Jin S., Pareschi L. (Eds.) Uncertainty Quantification for Hyperbolic and Kinetic Equations

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.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