Spectral methods and their applications

Author(s)

Bibliographic Information

Spectral methods and their applications

Guo Ben-yu

World Scientific, c1998

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Includes bibliographical references

Description and Table of Contents

Description

This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods. Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction, heat conduction and other fields.The book consists of three parts. The first part deals with orthogonal approximations in Sobolev spaces and the stability and convergence of approximations for nonlinear problems, as the mathematical foundation of spectral methods. In the second part, various spectral methods are described, with some applications. It includes Fourier spectral method, Legendre spectral method, Chebyshev spectral method, spectral penalty method, spectral vanishing viscosity method, spectral approximation of isolated solutions, multi-dimensional spectral method, spectral method for high-order equations, spectral-domain decomposition method and spectral multigrid method. The third part is devoted to some recent developments of spectral methods, such as mixed spectral methods, combined spectral methods and spectral methods on the surface.

Table of Contents

  • Orthogonal approximations in Sobolev spaces
  • stability and convergence
  • spectral methods and pseudospectral methods
  • spectral methods for multi-dimensional and high order problems
  • mixed spectral methods
  • combined spectral methods
  • spectral methods on the spherical surface.

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Details

  • NCID
    BA36261713
  • ISBN
    • 9810233337
  • LCCN
    97044642
  • Country Code
    si
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Singapore
  • Pages/Volumes
    viii, 349 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
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