Hyperbolic Problems

Ghost-Fluids for the Poor: A Single Fluid Algorithm for Multifluids.- Propagation of Smoothness for Edge-degenerate Wave Equations.- Front Tracking for Non Genuinely Nonlinear Conservation Laws.- Well-Posedness for Non Genuinely Nonlinear Conservation Laws.- Wave Phenomena at Liquid-solid Interfaces.- Diffusive Discrete BGK Schemes for Nonlinear Hyperbolic-parabolic Systems.- Non-oscillatory Lax-Friedrichs type Central Finite Volume Methods for 3-D Flows on Unstructured Tetrahedral Grids.- Stability of Maxwell States in Thermo-Elasticity.- The Riemann-Problem in Extended Thermodynamics.- Heterogeneous Domain Decomposition Methods for Compressible Magneto-plasma Flows.- Magnetoplasmadynamic Rocket Thruster Simulation.- The Eikonal Equation on a Manifold. Applications to Grid Generation or Refinement.- Crossflow Instabilities in the Approximation of Detonation Waves.- Wave Propagation Algorithms for Hyperbolic Systems on Curved Manifolds.- The Random Projection Method for Stiff Multi-species Detonation Computation.- On the Stability of Large Amplitude Semi-discrete Shock Profiles by Means of an Evans Function in Infinite Dimensions.- Viscosity Solutions for Hyperbolic Systems where Shock Curves are Straight Lines.- Adaptive Finite Elements for Stationary Compressible Flows at Low Mach Number.- A Monge-Kantorovich Approach to the Maxwell Equations.- Convergence of the Godunov Scheme for Straight Line Systems.- The Convergence of Multicomponent Chromatography with Relaxation.- A Strongly Degenerate Convection-diffusion Problem Modeling Centrifugation of Flocculated Suspensions.- Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation.- A Hyperbolic System of Conservation Laws in Modeling Endovascular Treatment of Abdominal Aortic Aneurysm.- Study on Supersonic Flow Past a Pointed Body.- Fine-Mesh Numerical Simulations for 2D Riemann Problems with a Multilevel Scheme.- Multiresolution Analysis on Triangles: Application to Gas Dynamics.- Propagation and Interaction of Nonlinear Waves to Quasilinear Equations.- MHD Instabilities Arising in Solar Physics: A Numerical Approach.- Numerical Methods for the Real Gas MHD Equations.- Towards a Kinetic Model of Thrbulent Incompressible Fluids.- Parabolic Relaxation of Semilinear Multidimensional Hyperbolic Systems.- Large Time Asymptotics in Contaminant Transport in Porous Media with Variable Diffusion.- A Nonlinear Flux Vector Split Defect Correction Scheme for Fast Solutions of the Euler and Navier-Stokes Equations.- A Continuous Dependence Result for Nonlinear Degenerate Parabolic Equations with Spatially Dependent Flux Function.- A Lagrangian Central Scheme for Multi-Fluid Flows.- Ultimate Boundedness, Propagation of Oscillations, and the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Fluid Flows.- Adaptive Methods for the Solution of Compressible Flow.- The MoT-ICE: A New Multi-dimensional Wave-propagation-algorithm Based on Fey's Method of Transport. With Application to the Eulerand MHD-equations.- Posit ive Decompositions of the Euler Equations into Advection Equations.- The Einstein-Dirac-Yang/Mills Equations: Black Holes.- A Numerical Study on Viscous Profiles of MHD Shock Waves.- A Vanishing Debye Length Limit in a Hydrodynamic Model for Semiconductors.- Dynamic Mesh Adapt ion for Supersonic Reactive Flow.- A High-Resolution Scheme for the Elastic-Plastic Wave Equation.- Stability for Temple Class Systems with L?Boundary Data.- Linear Stability of Shock Profiles for Systems of Conservation Laws with Semi-linear Relaxation.- A Nonconservative Numerical Approach for Hyperbolic Systems with Source Terms: The Well-Balanced Schemes.- Multidimensional Artificial Dissipation for t he Numerical Approximation of Conservation Laws.- Author Index.