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

Li, Zhilin; Qiao, Zhonghua; Tang, Tao

Softcover

ISBN 10: 1316615103 ISBN 13: 9781316615102

Publisher: Cambridge University Press, 2017

Synopsis

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® codes, all available online.

About this title

Book Description

This practical and concise guide to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. With few prerequisites, the book is accessible to readers from a range of disciplines across science and engineering. Well-tested MATLAB® codes are available online.

About the Author

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.

Zhonghua Qiao is an Assistant Professor in the Department of Applied Mathematics, Hong Kong Polytechnic University.

Tao Tang is a Professor in the Department of Mathematics at South University of Science and Technology, China.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• ISBN 10: 1316615103
• ISBN 13: 9781316615102
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 300