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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. Sjogreen 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.
| ISBN | 3540443339 | | Pages | 978 | | ISBN13 | 9783540443339 (What's this?) | | Volumes | 1 | | Publisher | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG | | Weight (grammes) | 1533 | | Imprint | Springer-Verlag Berlin and Heidelberg GmbH & Co. K | | Published in | Berlin | | Format | Hardback | | Height (mm) | 234 | | Publication date | 19 Sep 2003 | | Width (mm) | 156 | | Library of Congress | 2003060639 | | Spine width (mm) | 50 | | DEWEY | 515.3535 | | Academic level | Professional / Scholarly | | DEWEY edition | DC22 | |
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| | | Diffusion Limits of Kinetic Models by N. Ben Abdallah and P. Degond and F. Deluzet and V. Latocha and R. Talaalout and M. H. Vignal | | 3 | | | | Viscosity Solutions for Nonlinear Hyperbolic Systems by Alberto Bressan | | 19 | | | | Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media by Randall J. LeVeque and Darryl H. Yong | | 43 | | | | Energy Method for Equations in Gas Dynamics by Tai-Ping Liu and Shih-Hsien Yu | | 53 | | | | Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws by Benoit Perthame and Chiara Simeoni | | 61 | | | | An Overview on High Order Numerical Methods for Convection Dominated PDEs by Chi-Wang Shu | | 79 | | | | Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows by Bjorn Sjogreen and H. C. Yee | | 89 | | | | Nonlinear Boundary Layers of the Boltzmann Equation by Seiji Ukai and Tong Tang and Shih-Hsien Yu | | 103 | | | | An Homogenized Hyperbolic Model of Multiclass Traffic Flow: A Few Examples by Patrizia Bagnerini and Michel Rascle | | 113 | | | | The GRP Treatment of 2-D Complex Wave Structures by M. Ben-Artzi and J. Falcovitz | | 125 | | | | BV Solutions of Semidiscrete Upwind Scheme by Stefano Bianchini | | 135 | | | | A Supplement to Entropy Condition by Shuxing Chen | | 143 | | | | Robust Treatment of Interfaces for Fluid Flows and Computer Graphics by Doug Enright and Ron Fedkiw | | 153 | | | | Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors by Ingenuin Gasser and Ling Hsiao and Hailiang Li | | 165 | | | | Simplification, Conservation and Adaptivity in the Front Tracking Method by E. George and J. Glimm and J. W. Grove and X. L. Li and Y. J. Liu and Z. L. Xu and N. Zhao | | 175 | | | | Discrete Adjoint Approximations with Shocks by M. B. Giles | | 185 | | | | Far-field Evaluation via Nonreflecting Boundary Conditions by M. J. Grote and C. Kirsch | | 195 | | | | L[superscript 1] Stability for the One-dimensional Broadwell Model of a Discrete Velocity Gas by Seung-Yeal Ha and Athanasios E. Tzavaras | | 205 | | | More... | | |
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