Spectral Methods

Released on by Jie Shen
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  • Spectral Methods Book Detail

  • Author : Jie Shen
  • Release Date : 2011-08-25
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 481
  • ISBN 13 : 3540710418
  • File Size : 79,79 MB
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Spectral Methods by Jie Shen PDF Summary

Book 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.

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