Overview
- The first-ever book on kinetic equations
- Presents several different approaches by top authors in the field
- Offers an up-to-date survey of current applications, including examples in the social sciences
Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 14)
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Table of contents (7 chapters)
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Front Matter
Keywords
About this book
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.
Editors and Affiliations
About the editors
Lorenzo Pareschi is a Full Professor of Numerical Analysis at the Department of Mathematics and Computer Science, University of Ferrara, Italy. He received his Ph.D. in Mathematics from the University of Bologna, Italy and subsequently held visiting professor appointments at the University of Wisconsin-Madison, the University of Orleans and University of Toulouse, France, and the Imperial College, London, UK. His research interests include multiscale modeling and numerical methods for phenomena described by time dependent nonlinear partial differential equations, in particular by means of hyperbolic balance laws and kinetic equations. He is the author/editor of nine books and more than 110 papers in peer-reviewed journals.
Bibliographic Information
Book Title: Uncertainty Quantification for Hyperbolic and Kinetic Equations
Editors: Shi Jin, Lorenzo Pareschi
Series Title: SEMA SIMAI Springer Series
DOI: https://doi.org/10.1007/978-3-319-67110-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Hardcover ISBN: 978-3-319-67109-3Published: 27 March 2018
Softcover ISBN: 978-3-030-09790-5Published: 11 December 2018
eBook ISBN: 978-3-319-67110-9Published: 20 March 2018
Series ISSN: 2199-3041
Series E-ISSN: 2199-305X
Edition Number: 1
Number of Pages: IX, 277
Number of Illustrations: 8 b/w illustrations, 68 illustrations in colour
Topics: Partial Differential Equations, Computational Mathematics and Numerical Analysis, Mathematical and Computational Engineering, Numerical and Computational Physics, Simulation, Mathematics in the Humanities and Social Sciences