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SEMA SIMAI Springer Series

Uncertainty Quantification for Hyperbolic and Kinetic Equations

Editors: Jin, Shi, Pareschi, Lorenzo (Eds.)

  • 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 
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Buy this book

eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-67110-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for Mexico
  • ISBN 978-3-319-67109-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

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).

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.

Table of contents (7 chapters)

  • The Stochastic Finite Volume Method

    Abgrall, Rémi (et al.)

    Pages 1-57

  • Uncertainty Modeling and Propagation in Linear Kinetic Equations

    Bal, Guillaume (et al.)

    Pages 59-92

  • Numerical Methods for High-Dimensional Kinetic Equations

    Cho, Heyrim (et al.)

    Pages 93-125

  • From Uncertainty Propagation in Transport Equations to Kinetic Polynomials

    Després, Bruno

    Pages 127-150

  • Uncertainty Quantification for Kinetic Models in Socio–Economic and Life Sciences

    Dimarco, Giacomo (et al.)

    Pages 151-191

Buy this book

eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-67110-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for Mexico
  • ISBN 978-3-319-67109-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Uncertainty Quantification for Hyperbolic and Kinetic Equations
Editors
  • Shi Jin
  • Lorenzo Pareschi
Series Title
SEMA SIMAI Springer Series
Series Volume
14
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-67110-9
DOI
10.1007/978-3-319-67110-9
Hardcover ISBN
978-3-319-67109-3
Series ISSN
2199-3041
Edition Number
1
Number of Pages
IX, 277
Number of Illustrations and Tables
8 b/w illustrations, 68 illustrations in colour
Topics