Viser: Numerical Solution of Differential Equations - Introduction to Finite Difference and Finite Element Methods
Numerical Solution of Differential Equations
Introduction to Finite Difference and Finite Element Methods
Zhilin Li, Zhonghua Qiao og Tao Tang
University of Cambridge ESOL Examinations
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Detaljer Om Varen
- Paperback: 300 sider
- Udgiver: University of Cambridge ESOL Examinations (November 2017)
- Forfattere: Zhilin Li, Zhonghua Qiao og Tao Tang
- ISBN: 9781316615102
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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