Spectral Methods for Uncertainty Quantification

Name: Spectral Methods for Uncertainty Quantification
Brand: Springer
SKU: 9789048135196
Price: 53908 HUF
Availability: InStock

With Applications to Computational Fluid Dynamics

Szerző: O. P. LeMaître, Omar M. Knio

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer

Elérhetőség: Beszállítói készleten

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This book presents applications of spectral methods to problems of uncertainty propagation and quant...

Információk a könyvről

Szerző

O. P. LeMaître, Omar M. Knio

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2010

oldal

536

EAN

9789048135196

ISBN

9048135192

Enbook ID

01973026

Kiadó

Springer

Súly

2090

Méretek

155 x 235 x 39

Teljes leírás

This book presents applications of spectral methods to problems of uncertainty propagation and quantification in model-based computations, focusing on the computational and algorithmic features of these methods most useful in dealing with models based on partial differential equations, in particular models arising in simulations of fluid flows. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundations associated with probability and measure spaces. A brief discussion is provided of only those theoretical aspects needed to set the stage for subsequent applications. These are demonstrated through detailed treatments of elementary problems, as well as in more elaborate examples involving vortex-dominated flows and compressible flows at low Mach numbers. Some recent developments are also outlined in the book, including iterative techniques (such as stochastic multigrids and Newton schemes), intrusive and non-intrusive formalisms, spectral representations using mixed and discontinuous bases, multi-resolution approximations, and adaptive techniques. Readers are assumed to be familiar with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral approximation is helpful but not essential.

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Spectral Methods for Uncertainty Quantification

With Applications to Computational Fluid Dynamics

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