Spectral methods : algorithms, analysis and applications

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 t...

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Auteurs principaux: Shen, Jie, 1959-, Tang, Tao (Auteur), Wang, Li-Lian (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg 2011.
Cham : Springer Nature
Collection:Springer Series in Computational Mathematics 41
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Note: Description d'après consultation du 22 avril 2013
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Edition sous un autre format:• Spectral methods, algorithms, analysis and applications, Jie Shen, Tao Tang, Li-Lian Wang, Berlin, Springer, 2011, 1 vol. (XVI-470 p.), Springer series in computational mathematics, 978-3-540-71040-0
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Résumé: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
Description:Description d'après consultation du 22 avril 2013
Archives Springer e-books (Licence nationale)
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Bibliographie:Bibliogr. Index
ISBN:9783540710417
ISSN:0179-3632
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