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Spectral Methods for Uncertainty Quantification
Buch
Buch
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Fachbuch
2010

Spectral Methods for Uncertainty Quantification

With Applications to Computational Fluid Dynamics

ISBN
EAN
978-90-481-3519-6
9789048135196
Artikel-Nr.
LKZGNZ6
Kostenloser Versand
Rabatt
-11.9
%
CHF 165.00
CHF
145.28
Anzahl
1
Maximale
Lieferzeit
20
Arbeitstage
Montag
18.10.2021
speech-bubble-svg Beschreibung
This book deals with the application of spectral methods to problems of uncertainty propagation and quanti?cation in model-based computations. It speci?cally focuses on computational and algorithmic features of these methods which are most useful in dealing with models based on partial differential equations, with special att- tion to models arising in simulations of ?uid ?ows. Implementations are illustrated through applications to elementary problems, as well as more elaborate examples selected from the authors’ interests in incompressible vortex-dominated ?ows and compressible ?ows at low Mach numbers. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundation associated with probability and measure spaces. Despite the authors’ fascination with this foundation, the discussion only - ludes to those theoretical aspects needed to set the stage for subsequent applications. The book is authored by practitioners, and is primarily intended for researchers or graduate students in computational mathematics, physics, or ?uid dynamics. The book assumes familiarity with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral me- ods is naturally helpful though not essential. Full appreciation of elaborate examples in computational ?uid dynamics (CFD) would require familiarity with key, and in some cases delicate, features of the associated numerical methods. Besides these shortcomings, our aim is to treat algorithmic and computational aspects of spectral stochastic methods with details suf?cient to address and reconstruct all but those highly elaborate examples.
Inhaltsverzeichnis
Introduction: Uncertainty Quantification and Propagation.- Basic Formulations.- Spectral Expansions.- Non-intrusive Methods.- Galerkin Methods.- Detailed Elementary Applications.- Application to Navier-Stokes Equations.- Advanced topics.- Solvers for Stochastic Galerkin Problems.- Wavelet and Multiresolution Analysis Schemes.- Adaptive Methods.- Epilogue.
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Herausgeber/-innen
Zielgruppe
Research
Publikation
Niederlande
08.04.2010
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Sprache
Englisch
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Hardcover
536 Seiten
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Kostenloser Versand: Schweiz & Liechtenstein
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