Uncertainty Quantification for Hyperbolic and Kinetic Equations

• Corporate Author: SpringerLink (Online service)
• Other Authors: Jin, Shi (Editor, http://id.loc.gov/vocabulary/relators/edt), Pareschi, Lorenzo (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 1st ed. 2017.
• Series: SEMA SIMAI Springer Series, 14
• Subjects: Partial differential equations.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Physics.; Mathematics.; Social sciences.; Partial Differential Equations.; Computational Mathematics and Numerical Analysis.; Mathematical and Computational Engineering.; Numerical and Computational Physics, Simulation.; Mathematics in the Humanities and Social Sciences.

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 metho...

Table of Contents:

• 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.