Numerical methods for solving partial differential equations

Author: Lu Jinfu
Publisher:
Publish Date: 2004-01-01
Features: This book can be used as a graduate textbook for science and engineering majors in higher education institutions, and can also serve as a textbook for relevant undergraduate majors. Additionally, it is suitable for reference by scientific and engineering computing professionals. The 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; 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.