Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Inhaltsverzeichnis

• On spurious difference solutions of discretizations of nonlinear hyperbolic differential equations.
• Symmetry analysis for waves in hole enlargement.
• Flux formulation using a fully 2D approximate Roe Riemann solver.
• Extended thermodynamics of charge carrier transport in semiconductors.
• Resonances of Schwarzschild black holes.
• Well-posedness of nonlinear hyperbolic problems and the dynamics of compressible fluids.
• Numerical viscosity, entropy condition and convergence of finite volume schemes for general multidimensional conservation laws.
• Existence of solutions for a class of hyperbolic systems of p conservation laws (p > 3).
• Direct solution of two-dimensional scalar conservation laws with Riemann initial data by the GSC method.
• A practical hyperbolic problem: the unsteady gas-liquid flow in a pipe.
• Stability of shock waves of 3×3 model MHD equations.
• Numerical simulation of high frequency scattering waves using exact controllability methods.
• Discrete Boltzmann equation with multiple collisions.
• The Burgers equation: explicit solutions of an initial boundary value problem.
• Hyperbolic problems in kinetic theory.
• Convergence of an explicit upwind Van Leer scheme on a triangular mesh for hyperbolic equations.
• Large time, weak solutions to reacting Euler equations.
• Classes of exact solutions for the discrete Boltzmann models.
• On a class of large time-step schemes for conservation laws.
• A numerical technique to compute Euler flows at impermeable boundaries based on physical considerations.
• Equivalence of referential and spatial field equations in continuum physics.
• Weak solutions in rate type dynamic viscoplasticity.
• Improved residual smoothing.
• Second order evolution equations and progressive waves.
• Parallel computer solution of the wave equation.
• Numerical solution of a moving boundary hyperbolic problem.
• A new multidimensional Euler-scheme.
• The influence of a source term, an example: chemically reacting hypersonic flow.
• Implicit schemes for P-system equations via Roe’s linearisation.
• A reduction approach for determining exact solutions to a hyperbolic nonautonomous model.
• Spectral element-FCT method for the compressible Euler equations.
• Multi-dimensional Riemann problems for linear hyperbolic systems: Part I.
• Multi-dimensional Riemann problems for linear hyperbolic systems: Part II.
• A theory of fluid mixing.
• Simple Godunov-Type schemes for Lagrangian gas dynamics.
• A modified GMRES method for steady state solutions of hyperbolic systems.
• Absorbing boundary conditions for Maxwell’s equations.
• Shock wave analysis for hyperbolic systems of conservation laws having spatial variability.
• A mathematical model of traffic flow on a network of roads.
• A generalized lagrangian method for solving the Euler equations.
• Parameter identification for a hyperbolic equation modelling chromatography.
• Weak discontinuity interaction with shocks and the reductive perturbation method with positive and negative nonlinearity.
• Improvements of upwind formulations on unstructured meshes.
• Regularity of a scalar Riemann problem in two space dimensions.
• Convergence to steady state of solutions of viscous conservation laws.
• A conservative front tracking scheme for 1D hyperbolic conservation laws.
• Multi-dimensional numerical schemes.
• A linear hyperbolic system with stiff source terms.
• Energy propagation in linear hyperbolic systems in the presence of dissipation.
• Nonlinear evolution of an obliquely propagating hydromagnetic wave.
• Two-dimensional boundary layer equations: high resolution capturing methods.
• Characteristic Galerkin methods for hyperbolic problems.
• The symmetric hyperbolic equations of extended thermodynamics.
• Non linear Klein-Gordon equation in Schwarzschild-like metrics.
• Galilean quasilinear systems of PDE’s and the substitution principle.
• Some asymptotic results concerning a hyperbolic mixed problem in viscoelasticity.
• Waves in media with periodic fine structure.
• On some exact solutions of hyperbolic Boussinesq equation with dissipation.
• Convergence of approximate solutions of the Cauchy problem for a 2×2 nonstrictly hyperbolic system of conservation laws.
• Universal principles for balance law systems.
• Implicit numerical methods for kinetic equations.
• Travelling wave solutions of convection-diffusion systems and nonconservative hyperbolic systems.
• The Riemann problem for two-dimensional gas dynamics.
• Flux-vector splitting for compressible low Mach number flow.
• Application of an E. N. O. scheme to simulate the ion etching process.
• Entropy dissipation in finite difference schemes.
• The resolution of compressible flow fields by adaptive finite volume methods.
• Hyperbolic conservation laws, finite difference schemes and error estimates.
• Numerical simulation of high speed reactive flows with adaptive mesh refinement.
• A model for pipeline three-phase flows.
• The compactness of front-tracking for chromatography electrophoresis and incompressible multiphase flow.
• Singular perturbations of first-order hyperbolic systems.
• List of Participants.
• Conference data.