Numerical analysis of spectral methods : theory and applications /
David Gottlieb and Steven A. Orszag.
Bok Engelsk 1977 David. Gottlieb
| Annen tittel | |
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| Utgitt | Philadelphia, Pa. : : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), , 1977.
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| Omfang | 1 electronic text (v, 161 p.) : : ill., digital file.
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| Opplysninger | Bibliographic Level Mode of Issuance: Monograph. - 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.
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| Emner | Numerical analysis.
Spectral theory (Mathematics) Differensialligninger - Numerisk løsning Algebraic-stability analysis Vis mer... Approximation theory
Convergence theory Fourier series Hyperbolic problems Incompressible fluid dynamics Spectral methods Time differencing |
| Dewey | |
| ISBN | 0898710235
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