Hyperbolic Problems: Theory, Numerics, Applications

Discrete Kinetic Schemes for Systems of Conservation Laws.- A Mixed Finite Volume/Finite Element Method for 2-dimensional Compressible Navier-Stokes Equations on Unstructured Grids.- Large Time Stability of Propagating Phase Boundaries.- Convergence of Meshless Methods for Conservation Laws Applications to Euler equations.- Multi-dimensional Stability of Propagating Phase Boundaries.- Travelling Wave Solutions of a Convective Diffusive System with First and Second Order Terms in Nonconservation Form.- High Order Central Schemes for Hyperbolic Systems of Conservation Laws.- A Simple Algorithm to Improve the Accuracy of TVD-MUSCL Schemes.- Hyperbolic Initial Boundary Value Problems on the Stability of Strong Discontinuities in Continuum Mechanics.- On Hyperbolic Integro-differential von Kármán Equations for Viscoelastic Plates.- Courant’s Problems and Their Extensions.- Old and New Hyperbolic Approaches in General Relativity.- Differentiability with Respect to Initial Data for a Scalar Conservation Law.- Evolution Behavior of Transverse Shocks in a Nonlinear Elastic Layer.- A Naive Riemann Solver to Compute a Non-conservative Hyperbolic System.- Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws.- Non-symmetric Conical Supersonic Flow.- On the Preconditioning of Finite Volume Schemes.- A Priori Error Estimates for Nonlinear Scalar Conservation Laws.- Traveling Waves for Combustion in Porous Media.- Evolution of a Cusp-like Singularity in a Vortex Patch.- A Bow Shock Flow Containing (Almost) All Types of (‘Exotic’) MHD Discontinuities.- Application of Kinetic Schemes to All Types of Meshes.- On the Regularity of Solutions of the Compressible Isentropic Navier-Stokes Equations.- Entropy Inequality for High Order Discontinuous Galerkin Approximation of Euler Equations.- Asymptotic Equations for Weakly Nonlinear Elastic Waves in a Cubic Crystal.- Computing Strong Shocks in Ultrarelativistic Flows: A Robust Alternative.- A Free Boundary Problem for an Elastic-Plastic Flow Model.- Numerical Errors Downstream of Slightly Viscous Shocks.- Multiphase Computations in Geometrical Optics.- Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes.- On the Numerical Solution of Multi-dimensional Non-linear Systems of Conservation Laws.- 3D Radiative Transfer Under Conditions of Non-local Thermodynamic Equilibrium: A Contribution to the Numerical Solution.- Flow Simulations on Cartesian Grids Involving Complex Moving Geometries.- Comparisons of Cell Centered and Cell Vertex Finite Volume Methods for Internal Flow Problems.- Numerical Methods for Viscous Profiles of Non-classical Shock Waves.- On the Asymptotic Behavior of Solutions of Certain Multi-D Viscous Systems of Conservation Laws.- Stability of General Shock profiles — a Novel Weight Function for the Non-convex Case.- Global Correctness of Cauchy Problem for Nonlinear Conservation Laws Systems and one Example for the Gas Dynamics.- Asymptotics for Hyperbolic Equations with a Skew-symmetric Perturbation.- Decomposition of the Elastic-plastic Wave Equation into Advection Equations.- Adaptive Finite Volume Schemes for Conservation Laws Based on Local Multiresolution Techniques.- Existence of Global Smooth Solutions to Euler Equations for an Isentropic Perfect Gas.- Adaptive Mesh Refinement for Singular Structures in Incompressible Hydro- and Magnetohydrodynamic Flows.- Adaptive Sparse Grids for Hyperbolic Conservation Laws.- Numerical Results for the Flux Identification in a System of Conservation Laws.- Adaptive Mesh Coarsening in CFD.- Adaptive Grid Methods for Reactive Flows.- The Riemann Problem of a System for a Phase Transition Problem.- Computation of High-speed Flow Using Non-Oscillatory Scheme.- Nonlinear MHD Processes in the Sun’s Atmosphere.- The Relaxation Approximation to Hyperbolic System of Conservation Laws.- A Front Tracking Method for Conservation Laws with Boundary Conditions.