Discrete Kinetic Schemes for Systems of Conservation Laws -- A Mixed Finite Volume/Finite Element Method for 2-dimensional Compressible Navier-Stokes Equations on Unstructured Grids -- Large Time Stability of Propagating Phase Boundaries -- Convergence of Meshless Methods for Conservation Laws Applications to Euler equations -- Multi-dimensional Stability of Propagating Phase Boundaries -- Travelling Wave Solutions of a Convective Diffusive System with First and Second Order Terms in Nonconservation Form -- High Order Central Schemes for Hyperbolic Systems of Conservation Laws -- A Simple Algorithm to Improve the Accuracy of TVD-MUSCL Schemes -- Hyperbolic Initial Boundary Value Problems on the Stability of Strong Discontinuities in Continuum Mechanics -- On Hyperbolic Integro-differential von Kármán Equations for Viscoelastic Plates -- Courant's Problems and Their Extensions -- Old and New Hyperbolic Approaches in General Relativity -- Differentiability with Respect to Initial Data for a Scalar Conservation Law -- Evolution Behavior of Transverse Shocks in a Nonlinear Elastic Layer -- A Naive Riemann Solver to Compute a Non-conservative Hyperbolic System -- Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws -- Non-symmetric Conical Supersonic Flow -- On the Preconditioning of Finite Volume Schemes -- A Priori Error Estimates for Nonlinear Scalar Conservation Laws -- Traveling Waves for Combustion in Porous Media -- Evolution of a Cusp-like Singularity in a Vortex Patch -- A Bow Shock Flow Containing (Almost) All Types of ('Exotic') MHD Discontinuities -- Application of Kinetic Schemes to All Types of Meshes -- On the Regularity of Solutions of the Compressible Isentropic Navier-Stokes Equations -- Entropy Inequality for High Order Discontinuous Galerkin Approximation of Euler Equations -- Asymptotic Equations for Weakly Nonlinear Elastic Waves in a Cubic Crystal -- Computing Strong Shocks in Ultrarelativistic Flows: A Robust Alternative -- A Free Boundary Problem for an Elastic-Plastic Flow Model -- Numerical Errors Downstream of Slightly Viscous Shocks -- Multiphase Computations in Geometrical Optics -- Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes -- On the Numerical Solution of Multi-dimensional Non-linear Systems of Conservation Laws -- 3D Radiative Transfer Under Conditions of Non-local Thermodynamic Equilibrium: A Contribution to the Numerical Solution -- Flow Simulations on Cartesian Grids Involving Complex Moving Geometries -- Comparisons of Cell Centered and Cell Vertex Finite Volume Methods for Internal Flow Problems -- Numerical Methods for Viscous Profiles of Non-classical Shock Waves -- On the Asymptotic Behavior of Solutions of Certain Multi-D Viscous Systems of Conservation Laws -- Stability of General Shock profiles - a Novel Weight Function for the Non-convex Case -- Global Correctness of Cauchy Problem for Nonlinear Conservation Laws Systems and one Example for the Gas Dynamics -- Asymptotics for Hyperbolic Equations with a Skew-symmetric Perturbation -- Decomposition of the Elastic-plastic Wave Equation into Advection Equations -- Adaptive Finite Volume Schemes for Conservation Laws Based on Local Multiresolution Techniques -- Existence of Global Smooth Solutions to Euler Equations for an Isentropic Perfect Gas -- Adaptive Mesh Refinement for Singular Structures in Incompressible Hydro- and Magnetohydrodynamic Flows -- Adaptive Sparse Grids for Hyperbolic Conservation Laws -- Numerical Results for the Flux Identification in a System of Conservation Laws -- Adaptive Mesh Coarsening in CFD -- Adaptive Grid Methods for Reactive Flows -- The Riemann Problem of a System for a Phase Transition Problem -- Computation of High-speed Flow Using Non-Oscillatory Scheme -- Nonlinear MHD Processes in the Sun's Atmosphere -- The Relaxation Approximation to Hyperbolic System of Conservation Laws -- A Front Tracking Method for Conservation Laws with Boundary Conditions.