Springer Series in Computational Mathematics: Algorithms, Analysis and Applications

Shen, Jie; Tang, Tao; Wang, Li-Lian

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.

Details

Published by: Springer

Publication Date: 2011-08-25

Format: Hardcover

ISBN-13: 9783540710400

DOI: 10.1007/978-3-540-71041-7

Dimensions: 235cm x155cm

Pages: 472