Hyperbolic Problems: Theory, Numerics, Applications: Eighth International Conference in Magdeburg, February/March 2000 Volume 1

Front Matter....Pages i-xvi
Ghost-Fluids for the Poor: A Single Fluid Algorithm for Multifluids....Pages 1-10
Propagation of Smoothness for Edge-degenerate Wave Equations....Pages 11-18
Front Tracking for Non Genuinely Nonlinear Conservation Laws....Pages 19-28
Well-Posedness for Non Genuinely Nonlinear Conservation Laws....Pages 29-38
Wave Phenomena at Liquid-solid Interfaces....Pages 39-48
Diffusive Discrete BGK Schemes for Nonlinear Hyperbolic-parabolic Systems....Pages 49-58
Non-oscillatory Lax-Friedrichs Type Central Finite Volume Methods for 3-D Flows on Unstructured Tetrahedral Grids....Pages 59-68
Stability of Maxwell States in Thermo-Elasticity....Pages 69-77
The Riemann-Problem in Extended Thermodynamics....Pages 79-88
Heterogeneous Domain Decomposition Methods for Compressible Magneto-plasma Flows....Pages 89-98
Magnetoplasmadynamic Rocket Thruster Simulation....Pages 99-108
The Eikonal Equation on a Manifold. Applications to Grid Generation or Refinement....Pages 109-118
Crossflow Instabilities in the Approximation of Detonation Waves....Pages 119-128
Wave Propagation Algorithms for Hyperbolic Systems on Curved Manifolds....Pages 129-138
The Random Projection Method for Stiff Multi-species Detonation Computation....Pages 139-148
On the Stability of Large Amplitude Semi-discrete Shock Profiles by Means of an Evans Function in Infinite Dimensions....Pages 149-157
Viscosity Solutions for Hyperbolic Systems where Shock Curves are Straight Lines....Pages 159-167
Adaptive Finite Elements for Stationary Compressible Flows at Low Mach Number....Pages 169-178
A Monge-Kantorovich Approach to the Maxwell Equations....Pages 179-186
Convergence of the Godunov Scheme for Straight Line Systems....Pages 187-196
The Convergence of Multicomponent Chromatography with Relaxation....Pages 197-205
A Strongly Degenerate Convection-diffusion Problem Modeling Centrifugation of Flocculated Suspensions....Pages 207-216
Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation....Pages 217-226
A Hyperbolic System of Conservation Laws in Modeling Endovascular Treatment of Abdominal Aortic Aneurysm....Pages 227-236
Study on Supersonic Flow Past a Pointed Body....Pages 237-245
Fine-Mesh Numerical Simulations for 2D Riemann Problems with a Multilevel Scheme....Pages 247-256
Multiresolution Analysis on Triangles: Application to Gas Dynamics....Pages 257-266
Propagation and Interaction of Nonlinear Waves to Quasilinear Equations....Pages 267-276
MHD Instabilities Arising in Solar Physics: A Numerical Approach....Pages 277-286
Numerical Methods for the Real Gas MHD Equations....Pages 287-296
Towards a Kinetic Model of Turbulent Incompressible Fluids....Pages 297-306
Parabolic Relaxation of Semilinear Multidimensional Hyperbolic Systems....Pages 307-316
Large Time Asymptotics in Contaminant Transport in Porous Media with Variable Diffusion....Pages 317-325
A Nonlinear Flux Vector Split Defect Correction Scheme for Fast Solutions of the Euler and Navier-Stokes Equations....Pages 327-336
A Continuous Dependence Result for Nonlinear Degenerate Parabolic Equations with Spatially Dependent Flux Function....Pages 337-346
A Lagrangian Central Scheme for Multi-Fluid Flows....Pages 347-356
Ultimate Boundedness, Propagation of Oscillations, and the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Fluid Flows....Pages 357-362
Adaptive Methods for the Solution of Compressible Flow....Pages 363-372
The MoT-ICE: A New Multi-dimensional Wave-propagation-algorithm Based on Fey’s Method of Transport. With Application to the Euler- and MHD-equations....Pages 373-380
Positive Decompositions of the Euler Equations into Advection Equations....Pages 381-389
The Einstein-Dirac-Yang/Mills Equations: Black Holes....Pages 391-398
A Numerical Study on Viscous Profiles of MHD Shock Waves....Pages 399-408
A Vanishing Debye Length Limit in a Hydrodynamic Model for Semiconductors....Pages 409-414
Dynamic Mesh Adaption for Supersonic Reactive Flow....Pages 415-424
A High-Resolution Scheme for the Elastic-Plastic Wave Equation....Pages 425-433
Stability for Temple Class Systems with L ∞ Boundary Data....Pages 435-444
Linear Stability of Shock Profiles for Systems of Conservation Laws with Semi-linear Relaxation....Pages 445-452
A Nonconservative Numerical Approach for Hyperbolic Systems with Source Terms: The Well-Balanced Schemes....Pages 453-461
Multidimensional Artificial Dissipation for the Numerical Approximation of Conservation Laws....Pages 463-472
Back Matter....Pages 473-474