Numerical Methods for Partial Differential Equations

The Table of Contents for the book is as follows:

• Preface

• SELECTED PAPERS

  • On Finite Element Approximation for the Bifurcation Solution of Free Convection Problem

  • How to Compute Properly Newton's Equation of Motion?

  • Iterative and Petrov-Galerkin Methods for a Nonlinear Two-Point Boundary Value Problem with Application to Semiconductor Devices

  • An Analysis of the Boundary Element Approximation of Steklov Eigenvalue Problem

  • On the Convergence of Projective Approximate Solutions for Nonlinear Differential Equation with Discontinuous Right-Hand Side

  • Full Discrete Nonlinear Galerkin Method

  • Generalized Upwind Difference Method for Convection Dominated Diffusion Problems

  • Interpolated Finite Elements and Global Superconvergence

  • The Characteristic-Finite Element Analysis for Nonlinear Convection-Diffusion Problems

  • The Multigrid Method for the Finite Elements Solving the Biharmonic Equation

  • Bifurcation Study on the Laminar Flow in the Coiled Tube with the Triangular Cross Section

  • Optimal Error Estimates for a Viscosity Splitting Formula

  • Stabilized Finite Element Methods for a Model Parameter-Dependent Problem

  • Difference Method for Fully Nonlinear Pseudo-Parabolic Systems

  • Boundary Element Method for Numerical Solution of Steady Navier-Stokes Equations

• LIST OF CONTRIBUTED PAPERS