Spectral Methods Algorithms, Analysis and Applications

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Synopsis

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.

Book details

Edition:
2011
Series:
Springer Series in Computational Mathematics (Book 41)
Author:
Jie Shen, Tao Tang, Li-Lian Wang
ISBN:
9783540710417
Related ISBNs:
9783540710400
Publisher:
Springer Berlin Heidelberg
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2022-08-20
Usage restrictions:
Copyright
Copyright date:
2011
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Computers and Internet, Mathematics and Statistics, Nonfiction