Numerical Methods for Partial Differential Equations (Second Edition)

Author: Lu Jinfu, Guan Zhi (editors)
Publisher:
Publish Date: 2004-01-01
Features: This book introduces two main methods for the numerical solution of partial differential equations: the finite difference method and the finite element method. Its content includes the basic concepts of the finite difference method; finite difference methods for hyperbolic equations, parabolic equations, elliptic equations, and nonlinear problems; the variational principles of mathematical physics equations; finite element discretization methods, and other related topics. While introducing each specific method, corresponding theoretical analysis is also provided. Each chapter is accompanied by exercises. This book can serve as a graduate textbook for science and engineering majors in universities, and can also be used as a textbook for relevant undergraduate programs. Additionally, it can be referenced by scientists and engineers engaged in scientific and engineering computing.