International Journal of                                                 Numerical Analysis & Modeling

 
 ISSN 1705-5105
 
"For the things of this world cannot be made known without a knowledge of mathematics" -----Roger Bacon
 
Contents

 

                 Volume 2  (2005)                  

(all papers can be downloaded at the page numbers)                        

Volume  2,  Number  1 (2005)  --- Contents

 

Preface

Mark Ainsworth,   A posteriori error estimation for non-conforming quadrilateral finite element....................................................................................................................................1

Zhimin Zhang and Runchang Lin,   Locating natural superconvergent pints of finite element      methods in3D........................................................................................................................19

Chuanmiao Chen, Orthogonally correction techniques in superconvergence analysis..............31

Michal Krizek, Superconvergence phenomena on three-dimensional meshes….....................43

Weizhang Huang,  Convergence analysis of finite element solution of one dimensional    singularly perturbed differential equations on equidistributing meshes………     ……………57

Tiao Lu, Wei Cai and Pingwen Zhang, Conservative local discontinuous Galerkin  methods for time dependent Schrödinger equation…………………............................................….75

Vidar Thomee, A high order parallel method for time discretization of parabolic type    equations based on Laplace transformation and quadrature……..........................................85

Ziqing Xie and Chuanmiao Chen, The interpolated coefficient FEM and its application in computing the multiple solutions of semilinear elliptic problems.............................................97

Jichun Li, Optimal uniform convergence analysis for a two-dimensional  parabolic problem   with two small parameters.................................................................................................107        

Volume  2,  Number  2 (2005)  --- Contents

Owe Axelsson, Evgeny Glushkov and Natalia Glushkova,  Petrov-Galerkin method with local Green's functions in singularly perturbed convection-diffusion problems.........................127

Kuniyoshi Abe and Shao-Liang Zhang,  A variable preconditioning using the SOR method   for GCR-like methods.........................................................................................................147

Shuangzhang Tu and Shahrous Allibadi, A slope limiting procedure in discontinuous    Galerkin finite element method for gasdynamics applications..................................................163

Karam Allali, A priori and A posteriori error estimates for Boussinesq equations.................179

Henri Schurz, Convergence and stability of balanced implicit methods for systems of SDES..................................................................................................................................197

Abdellatif Agouzal,  A posteriori error estimator for finite element discretizations of           quasi-Newtonian Stokes flows.............................................................................................221

 

Volume  2,  Number  3 (2005)  --- Contents

Malgorzata Peszynska, Mortar adaptivity in mixed methods for flow in porous media .......241

Dong Xue and Leszek Demkowicz, Control of geometry induced error in hp finite element (FE) simulations,   I.. Evaluation of FE error for curvilinear geometries..................................283

Richard E. Ewing, Yanping Lin, Junping Wang and Shuhua Zhang,  $L^{\infity}$-error estimates and superconvergence in maximum norm of mixed finite element methods for NonFickian flows in porous media.......................................................................................301

Linda J. S. Allen and Nadarajah Kirupaharan, Asymptotic dynamics of deterministic and stochastic epidemic models with multiple pathogens..............................................................329

Jean Luc Guermond, Nonstandard nonconforming approximation of the Stokes problem,       I: Periodic boundary conditions............................................................................................345

Alexandra Rodkina and Henri Schurz,  On global asymptotic stability of solutions of        some in-arithmetic-mean-sense monotone stochastic difference equations in R......................355

Volume  2,  Number  4 (2005)  --- Contents

Chang-Yeol Jung and Roger Temam, Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers.................................................367

Heejeong Lee and Dongwoo Sheen, Basis for the quadratic nonconforming triangular   element of Fortin and Soulie.................................................................................................409

Johan Lie, Marius Lysaker and Xue-Cheng Tai, A piecewise constant level set framework...........................................................................................................................422

Peter Knobloch and Lutz Tobiska, On Korn's first inequality for quadrilateral nonconforming finite elements of first order approximation properties ...........................................................439

Kaitai Li and Yinnian He, Taylor expansion algorithm for the branching solution of the  Navier-Stokes equations......................................................................................................459

Wei Wei and Hong-Ming Yin, Numerical solutions to Bean's critical-state model for Type-II superconductors..................................................................................................................479

 

                  ==  Wuhan University and Institute for Scientific Computing  and Information    2004==