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Titlebook: Uncertainty Quantification for Hyperbolic and Kinetic Equations; Shi Jin,Lorenzo Pareschi Book 2017 Springer International Publishing AG,

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发表于 2025-3-21 16:56:12 | 显示全部楼层 |阅读模式
书目名称Uncertainty Quantification for Hyperbolic and Kinetic Equations
编辑Shi Jin,Lorenzo Pareschi
视频video
概述The first-ever book on kinetic equations.Presents several different approaches by top authors in the field.Offers an up-to-date survey of current applications, including examples in the social science
丛书名称SEMA SIMAI Springer Series
图书封面Titlebook: Uncertainty Quantification for Hyperbolic and Kinetic Equations;  Shi Jin,Lorenzo Pareschi Book 2017 Springer International Publishing AG,
描述.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..
出版日期Book 2017
关键词Kinetic equations; Hyperbolic equations; Uncertainty quantification; Galerkin methods; Monte Carlo metho
版次1
doihttps://doi.org/10.1007/978-3-319-67110-9
isbn_softcover978-3-030-09790-5
isbn_ebook978-3-319-67110-9Series ISSN 2199-3041 Series E-ISSN 2199-305X
issn_series 2199-3041
copyrightSpringer International Publishing AG, part of Springer Nature 2017
The information of publication is updating

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发表于 2025-3-21 20:29:14 | 显示全部楼层
2199-3041 rrent applications, including examples in the social science.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-lev
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Uncertainty Quantification for Kinetic Equations,e, construction of efficient stochastic Galerkin methods, and handling of multiple scales by stochastic asymptotic-preserving schemes. The examples used to illustrate the main ideas include the random linear and nonlinear Boltzmann equations, linear transport equation and the Vlasov-Poisson-Fokker-Planck equations.
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Book 2017ods. 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..
发表于 2025-3-23 03:11:56 | 显示全部楼层
From Uncertainty Propagation in Transport Equations to Kinetic Polynomials,merical illustrations show the properties of these new techniques. A surprising linked to quaternion algebras is evoked in relation with kinetic polynomials. Natural limitations are discussed in the conclusion.
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