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

Li, Zhilin; Qiao, Zhonghua; Tang, Tao

Hardcover

ISBN 10: 1107163226 ISBN 13: 9781107163225

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

Review

'The authors of this volume on finite difference and finite element methods provide a sound and complete exposition of these two numerical techniques for solving differential equations. The text is divided into two independent parts, tackling the finite difference and finite element methods separately. The parts offer a balanced mix of theory, application, and examples to offer readers a thorough introduction to the material. They utilize MATLAB programming to provide various codes illustrating the applications and examples. ... Overall, the textbook offers a solid introduction to finite difference methods and finite element methods that should be useful to graduate students in mathematics as well as to students in applied and interdisciplinary fields, such as engineering and economics, who need to solve differential equations numerically.' S. L. Sullivan, Choice

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2017
• ISBN 10: 1107163226
• ISBN 13: 9781107163225
• Binding: Hardcover
• Language: English
• Number of pages: 300