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 HyperbolicConservation 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.