Spectral methods algorithms, analysis and applications / [electronic resource] :
- 作者： Shen, Jie.
- 其他作者：
- 出版： Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg
- 叢書名： Springer series in computational mathematics41
- 主題： Spectral theory (Mathematics) , Mathematics , Computational Mathematics and Numerical Analysis. , Partial Differential Equations. , Mathematics of Computing.
- ISBN： 9783540710417 (electronic bk.) 、 9783540710400 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005073073 | 機讀編目格式
館藏資訊
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.