Spectral Methods: Algorithms, Analysis and Applications - Tao Tang,Li-Lian Wang,Jie Shen
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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 ... Full description
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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.
More Information
| Author | Tao Tang, Li-Lian Wang, Jie Shen |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Series | Springer Series in Computational Mathematics |
| Release year | 2011 |
| Cover type | Hardcover |
| EAN | 9783540710400 |