David A. Kopriva
Implementing Spectral Methods for Partial Differential Equations
Gebonden EN 2009 9783540927419Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This book presents a systematic development of the fundamental algorithms needed to write spectral methods codes to solve basic problems of mathematical physics: steady potentials, transport, and wave propagation. It shows that only a few fundamental algorithms for interpolation, differentiation and the FFT form the building blocks of any spectral code, even for problems in complex geometries. The algorithms approximate problems in 1D and 2D to show the flexibility of spectral methods, and to make the transition from exploratory to application codes as straightforward as possible. The book serves as a textbook for graduate students and as a starting point for applications scientists.
Specificaties
ISBN13:9783540927419
Taal:EN
Bindwijze:Gebonden
Aantal pagina's:350
Uitgever:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Serie:Scientific Computation
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Inhoudsopgave
Part I Spectral Approximation.- 1 Mathematical Preliminaries.- Part II Basic Algorithms.- 2 Algorithms For Periodic Functions.- 3 Algorithms For Non-Periodic Functions.- Part III Spectral Approximation of PDEs.- 4 Survey of Spectral Approximations.- 5 Spectral Approximation on the Square.- 6 Spectral Methods in Non-Square Geometries.- 7 Spectral Element Methods.- A Miscellaneous Algorithms.
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