Hyperbolic Problems: Theory, Numerics, Applications: Seventh International Conference in Zürich, February 1998 Volume I

Front Matter....Pages i-xii
Discrete Kinetic Schemes for Systems of Conservation Laws....Pages 1-10
A Mixed Finite Volume/Finite Element Method for 2-dimensional Compressible Navier-Stokes Equations on Unstructured Grids....Pages 11-20
Large Time Stability of Propagating Phase Boundaries....Pages 21-29
Convergence of Meshless Methods for Conservation Laws Applications to Euler equations....Pages 31-40
Multi-dimensional Stability of Propagating Phase Boundaries....Pages 41-45
Travelling Wave Solutions of a Convective Diffusive System with First and Second Order Terms in Nonconservation Form....Pages 47-54
High Order Central Schemes for Hyperbolic Systems of Conservation Laws....Pages 55-64
A Simple Algorithm to Improve the Accuracy of TVD-MUSCL Schemes....Pages 65-75
Hyperbolic Initial Boundary Value Problems on the Stability of Strong Discontinuities in Continuum Mechanics....Pages 77-86
On Hyperbolic Integro-differential von Kármán Equations for Viscoelastic Plates....Pages 87-96
Courant’s Problems and Their Extensions....Pages 97-104
Old and New Hyperbolic Approaches in General Relativity....Pages 105-112
Differentiability with Respect to Initial Data for a Scalar Conservation Law....Pages 113-118
Evolution Behavior of Transverse Shocks in a Nonlinear Elastic Layer....Pages 119-128
A Naive Riemann Solver to Compute a Non-conservative Hyperbolic System....Pages 129-138
Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws....Pages 139-148
Non-symmetric Conical Supersonic Flow....Pages 149-158
On the Preconditioning of Finite Volume Schemes....Pages 159-165
A Priori Error Estimates for Nonlinear Scalar Conservation Laws....Pages 167-176
Traveling Waves for Combustion in Porous Media....Pages 177-187
Evolution of a Cusp-like Singularity in a Vortex Patch....Pages 189-194
A Bow Shock Flow Containing (Almost) All Types of (‘Exotic’) MHD Discontinuities....Pages 195-204
Application of Kinetic Schemes to All Types of Meshes....Pages 205-214
On the Regularity of Solutions of the Compressible Isentropic Navier-Stokes Equations....Pages 215-224
Entropy Inequality for High Order Discontinuous Galerkin Approximation of Euler Equations....Pages 225-231
Asymptotic Equations for Weakly Nonlinear Elastic Waves in a Cubic Crystal....Pages 233-241
Computing Strong Shocks in Ultrarelativistic Flows: A Robust Alternative....Pages 243-251
A Free Boundary Problem for an Elastic-Plastic Flow Model....Pages 253-262
Numerical Errors Downstream of Slightly Viscous Shocks....Pages 263-271
Multiphase Computations in Geometrical Optics....Pages 273-284
Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes....Pages 285-294
On the Numerical Solution of Multi-dimensional Non-linear Systems of Conservation Laws....Pages 295-303
3D Radiative Transfer Under Conditions of Non-local Thermodynamic Equilibrium: A Contribution to the Numerical Solution....Pages 305-314
Flow Simulations on Cartesian Grids Involving Complex Moving Geometries....Pages 315-324
Comparisons of Cell Centered and Cell Vertex Finite Volume Methods for Internal Flow Problems....Pages 325-332
Numerical Methods for Viscous Profiles of Non-classical Shock Waves....Pages 333-342
On the Asymptotic Behavior of Solutions of Certain Multi-D Viscous Systems of Conservation Laws....Pages 343-352
Stability of General Shock profiles — a Novel Weight Function for the Non-convex Case....Pages 353-359
Global Correctness of Cauchy Problem for Nonlinear Conservation Laws Systems and one Example for the Gas Dynamics....Pages 361-367
Asymptotics for Hyperbolic Equations with a Skew-symmetric Perturbation....Pages 369-373
Decomposition of the Elastic-plastic Wave Equation into Advection Equations....Pages 375-384
Adaptive Finite Volume Schemes for Conservation Laws Based on Local Multiresolution Techniques....Pages 385-394
Existence of Global Smooth Solutions to Euler Equations for an Isentropic Perfect Gas....Pages 395-400
Adaptive Mesh Refinement for Singular Structures in Incompressible Hydro- and Magnetohydrodynamic Flows....Pages 401-410
Adaptive Sparse Grids for Hyperbolic Conservation Laws....Pages 411-422
Numerical Results for the Flux Identification in a System of Conservation Laws....Pages 423-432
Adaptive Mesh Coarsening in CFD....Pages 433-444
Adaptive Grid Methods for Reactive Flows....Pages 445-454
The Riemann Problem of a System for a Phase Transition Problem....Pages 455-464
Computation of High-speed Flow Using Non-Oscillatory Scheme....Pages 465-474
Nonlinear MHD Processes in the Sun’s Atmosphere....Pages 475-483
The Relaxation Approximation to Hyperbolic System of Conservation Laws....Pages 485-491
A Front Tracking Method for Conservation Laws with Boundary Conditions....Pages 493-502