Spectral methods for uncertainty quantification : with applications to computational fluid dynamics

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...

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Autori principali: Le Maître, Olivier, 19..-...., physicien, Knio, Omar M., mathématicien (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Dordrecht : Springer Netherlands : Springer e-books [20..].
Cham : Springer Nature
Serie:Scientific Computation
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Spectral methods for uncertainty quantification, with applications to computational fluid dynamics, O. P. Le Maître, O. M. Knio, 2010, Dordrecht, Springer, 1 vol. (XVI-536 p.), Scientific computation, 978-90-481-3519-6
Sommario:
  • 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