The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

A New Approach for a Flux Solver Taking into Account Source Terms, Viscous and Multidimensional Effects.- Blowup for Hyperbolic Equations.- Some Analytical Results Concerning the Drift Diffusion Equations for Semiconductor Devices Coupled with Maxwell’s Equations.- Transport Equations and Orlicz Spaces.- Well-posedness of a 2 x 2 System of Resonant Conservation Laws.- The Relaxation Limit for Systems of Broadwell Type.- Weakly-nonlinear Hyperbolic Waves in BZT-fluids.- Inclusion of Solutions of Cauchy Problems for Quasilinear Hyperbolic Equations.- A Fed Back Level-Set Method for Moving Material-Void Interfaces.- Mathematical Aspects of Numerical Solution of Hyperbolic Systems.- Existence of Entropy Solutions for the Compressible Euler Equations.- Wave Propagation Methods for Conservation Laws with Source Terms.- Quasi-Characteristics Numerical Schemes.- On the Initial-value Problem for Zero-pressure Gas Dynamics.- Stability and Instability of Detonation Waves.- Central Schemes for Systems of Balance Laws.- Composite Centered Schemes for Multidimensional Conservation Laws.- On the Diffusion Limit of a Hyperbolic Relaxation System.- Well-Posedness Theory for System of Hyperbolic Conservation Laws.- Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions.- Front Tracking Based on Conservation in One and Two Space Dimensions.- A Genuinely Multi-dimensional Scheme for Mixed Hyperbolic-Parabolic Systems.- Recent Results in Non Linear Geometric Optics.- Evolution-Galerkin Methods: Algorithms and Analysis from a Finite Difference Viewpoint.- Hyperbolic Relaxation Approximation to Nonlinear Parabolic Problems.- A Comparison of Third and Second Order Accurate Finite Volume Schemes for the Two-dimensional Compressible Euler Equations.- UniqueSolutions to Discontinuous Hamilton-Jacobi Equations in Shape-From-Shading.- Relativistic Dissipative Hydrodynamics in the 3+1 Formulation.- Absolutely Transparent Boundary Conditions for Time-Dependent Wave-Type Problems.- Blow-up of Solutions in System of Atmosphere Dynamics.- Holomorphic Factorization for the Solution Operators for Hyperbolic Equations.- The Propagation of Shock Waves in 2-D System of Pressureless Gas Dynamics.- Hyperbolic Systems with Relaxation: Symmetrizers and Entropies.- Some Hyperbolic Models for Wave Propagation.- Discrete Shock Profiles and Their Stability.- Advances in Fast Marching and Level Set Methods for Propagating Interfaces.- Rate of Convergence for the Zero Relaxation Limit.- A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws.- Asymptotic Properties of Solutions to High-Order Hyperbolic Equations Generalizing the Damped Wave Equation.- A Volume-of-fluid Type Algorithm for Compressible Two-phase Flows.- Numerical Code for Magneto-Plasma Flows.- Highly-Accurate Artificial Boundary Conditions for Unsteady Transonic Flow Problems in Wind Tunnels.- Pointwise Convergence Rate for Nonlinear Conservation Laws.- Newton-GMRES Resolution of Ill Conditioned Hyperbolic Systems in Fluid Dynamics.- Applications of Shock-Waves in General Relativity.- The Riemann Problem for the Integrodifferential Equations of the Shallow Water Theory.- Decay and Uniqueness of Solutions of Nonlinear Hyperbolic Conservation Laws via Generalized Characteristics.- Radiative Shocks, Supersonic Turbulence and Structure Formation in Space.- A New Convergence Proof for FV Schemes.- The Particle Model of Compressible Fluids.- The Method of Transport for the Euler Equations Written as a Kinetic Scheme.- List of Participants.

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