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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Chemie Physikalische Chemie Spectral Methods for Uncertainty Quantification
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Spectral Methods for Uncertainty Quantification
Olivier Le Maitre, Omar M Knio (Broschiert, Englisch)
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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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
28.05.2012
Sprache
Englisch
EAN
9789400731929
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Scientific Computation
Sonderedition
Nein
Autor
Olivier Le Maitre, Omar M Knio
Seitenanzahl
536
Einbandart
Broschiert
Buch Untertitel
With Applications to Computational Fluid Dynamics
Schlagwörter
CFD book, Navier-Stokes equation, algorithms fluid dynamics, application spectral methods, computational fluid dynamics, fluid dynamics, linear optimization, models flui, models for simulation of fluid flows, simulation of fluids, spectral methods, uncertainty propagation, uncertainty quantification, fluid- and aerodynamics
Thema-Inhalt
PNFS - Spektroskopie, Spektrochemie, Massenspektrometrie
PBKS - Numerische Mathematik
PBWH - Mathematische Modellierung
TBJ - Mathematik für Ingenieure
PHD - Klassische Mechanik
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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