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.
• Physical Description: IX, 277 p. 76 illus., 68 illus. in color. online resource.
• ISBN: 9783319671109
• ISSN: 2199-3041 ;
• DOI: 10.1007/978-3-319-67110-9

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.