Numerical analysis of spectral methods: theory and applications
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Bibliographic Details
Main Author: Gottlieb, David (Author)
Format: Electronic eBook
Language:English
Published: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1977
Series:CBMS-NSF regional conference series in applied mathematics 26
Subjects:
Online Access:TUM01
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Item Description:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references
Spectral methods -- Survey of approximation theory -- Review of convergence theory -- Algebraic stability -- Spectral methods using Fourier series -- Applications of algebraic stability analysis -- Constant coefficient hyperbolic equations -- time differencing -- Efficient implementation of spectral methods -- Numerical results for hyperbolic problems -- Advection-diffusion equation -- Models of incompressible fluid dynamics -- Miscellaneous applications of spectral methods -- Survey of spectral methods and applications -- Properties of Chebyshev and Legendre polynomial expansions
A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis
Physical Description:1 Online-Ressource (v, 161 Seiten)
ISBN:0898710235
9780898710236
DOI:10.1137/1.9781611970425

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