TY - BOOK AU - Jin,Shi AU - Pareschi,Lorenzo ED - SpringerLink (Online service) TI - Uncertainty Quantification for Hyperbolic and Kinetic Equations T2 - SEMA SIMAI Springer Series, SN - 9783319671109 AV - QA370-380 U1 - 515.353 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Partial differential equations KW - Computer mathematics KW - Applied mathematics KW - Engineering mathematics KW - Physics KW - Mathematics KW - Social sciences KW - Partial Differential Equations KW - Computational Mathematics and Numerical Analysis KW - Mathematical and Computational Engineering KW - Numerical and Computational Physics, Simulation KW - Mathematics in the Humanities and Social Sciences N1 - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-3-319-67110-9 ER -