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Spectral Methods: Algorithms, Analysis and Applications (Springer Series in Computational Mathematics, 41)

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ISBN-10:

3642270972

ISBN-13:

9783642270970

Author(s): Tang, Tao; Shen, Jie
Edition: 2011
Released: Nov 27, 2013
Publisher: Springer
Format: Paperback, 488 pages
Related ISBN: 9783540710400
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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 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.

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