Title | Hyperbolic Problems: Theory, Numerics, Applications [electronic resource] : Eighth International Conference in Magdeburg, February/March 2000 Volume II / edited by Heinrich Freistรผhler, Gerald Warnecke |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8372-6 |
Descript | XII, 472 p. online resource |
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 Problemโฆ -- 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 โ the Physics and Mathematics of the Hyperbolic Equations of Thermodynamics -- Enforcing Gaussโ 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