Numerical Solution of Differential Equations: Introduction to Finite Difference and Finite Element Methods

This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite element methods are then introduced in Part II. In each part, the authors begin with a comprehensive discussion of one-dimensional problems, before proceeding to consider two or higher dimensions. An emphasis is placed on numerical algorithms, related mathematical theory, and essential details in the implementation, while some useful packages are also introduced. The authors also provide well-tested MATLAB(R) codes, all available online.

Author: Zhilin Li, Zhonghua Qiao, Tao Tang
Publisher: Cambridge University Press
Published: 11/30/2017
Pages: 300
Binding Type: Hardcover
Weight: 1.63lbs
Size: 10.14h x 7.10w x 0.70d
ISBN: 9781107163225

Review Citation(s):
Choice 09/01/2018

About the Author
Li, Zhilin: - Zhilin Li is a tenured full professor at the Center for Scientific Computation and the Department of Mathematics, North Carolina State University. His research area is in applied mathematics in general, particularly in numerical analysis for partial differential equations, moving interface/free boundary problems, irregular domain problems, computational mathematical biology, and scientific computing and simulations for interdisciplinary applications. Li has authored one monograph, The Immersed Interface Method, and also edited several books and proceedings.Qiao, Zhonghua: - Zhonghua Qiao is an Assistant Professor in the Department of Applied Mathematics, Hong Kong Polytechnic University.Tang, Tao: - Tao Tang is a Professor in the Department of Mathematics at South University of Science and Technology, China.