Uncertainty Quantification for Hyperbolic and Kinetic Equations. 1st ed. 2017

種類:

電子ブック

責任表示:

edited by Shi Jin, Lorenzo Pareschi

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Jin, Shi.
• Pareschi, Lorenzo.
• SpringerLink (Online service)

シリーズ名:

SEMA SIMAI Springer Series ; 14

ISBN:

9783319671109 [3319671103]    

注記:

1 The Stochastic Finite Volume Method -- 2 Uncertainty Modeling and Propagation in Linear Kinetic Equations -- 3 Numerical Methods for High-Dimensional Kinetic Equations -- 4 From Uncertainty Propagation in Transport Equations to Kinetic Polynomials -- 5 Uncertainty Quantification for Kinetic Models in Socio-Economic and Life Sciences -- 6 Uncertainty Quantification for Kinetic Equations -- 7 Monte-Carlo Finite-Volume Methods in Uncertainty Quantification for Hyperbolic Conservation Laws.
This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.

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