This book is devoted to the numerical computation of linear and nonlinear differential equations, and their mathematical theory and applications. The contributed papers reflect the interest and high research level of the Chinese mathematicians working in these fields.
Contents:
- On Finite Element Approximation for the Bifurcation Solution of Free Convection Problem (Y-Z Cao & M-Y Huang)
- How to Compute Properly Newton's Equation of Motion? (Feng Kang)
- Iterative and Petrov-Galerkin Methods for a Nonlinear Two-point Boundary Value Problem with Application to Semiconductor Devices (B-Y Guo & J H Miller)
- An Analysis of the Boundary Element Approximation of Steklov Eigenvalue Problem (H-D Han & Guan Zhi)
- Full Discrete Nonlinear Galerkin Method (K-T Li et al.)
- Optimal Finite Element Error for Convection-diffusion Problems (Lin Qun)
- Generalized Upwind Difference Method for Convection Dominated Diffusion Problems (R-H Li & X-J Hua)
- Optimal Error Estimates for a Viscosity Splitting Formula (L-A Ying)
- Difference Method for Fully Nonlinear Pseudo-Parabolic Systems (Y-L Zhou & M-S Du)
- and other papers
Readership: Mathematicians, researchers on applied mathematics and numerical mathematics engineers.