Generalized Difference Methods for Differential Equations
Numerical Analysis of Finite Volume Methods
Chapman & Hall/CRC Pure and Applied Mathematics Series

This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.

Preliminaries; two point boundary value problems; second order elliptic equations; fourth order and nonlinear elliptic equations; parabolic equations; hyperbolic equations; convection-dominated diffusion problems; applications.

Professional

Ronghua Li, Zhongying Chen, Wei Wu