Implementing spectral methods for partial differential equations : algorithms for scientists and engineers

＜図書＞
Implementing spectral methods for partial differential equations : algorithms for scientists and engineers

責任表示	David A. Kopriva
シリーズ	Scientific computation
データ種別	図書
出版情報	[Berlin] : Springer , c2009
本文言語	英語
大きさ	xviii, 394 p. ; 24 cm
概要	This book offers a systematic and self-contained approach to solve partial differential equations numerically using single and multidomain spectral methods. It contains detailed algorithms in pseudoco...e for the application of spectral approximations to both one and two dimensional PDEs of mathematical physics describing potentials, transport, and wave propagation. David Kopriva, a well-known researcher in the field with extensive practical experience, shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries. The book addresses computational and applications scientists, as it emphasizes the practical derivation and implementation of spectral methods over abstract mathematics. It is divided into two parts: First comes a primer on spectral approximation and the basic algorithms, including FFT algorithms, Gauss quadrature algorithms, and how to approximate derivatives. The second part shows how to use those algorithms to solve steady and time dependent PDEs in one and two space dimensions. Exercises and questions at the end of each chapter encourage the reader to experiment with the algorithms. Book jacket.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6993721

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	KOPR/10/1	2009		023212009002041		予約・取寄			予約・取寄
		芸工研究室	415.52/Ko78	2009		050212015001254

一般注記	Includes bibliographical references and index
著者標目	*Kopriva, David A.
件　名	LCSH:Spectral theory (Mathematics) LCSH:Differential equations, Partial
分　類	DC22:515.7222
書誌ID	1001225144
ISBN	9789048122608
NCID	BA90170704
巻冊次	ISBN:9789048122608
NBN	015109961
登録日	2009.09.18
更新日	2017.02.18