Spectral Methods for Uncertainty Quantification : With Applications to Computational Fluid Dynamics

Language: English

Published by Springer, 2012

9400731922 / 9789400731929

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9789400731929

Title
Spectral Methods for Uncertainty Quantification : With Applications to Computational Fluid Dynamics
Author
Omar M Knio
Publisher
Springer
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9400731922
ISBN 13
9789400731929
Item weight
826 grams
Dimensions
235x155x30 mm

AHA-BUCH GmbH

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