Hyperbolic Problems: Theory, Numerics, Applications, Softcover reprint of the original 1st ed. 2003
Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25-29 2002

Plenary Talks.- Diffusion Limits of Kinetic Models.- Viscosity Solutions for Nonlinear Hyperbolic Systems.- Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media.- Energy Method for Equations in Gas Dynamics.- Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws.- An Overview on High Order Numerical Methods for Convection Dominated PDEs.- Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows.- Nonlinear Boundary Layers of the Boltzmann Equation Invited Talks.- Invited Talks.- An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples.- The GRP Treatment of 2-D Complex Wave Structures.- BV Solutions of Semidiscrete Upwind Scheme.- A Supplement to Entropy Condition.- Robust Treatment of Interfaces for Fluid Flows and Computer Graphics.- Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors.- Simplification, Conservation and Adaptivity in the Front Tracking Method.- Discrete Adjoint Approximations with Shocks.- Far-field Evaluation via Nonreflecting Boundary Conditions.- L1 Stability for the One-dimensional Broadwell Model of a Discrete Velocity Gas.- Recent Progress on Quantum Hydrodynamic Models for Semiconductors.- Critical Thresholds and Conditional Stability for Euler Equations and Related Models.- High-order Asymptotically Strong-stability-preserving Methods for Hyperbolic Systems with Stiff Relaxation.- Contributed Talks.- Some Results on the Boundary Control of Systems of Conservation Laws.- Dynamics of Collapsing Bubbles Near Walls.- The Riemann Problem for a Two-phase Model.- Evaluation of a Well-posed Perfectly Matched Layer for Computational Acoustics.- New Space Staggered and Time Interleaved 2nd Order Finite Volume Methods.- High-resolution Riemann-solver-free Methods for Conservation Laws.- Riemann Problem for Conservation Laws with an Umbilic Point.- Admissibility of Shock Waves and Uniqueness of the Riemann Problem.- Eulerian Approximate Ray Tracing and Applications to Grid Generation.- Non-convex Flux Functions and Compound Shock Waves in Sediment Beds.- Derivation of Schrödinger Poisson as the Non-relativistic Limit of Klein-Gordon Maxwell.- Multigrid for Atmospheric Data Assimilation: Analysis.- A Theory of Implicit Methods for Scalar Conservation Laws.- High-Order Schemes for Multi-Dimensional.- On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area.- Numerical Approximation of the Navier-Stokes Equations with Several Independent Specific Entropies.- Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains.- Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid.- Discontinuous Solutions of Hamilton-Jacobi Equations: Existence, Uniqueness, and Regularity.- Conservation Laws and O.D.E.s.: A Traffic Problem.- Phase Transitions and Chapman-Jouguet Combustions.- Weak Stability of Multidimensional Shocks.- Propagation and Interaction of Delta-Shock Waves of a Hyperbolic System of Conservation Laws.- Multidimensional Compressible Flows with Symmetry.- Efficient Higher-Order Finite Volume Schemes for (Real Gas) Magnetohydrodynamics.- A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations.- Global Solutions for a Dusty Media Model.- A Constrained Transport Upwind Scheme for Divergence-free Advection.- Green’s Function Pointwise Estimates for the Modified Lax-Friedrichs Scheme.- A Class of Global Non Smooth Axisymmetric Solutions to the Euler Equation s of an Isentropic Perfect Gas in 2 Space Dimensions.- A Numerical Method for Cont rollability Problems for the Wave Equation.- Numerical Study of a Viscous Consolidation Model.- Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals.- The Riemann Problem for a Phase Transition Problem in Thermoelastic Materials.- The Global Existence and Large Time Behavior of Solutions to the Multidimensional Euler-Poisson Equations.- Relaxation Schemes for Conservation Laws with Discontinuous Coefficients.- Relaxation Models and Finite Element Schemes for the Shallow Water Equations.- Second-order Approximation of the Viscous Saint-Venant System and Comparison with Experiments.- Dynamics of Multilayer Shear Flows.- Effects of Viscosity on a Shock Wave Solution of the Euler Equations.- An Accurate Deterministic Projection Method for Hyperbolic Systems with Stiff Source Term.- Adaptive Second Order Central Schemes on Unstructured Staggered Grids.- Physical Symmetries and Hyperbolic GLM Divergence Correction Scheme for Maxwell and MHD Equations.- Mathematical Modelling of Traffic Flows.- New High-Resolution Central-Upwind Schemes for Nonlinear Hyperbolic Conservation Laws.- Afternotes on PHM: Harmonic ENO methods.- One-dimensional Stability of Viscous Shock and Relaxation Profiles.- Simulation of Cavitation in Thermodynamic Equilibrium.- Semi-discrete Finite Element Method for a Class of Visco-elastic Problems with Long Memory under Condition of Friction.- Global Solutions for a Free Boundary Problem of Hyperbolic Type in the Case of Non-negative Peeling Speed.- Stability Analysis for Periodic Solution Waves in Viscous Conservation Laws.- Scalar Conservation Laws with Boundary Effect.- To the Theory of Generalized Entropy Solutions of the Cauchy Problem for a First Order Quasilinear Equation in the Class of Locally Integrable Functions.- Pressure Linearization Method for the Computation of Real Fluids.- Modeling and Computing Geophysical Mass Flows.- Adaptive Application of Characteristic Projection for Central Schemes.- Comparison of Several Difference Schemes for the Euler Equations in 1D and 2D.- Adaptive Time Integration for Hyperboli c Conservation Equations.- A Constrained Transport Method for the Shallow Water MHD Equations.- Solutions with Linear Profile of Velocity to the Euler Equations in Several Dimensions.- An Adaptive Order Godunov Type Central Scheme.- Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme.- Particle Method for Simulation of Free Surface Flows.- Three-dimensional Numerical Modelling of Convective Instability by Supernova Explosion with Nested Grid s Scheme on Multiprocessors Systems.- A Local Level-Set Concept for Front Tracking on Arbitrary Grids.- Large-Time Behavior of Solutions to the Multi-Dimensional Euler Equations with Damping.- Isentropic Gas Dynamics with Large Data.- Third and Fourth Order Weighted ENO Schemes for Hamilton-Jacobi Equations on 2D Unstructured Meshes.- High Resolution Conjugate Filters for Hyperbolic Conservation Laws.- List of Participants.