Spectral Methods. Algorithms, Analysis and Applications

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Spectral Methods. Algorithms, Analysis and Applications

Author: Jie Shen, Tao Tang, Li-Lian Wang | Size: 3.9 MB | Format: PDF | Publisher: Springer | Year: 2011 | pages: 486 | ISBN: 354071040X

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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Spectral Methods. Algorithms, Analysis and Applications

Author: Jie Shen, Tao Tang, Li-Lian Wang | Size: 3.97 MB | Format: PDF | Quality: Unspecified | Year: 2011 | pages: 487

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