MATLAB中的谱方法

出版时间:2011-2  出版社:清华大学出版社  作者:特弗森  页数:165  
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内容概要

The aim of this book is to teach you the
essentials of spectral collocation methods with the aid of 40 short
MATLAB programs, or "M-files."* The programs are available online
at http://www, comlab, ox. ac .uk/oucl/work/nick.trefethen, and you
will run them and modify them to solve all kinds of ordinary and
partial differential equations (ODEs and PDEs) connected with
problems in fluid mechanics, quantum mechanics, vibrations, linear
and nonlinear waves, complex analysis, and other fields. Concerning
prerequisites,it is assumed that the words just written have
meaning for you, that you have some knowledge of numerical methods,
and that you already know MATLAB.

作者简介

作者:(美国)特弗森(Lloyd N.Trefethen)Lloyd N.Trefethen is Professor of Numerical Analysis at Oxford University. His previous SIAM book, Numerical Linear Algebra (with David Bau III, 1997) has sold over 5000 copies.

书籍目录

preface
acknowledgments
a note on the matlab programs
1 differentiation matrices
2 unbounded grids: the semidiscrete fourier transform
3 periodic grids: the dft and fft
4 smoothness and spectral accuracy
5 polynomial interpolation and clustered grids
6 chebyshev differentiation matrices
7 boundary value problems
8 chebyshev series and the fft
9 eigenvalues and pseudospectra
10 time-stepping and stability regions
11 polar coordinates
12 integrals and quadrature formulas
13 more about boundary conditions
14 fourth-order problems
afterword
bibliography

章节摘录

版权页:插图:A number of other colleagues commented upon drafts of the book and improved it. I am especially grateful to John Boyd, Frederic Dias, Des Higham, Nick Higham, Alvaro Meseguer, Paul Milewski, Damian Packer, and Satish Reddy.In a category by himself goes Mark Embree, who has read this book more carefully than anyone else but me, by far. Embree suggested many improvements in the text, and beyond that, he worked many of the exercises, catching errors and contributing new exercises of his own. I am lucky to have found Embree at a stage of his career when he still has so much time to give to others.The Numerical Analysis Group here at Oxford provides a stimulating environment to support a project like this. I want particularly to thank my three close colleagues Mike Giles, Endre Still, and Andy Wathen, whose friendship has made me glad I came to Oxford; Shirley Dickson, who cheerfully made multiple copies of drafts of the text half a dozen times on short notice; and our outstanding group secretary and administrator, Shirley Day, who will forgive me, I hope, for all the mornings I spent working on this book when I should have been doing other things.This book started out as a joint production with Andrew Spratley, a D. Phil. student, based on a masters-level course I taught in 1998 and 1999. I want to thank Spratley for writing the first draft of many of these pages and for major contributions to the book's layout and figures. Without his impetus, the book would not have been written.Once we knew it would be written, there was no doubt who the publisher should be. It was a pleasure to publish my previous book [TrBa97] with SIAM, an organization that manages to combine the highest professional standards with a personal touch. And there was no doubt who the copy editor should be: again the remarkable Beth Gallagher, whose eagle eye and good sense have improved the presentation from beginning to end.

媒体关注与评论

Fascinating mathematics, intriguing graphics, and beautiful MATLAB codes.  ——Cleve Moler. Chairman and Chief Scientist, The Mathworks, Inc.This is a charming book, beautifully written, easy to understand without sacrificing accuracy. The idea of using MATLAB is brilliant and will appeal to the students and the other readers.  —— David Gottlieb, Ford Foundation Professor of Applied Mathematics,Brown University

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用户评论 (总计13条)

 
 

  •     这本书通过例子讲解了谱方法在matlab中的实现,很有帮助。
  •     书封面上竟然有个圆珠笔的大道子!希望出货的工作人员下次注意一下。书还没读仔细读,书中包含完整的matlab程序,适合作为理论与软件结合学习的参考书。
  •     对于学谱方法的同学,值得一看,有很多简单易懂的程序源代码,知识结构也不错
  •     当当网图书发货速度还是很快的,这本书信价比很高,内容还没有看
  •     和介绍的一样,满意,不小心下单错了
  •     男友说好用
  •     书中有很多小错误~ 不过作者已经在其网站上给出了修正
  •     有一定的参考价值,送货速度也行
  •     印刷有点差,国外教材,内容可以保证,算例,程序,理论基本都兼顾到了,好书。
  •     刚看了目录,觉得还挺有用的
  •     数学基础不是很好的朋友还是别买了
  •     这本书小巧精致,对于谱方法的理论与编程有比较精简的介绍,对于像我一样的初学者很有帮助。价钱也很便宜。感觉很好。
  •     书不错,送货也快。。。
 

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