Uncertainty Quantification for Hyperbolic and Kinetic Equations

Buch | Hardcover

IX, 277 Seiten

2018 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-67109-3 (ISBN)

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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.

Shi Jin is a Vilas Distinguished Achievement Professor of Mathematics at the University of Wisconsin-Madison. He earned his B.S. from Peking University and his Ph.D. from the University of Arizona. His research fields include computational fluid dynamics, kinetic equations, hyperbolic conservation laws, high frequency waves, quantum dynamics, and uncertainty quantification - fields in which he has published over 140 papers. He has been honored with the Feng Kang Prize in Scientific Computing and the Morningside Silver Medal of Mathematics at the Fourth International Congress of Chinese Mathematicians, and is a Fellow of both the American Mathematical Society and the Society for Industrial and Applied Mathematics (SIAM).

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.

Erscheinungsdatum	13.04.2018
Reihe/Serie	SEMA SIMAI Springer Series
Zusatzinfo	IX, 277 p. 76 illus., 68 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	596 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Appl.Mathematics/Computational Methods of Engineer • Computational Mathematics and Numerical Analysis • Differential calculus & equations • Differential calculus & equations • Galerkin Methods • Hyperbolic equations • kinetic equations • Mathematical Physics • Mathematics • mathematics and statistics • Mathematics in the Humanities and Social Sciences • Maths for engineers • Maths for scientists • Monte Carlo methods • Numerical analysis • Numerical and Computational Physics, Simulation • Partial differential equations • uncertainty quantification
ISBN-10	3-319-67109-X / 331967109X
ISBN-13	978-3-319-67109-3 / 9783319671093
Zustand	Neuware