9789400731929 - spectral methods for uncertainty quantification: with applications to computational fluid dynamics di le maitre, olivier; knio, omar m (13 risultati)

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Paperback. Condizione: New. 2010 ed. 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 differ…ential 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.

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Taschenbuch. Condizione: Neu. Spectral Methods for Uncertainty Quantification | With Applications to Computational Fluid Dynamics | Olivier Le Maitre (u. a.) | Taschenbuch | Scientific Computation | xvi | Englisch | 2012 | Springer | EAN 9789400731929 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17,…69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

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Taschenbuch. Condizione: Neu. 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.

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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 552 pp. Englisch.

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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Application-oriented introduction into spectral methods for uncertainty propagation and quantification in model-based computations.With carefully selected examples on incompressible vortex-dominated flows and compres…sible flows at low Mach numbers.Only allu.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 552 pp. Englisch.