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

✍ Scribed by Zhilin Li, Zhonghua Qiao, Tao Tang

Publisher: Cambridge University Press
Year: 2018
Tongue: English
Leaves: 305
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ 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

✦ Subjects

Differential equations -- Numerical solutions.;Numerisches Verfahren;Differentialgleichung

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