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Uncertainty quantification for hyperbolic and kinetic equations
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Uncertainty quantification for hyperbolic and kinetic equations/ edited by Shi Jin, Lorenzo Pareschi.
other author:
Jin, Shi.
Published:
Cham :Springer International Publishing : : 2017.,
Description:
ix, 277p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Differential equations, Hyperbolic. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-67110-9
ISBN:
9783319671109
Uncertainty quantification for hyperbolic and kinetic equations
Uncertainty quantification for hyperbolic and kinetic equations
[electronic resource] /edited by Shi Jin, Lorenzo Pareschi. - Cham :Springer International Publishing :2017. - ix, 277p. :ill. (some col.), digital ;24 cm. - SEMA SIMAI springer series,v.142199-3041 ;. - SEMA SIMAI springer series ;v.14..
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.
ISBN: 9783319671109
Standard No.: 10.1007/978-3-319-67110-9doiSubjects--Topical Terms:
527745
Differential equations, Hyperbolic.
LC Class. No.: QA374
Dewey Class. No.: 515.353
Uncertainty quantification for hyperbolic and kinetic equations
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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.
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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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Mathematics and Statistics (Springer-11649)
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