Finite Difference Methods for Ordinary and Partial Differential Equations

出版者:SIAM, Society for Industrial and Applied Mathematics

作者:Randall LeVeque

页数:357

出版时间:2007-7-10

价格:USD 67.00

装帧:Paperback

isbn号码:9780898716290

图书标签:偏微分方程数值解法常微分方程逻辑思维数学差分方法

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book's webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics.

用户评价

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对做任何数值计算的都应该是必读的入门书吧。

对做任何数值计算的都应该是必读的入门书吧。