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Hyperbolic Problems: Theory, Numerics, Applications

Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25–29 2002

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Thomas Y. Hou

    1. Department of Applied and Computational Mathematics 217-50, California Institute of Technology, Pasadena, USA

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  2. Eitan Tadmor

    1. Center for Scientific Computation and Mathematical Modeling (CSCAMM) Department of Mathematics, University of Maryland, College Park, USA
      Institute for Physical Science & Technology (IPST), University of Maryland, College Park, USA

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Table of contents (90 papers)

  1. Front Matter

    Pages I-XIV
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  2. Plenary Talks

    1. Front Matter

      Pages 1-1
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    2. Diffusion Limits of Kinetic Models

      • N. Ben Abdallah, P. Degond, F. Deluzet, V. Latocha, R. Talaalout, M. H. Vignal
      Pages 3-17

    3. Viscosity Solutions for Nonlinear Hyperbolic Systems

      • Alberto Bressan
      Pages 19-41

    4. Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media

      • Randall J. LeVeque, Darryl H. Yong
      Pages 43-51

    5. Energy Method for Equations in Gas Dynamics

      • Tai-Ping Liu, Shih-Hsien Yu
      Pages 53-60

    6. Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws

      • Benoît Perthame, Chiara Simeoni
      Pages 61-78

    7. An Overview on High Order Numerical Methods for Convection Dominated PDEs

      • Chi-Wang Shu
      Pages 79-88

    8. Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows

      • Björn Sjögreen, H. C. Yee
      Pages 89-101

    9. Nonlinear Boundary Layers of the Boltzmann Equation

      • Seiji Ukai, Tong Tang, Shih-Hsien Yu
      Pages 103-110

  3. Invited Talks

    1. Front Matter

      Pages 111-111
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    2. An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples

      • Patrizia Bagnerini, Michel Rascle
      Pages 113-123

    3. The GRP Treatment of 2-D Complex Wave Structures

      • M. Ben-Artzi, J. Falcovitz
      Pages 125-134

    4. BV Solutions of Semidiscrete Upwind Scheme

      • Stefano Bianchini
      Pages 135-142

    5. A Supplement to Entropy Condition

      • Shuxing Chen
      Pages 143-151

    6. Robust Treatment of Interfaces for Fluid Flows and Computer Graphics

      • Doug Enright, Ron Fedkiw
      Pages 153-164

    7. Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors

      • Ingenuin Gasser, Ling Hsiao, Hailiang Li
      Pages 165-174

    8. Simplification. Conservation and Adaptivity in the Front Tracking Method

      • E. George, J. Glimm, J. W. Grove, X. L. Li, Y. J. Liu, Z. L. Xu et al.
      Pages 175-184

    9. Discrete Adjoint Approximations with Shocks

      • M. B. Giles
      Pages 185-194

    10. Far-field Evaluation via Nonreflecting Boundary Conditions

      • M. J. Grote, C. Kirsch
      Pages 195-204
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Keywords

About this book

The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 25-30, 2002. The conference was the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multi-scale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multi-component fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.

Editors and Affiliations

  • Department of Applied and Computational Mathematics 217-50, California Institute of Technology, Pasadena, USA

    Thomas Y. Hou

  • Center for Scientific Computation and Mathematical Modeling (CSCAMM) Department of Mathematics, University of Maryland, College Park, USA

    Eitan Tadmor

  • Institute for Physical Science & Technology (IPST), University of Maryland, College Park, USA

    Eitan Tadmor

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