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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.
- Format: Pocket/Paperback
- ISBN: 9783642270970
- Språk: Engelska
- Antal sidor: 472
- Utgivningsdatum: 2013-11-27
- Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K