Springer International Publishing AG, 2017. — 282 p. — (SEMA SIMAI Springer Series 14). — ISBN 331967109X.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.Contents The Stochastic Finite Volume Method UncertaintyModeling and Propagation in Linear Kinetic Equations Numerical Methods for High-Dimensional Kinetic Equations From Uncertainty Propagation in Transport Equations to Kinetic Polynomials Uncertainty Quantification for Kinetic Models in Socio–Economic and Life Sciences Uncertainty Quantification for Kinetic Equations Monte-Carlo Finite-VolumeMethods in Uncertainty Quantification for Hyperbolic Conservation Laws
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