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＜電子ブック＞
Uncertainty Quantification for Hyperbolic and Kinetic Equations / edited by Shi Jin, Lorenzo Pareschi
(SEMA SIMAI Springer Series. ISSN:2199305X ; 14)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
大きさ	IX, 277 p. 76 illus., 68 illus. in color : online resource
著者標目	Jin, Shi editor Pareschi, Lorenzo editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematics—Data processing LCSH:Engineering mathematics LCSH:Engineering—Data processing LCSH:Mathematical physics LCSH:Mathematics LCSH:Social sciences FREE:Differential Equations FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical and Computational Engineering Applications FREE:Theoretical, Mathematical and Computational Physics FREE:Mathematics in the Humanities and Social Sciences
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-67110-9

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