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Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf

Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf free download

Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf free download. This book deals with the application of spectral methods to problems of uncertainty propagation and quantification in model-based computations. It specifically focuses on computational and algorithmic features of these methods which are most useful in dealing with models based on partial differential equations, with special attention to models arising in simulations of fluid flows.

Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf free download

Implementations are illustrated through applications to elementary problems, as well as more elaborate examples selected from the authors’ interests in incompressible vortex-dominated flows and compressible flows 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 alludes to those theoretical aspects needed to set the stage for subsequent applications.

Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf free download

The book is authored by practitioners, and is primarily intended for researchers or graduate students in computational mathematics, physics, or fluid dynamics. The book assumes familiarity with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral methods is naturally helpful though not essential.

Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf free download

Full appreciation of elaborate examples in computational fluid 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 sufficient to address and reconstruct all but those highly elaborate examples.

Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf free download

Spectral Methods for Uncertainty Quantification by O P Le Maitre and O M Knio pdf free download


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