Spectral Methods

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 th...

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Detalles Bibliográficos
Autores principales: Shen, Jie, Tang, Tao, Wang, Li-Lian
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-71041-7
http://cds.cern.ch/record/1486201
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author Shen, Jie
Tang, Tao
Wang, Li-Lian
author_facet Shen, Jie
Tang, Tao
Wang, Li-Lian
author_sort Shen, Jie
collection CERN
description 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
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publishDate 2011
publisher Springer
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spelling cern-14862012021-04-22T00:18:48Zdoi:10.1007/978-3-540-71041-7http://cds.cern.ch/record/1486201engShen, JieTang, TaoWang, Li-LianSpectral MethodsMathematical Physics and MathematicsAlong 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 Springeroai:cds.cern.ch:14862012011
spellingShingle Mathematical Physics and Mathematics
Shen, Jie
Tang, Tao
Wang, Li-Lian
Spectral Methods
title Spectral Methods
title_full Spectral Methods
title_fullStr Spectral Methods
title_full_unstemmed Spectral Methods
title_short Spectral Methods
title_sort spectral methods
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-71041-7
http://cds.cern.ch/record/1486201
work_keys_str_mv AT shenjie spectralmethods
AT tangtao spectralmethods
AT wanglilian spectralmethods

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