume 38, Number 5, 2000
- B. Le Bailly, Jean-Pierre Thiran:
Optimal Rational Functions for the Generalized Zolotarev Problem in the Complex Plane. 1409-1424 - Heping Ma, Weiwei Sun:
A Legendre-Petrov-Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations. 1425-1438 - Olga Lepsky:
Spectral Viscosity Approximations to Hamilton-Jacobi Solutions. 1439-1453 - Sang Dong Kim, Thomas A. Manteuffel, Stephen F. McCormick:
First-Order System Least Squares (FOSLS) for Spatial Linear Elasticity: Pure Traction. 1454-1482 - Tao Tang, Zhen-Huan Teng:
On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions. 1483-1495 - Giancarlo Sangalli:
Global and Local Error Analysis for the Residual-Free Bubbles Method Applied to Advection-Dominated Problems. 1496-1522 - R. W. Thatcher:
A Least Squares Method for Solving Biharmonic Problems. 1523-1539 - Fabio Camilli, Lars Grüne:
Numerical Approximation of the Maximal Solutions for a Class of Degenerate Hamilton-Jacobi Equations. 1540-1560 - Zhiqiang Cai:
Least Squares for the Perturbed Stokes Equations and the Reissner-Mindlin Plate. 1561-1581 - Rakhim Aitbayev, Bernard Bialecki:
Orthogonal Spline Collocation for Nonlinear Dirichlet Problems. 1582-1602 - Michael Junk:
A New Perspective on Kinetic Schemes. 1603-1625 - Kevin Burrage, Pamela M. Burrage:
Order Conditions of Stochastic Runge-Kutta Methods by B-Series. 1626-1646 - Weinan E, Xiao-Ping Wang:
Numerical Methods for the Landau-Lifshitz Equation. 1647-1665 - Scott N. Kersey:
Best Near-Interpolation by Curves: Existence. 1666-1675 - Paul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau:
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems. 1676-1706 - Mark A. Taylor, Beth A. Wingate, Rachel E. Vincent:
An Algorithm for Computing Fekete Points in the Triangle. 1707-1720 - Mark Ainsworth, Patrick Coggins:
The Stability of Mixed hp-Finite Element Methods for Stokes Flow on High Aspect Ratio Elements. 1721-1761
Volume 38, Number 6, 2001
- Willem Hundsdorfer:
Partially Implicit BDF2 Blends for Convection Dominated Flows. 1763-1783 - Othmar Koch, Ewa B. Weinmüller:
Iterated Defect Correction for the Solution of Singular Initial Value Problems. 1784-1799 - Leon Greenberg, Marco Marletta:
Numerical Solution of Non-Self-Adjoint Sturm-Liouville Problems and Related Systems. 1800-1845 - Hong Wang, Xiquan Shi, Richard E. Ewing:
An ELLAM Scheme for Multidimensional Advection-Reaction Equations and Its Optimal-Order Error Estimate. 1846-1885 - Alexis F. Vasseur:
Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with γ=3. 1886-1901 - J. Thomas Beale, Ming-Chih Lai:
A Method for Computing Nearly Singular Integrals. 1902-1925 - Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis:
Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation. 1926-1960 - Zhiming Chen, Shibin Dai:
Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg-Landau Model in Superconductivity. 1961-1985 - Gunilla Kreiss, Gunilla Efraimsson, Jan Nordström:
Elimination of First Order Errors in Shock Calculations. 1986-1998 - Peter Mathé, Sergei V. Pereverzev:
Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods. 1999-2021 - Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components. 2022-2046 - Gary Cohen, Patrick Joly, Jean E. Roberts, Nathalie Tordjman:
Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation. 2047-2078 - Wolfgang Ring:
A First-Order Sequential Predictor-Corrector Regularization Method for Ill-Posed Volterra Equations. 2079-2102
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