Hyperbolic Problems: Theory, Numerics, Applications

Volume.- Convergence of a Staggered Lax-Friedrichs Scheme on Unstructured 2D-grids.- Viscous and Relaxation Approximations to Heteroclinic Traveling Waves of Conservation Laws with Source Terms.- Adaptive FE Methods for Conservation Equations.- The Entropy Rate Admissibility Criterion for a Phase Transition Problem.- Dust Formation in Turbulent Media.- Existence of a Weak Solution for a Quasilinear Wave Equation with Boundary Condition.- Asymptotic Behavior of Entropy Weak Solution for Hyperbolic System with Damping.- On the Existence of Semidiscrete Shock Profiles.- On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations.- Composite Schemes on Triangular Meshes.- Asymptotic-Preserving (AP) Schemes for Multiscale Kinetic Equations:A Unified Approach.- A Kinetic Approach to Hyperbolic Systems and the Role of Higher Order Entropies.- Stationary Waves for the Discrete Boltzmann Equations in the Half Space.- Divergence Corrections in the Numerical Simulation of Electromagnetic Wave Propagation.- Numerical Investigation of Examples of Unstable Viscous Shock Waves...- Proving Existence of Nonlinear Differential Equations Using Numerical Approximations.- Asymptotic Behavior of Hyperbolic Boundary Value Problems with Relaxation Term.- A Wave Propagation Algorithm for the Solution of PDEs on the Surface of a Sphere.- On the L1Stability of Multi-shock Solutions to the Riemann Problem….- Stable, Oscillatory Viscous Profiles of Weak Shocks in Systems of Stiff Balance Laws.- Shallow Water Conservation Laws on a Sphere.- Riemann Solutions for a Model of Combustion in Two-Phase Flow in Porous Media.- Theory of Three-Phase Flow Applied to Water-Alternating-Gas Enhanced Oil Recovery.- Preconditioned Krylov Subspace Methods for Hyperbolic Conservation Laws.- The Riemann Problem for Nonlinear Elasticity.- ADER: Arbitrary-Order Non-Oscillatory Advection Schemes.- Extended Thermodynamics — the Physics and Mathematics of the Hyperbolic Equations of Thermodynamics.- Enforcing Gauss’ Law in Computational Electromagnetics within a Finite-volume Framework.- Discrete BGK Models for Dynamic Phase Transitions in One-Dimension..- An Adaptive Staggered Grid Scheme for Conservation Laws.- Solutions to Scalar Conservation Laws Where the Flux is Discontinuous in Space and Time.- Overcompressive Shocks and Compound Shocks in 2D and 3D Magnetohydrodynamic Flows.- Aspects of a Numerical Procedure for Two-Phase Flow Models.- On a Nonexistence of Global Smooth Solutions to Compressible Euler Equations.- Central Schemes for Balance Laws.- Estimates for Pseudo-differential and Hyperbolic Differential Equations via Fourier Integrals with Complex Phases.- Existence of Travelling Fronts for Nonlinear Transport Equations.- Nonlinear Wave Propagation in Close to Hyperbolic Systems.- Shock-Wave Cosmology.- On a Second Order Residual Estimator for Nonlinear Conservation Laws..- Error Estimates of Approximate Solutions for Nonlinear Scalar Conservation Laws.- Solution of the Boltzmann Equation in Stiff Regime.- Characteristics and Riemann Invariants of the Kinetic Integrodifferential Equations of Bubbly Flow.- A LSQ-SPH Approach for Solving Compressible Viscous Flows.- On Stability of Fast Shock Waves in Classical and Relativistic MHD.- Remarks on Hyperbolic Relaxation Systems.- Wave Interactions in Nonlinear Strings.- List of Participants.- Author Index.