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Uncertainty Quantification for Hyperbolic and Kinetic Equations

  • Shi Jin
  • Lorenzo Pareschi
Book

Part of the SEMA SIMAI Springer Series book series (SEMA SIMAI, volume 14)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Rémi Abgrall, Svetlana Tokareva
    Pages 1-57
  3. Guillaume Bal, Wenjia Jing, Olivier Pinaud
    Pages 59-92
  4. Heyrim Cho, Daniele Venturi, George Em Karniadakis
    Pages 93-125
  5. Giacomo Dimarco, Lorenzo Pareschi, Mattia Zanella
    Pages 151-191
  6. Jingwei Hu, Shi Jin
    Pages 193-229

About this book

Introduction

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.


Keywords

Kinetic equations Hyperbolic equations Uncertainty quantification Galerkin methods Monte Carlo methods

Editors and affiliations

  • Shi Jin
    • 1
  • Lorenzo Pareschi
    • 2
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA
  2. 2.Dipartimento di Matematica e InformaticaUniversità degli Studi di FerraraFerraraItaly

Bibliographic information

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