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Spectral Methods: Algorithms, Analysis and Applications (Springer Series in Computational Mathematics)
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ISBN
:
9783540710400
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Publisher
:
Springer
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Subject
:
Computer Programming / Software Development, Mathematics
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Binding
:
HARDCOVER
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Pages
:
486
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Year
:
2011
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11941.0
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11463.0
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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 ofxA0; 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 toxA0;help the readers to develop their own spectral codes for their specific applications.
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