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

Front Matter....Pages i-xii
Convergence of a Staggered Lax-Friedrichs Scheme on Unstructured 2D-grids....Pages 475-483
Viscous and Relaxation Approximations to Heteroclinic Traveling Waves of Conservation Laws with Source Terms....Pages 485-493
Adaptive Fe Methods for Conservation Equations....Pages 495-503
The Entropy Rate Admissibility Criterion for a Phase Transition Problem....Pages 505-513
Dust Formation in Turbulent Media....Pages 515-524
Existence of a Weak Solution for a Quasilinear Wave Equation with Boundary Condition....Pages 525-534
Asymptotic Behavior of Entropy Weak Solution for Hyperbolic System with Damping....Pages 535-542
On the Existence of Semidiscrete Shock Profiles....Pages 543-551
On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations....Pages 553-562
Composite Schemes on Triangular Meshes....Pages 563-572
Asymptotic-Preserving (Ap) Schemes for Multiscale Kinetic Equations: a Unified Approach....Pages 573-582
A Kinetic Approach to Hyperbolic Systems And the Role of Higher Order Entropies....Pages 583-592
Stationary Waves for the Discrete Boltzmann Equations in the Half Space....Pages 593-602
Divergence Corrections in the Numerical Sim-ulation of Electromagnetic Wave Propagation....Pages 603-612
Numerical Investigation of Examples of Unstable Viscous Shock Waves....Pages 613-621
Proving Existence of Nonlinear Differential Equations Using Numerical Approximations....Pages 623-631
Asymptotic Behavior of Hyperbolic Boundary Value Problems with Relaxation Term....Pages 633-642
A Wave Propagation Algorithm for the Solution of PDEs on the Surface of a Sphere....Pages 643-652
On the L 1 Stability of Multi-shock Solutions to the Riemann Problem....Pages 653-661
Stable, Oscillatory Viscous Profiles of Weak Shocks in Systems of Stiff Balance Laws....Pages 663-672
Shallow Water Conservation Laws on a Sphere....Pages 673-682
Riemann Solutions for a Model of Combustion in Two-Phase Flow in Porous Media....Pages 683-692
Theory of Three-Phase Flow Applied to Water-Alternating-Gas Enhanced Oil Recovery....Pages 693-702
Preconditioned krylov subspace methods for Hyperbolic conservation laws....Pages 703-712
The Riemann Problem for Nonlinear Elasticity....Pages 713-722
ADER: Arbitrary-Order Non-Oscillatory Advection Schemes....Pages 723-732
Extended thermodynamics - the physics and Mathematics of the hyperbolic equations of Thermodynamics....Pages 733-754
Enforcing Gauss’ Law in Computational Elec-Tromagnetics Within a Finite-Volume Framework....Pages 755-764
Discrete BGK Models for Dynamic Phase Transitions in One-Dimension....Pages 765-774
An Adaptive Staggered Grid Scheme for Conservation Laws....Pages 775-784
Solutions to Scalar Conservation Laws Where the Flux is Discontinuous in Space and Time....Pages 785-790
Overcompressive Shocks and Compound Shocks in 2D and 3D Magnetohydrodynamic Flows....Pages 791-800
Aspects of a Numerical Procedure for Two-Phase Flow Models....Pages 801-810
On a Nonexistence of Global Smooth Solutions to Compressible Euler Equations....Pages 811-820
Central Schemes for Balance Laws....Pages 821-829
Estimates for Pseudo-differential and Hyperbolic Differential Equations via Fourier Integrals with Complex Phases....Pages 831-839
Existence of travelling fronts for Nonlinear transport equations....Pages 841-850
Nonlinear Wave Propagation in Close to Hyperbolic Systems....Pages 851-860
Shock-Wave C osmology....Pages 861-862
On a Second Order Residual Estimator for Nonlinear Conservation Laws....Pages 863-871
Error Estimates of Approximate Solutions for Nonlinear Scalar Conservation Laws....Pages 873-882
Solution of the Boltzmann Equation in Stiff Regime....Pages 883-890
Characteristics and Riemann Invariants of the Kinetic Integrodifferential Equations of Bubbly Flow....Pages 891-900
A LSQ-SPH Approach for Solving Compressible Viscous Flows....Pages 901-910
On Stability of Fast Shock Waves in Classical and Relativistic MHD....Pages 911-919
Remarks on Hyperbolic Relaxation Systems....Pages 921-929
Wave Interactions in Nonlinear Strings....Pages 931-939
Back Matter....Pages 941-946