Numerical Solution of Differential Equations

Introduction to Finite Difference and Finite Element Methods

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Technology
Cover of the book Numerical Solution of Differential Equations by Tao Tang, Zhonghua Qiao, Zhilin Li, Cambridge University Press
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Author: Tao Tang, Zhonghua Qiao, Zhilin Li ISBN: 9781316732144
Publisher: Cambridge University Press Publication: November 30, 2017
Imprint: Cambridge University Press Language: English
Author: Tao Tang, Zhonghua Qiao, Zhilin Li
ISBN: 9781316732144
Publisher: Cambridge University Press
Publication: November 30, 2017
Imprint: Cambridge University Press
Language: English

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.

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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.

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