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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2010.
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| Edición: | 1st ed. 2010. |
| Colección: | Scientific Computation,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 100 | 1 | |a Le Maitre, Olivier. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Spectral Methods for Uncertainty Quantification |h [electronic resource] : |b With Applications to Computational Fluid Dynamics / |c by Olivier Le Maitre, Omar M Knio. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2010. | |
| 300 | |a XVI, 536 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a Scientific Computation, |x 2198-2589 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Spectrum analysis. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Mathematical models. | |
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Spectroscopy. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Mathematical Modeling and Industrial Mathematics. |
| 650 | 2 | 4 | |a Computational Science and Engineering. |
| 650 | 2 | 4 | |a Continuum Mechanics. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 700 | 1 | |a Knio, Omar M. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789048135257 |
| 776 | 0 | 8 | |i Printed edition: |z 9789400731929 |
| 776 | 0 | 8 | |i Printed edition: |z 9789048135196 |
| 830 | 0 | |a Scientific Computation, |x 2198-2589 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-90-481-3520-2 |z Texto Completo |
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| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||