Uncertainty Quantification for Hyperbolic and Kinetic Equations

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Jin, Shi (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Pareschi, Lorenzo (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Έκδοση: 1st ed. 2017.
• Σειρά: SEMA SIMAI Springer Series, 14
• Θέματα: 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 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. 

 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.