Warnecke G. (Ed.) Analysis and Numerics for Conservation Laws

Springer-Verlag, 2005. — 541 p. — ISBN: 354024834X.The priority research program Analysis and Numerics for Conservation Laws was funded by the German research foundation Deutsche Forschungsgemeinschaft (DFG) for a period of six years starting in 1997. The diversity of topics, represented in the present book, was one of the strengths of the research program. Research groups of very different background, most of which were interacting for the first time, contributed to this interdisciplinary work.
The present book contains contributions from interlinked participating projects ranging from the analysis of hyperbolic systems of first order partial differential equations, the development of improved numerical methods for these equations to applications in astrophysics and engineering.Wave Processes at Interfaces
Numerics for Magnetoplasmadynamic Propulsion
Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers
High-resolution Simulation of Detonations with Detailed Chemistry
Numerical Linear Stability Analysis for Compressible Fluids
Simulation of Solar Radiative Magneto-Convection
Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions
Radiation Magnetohydrodynamics: Analysis for Model Problems and Efficient 3d-Simulations for the Full System
Kinetic Schemes for Selected Initial and Boundary Value Problems
A Local Level-Set Method under Involvement of Topological Aspects
Hyperbolic Systems and Transport Equations in Mathematical Biology
Travelling Waves in Systems of Hyperbolic Balance Laws
The Role of the Jacobian in the Adaptive Discontinuous Galerkin Method for the Compressible Euler Equations
The Multi-Scale Dust Formation in Substellar Atmospheres
Meshless Methods for Conservation Laws
Simulations of Turbulent Thermonuclear Burning in Type Ia Supernovae
Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD
Flexible Flame Structure Modelling in a Flame Front Tracking Scheme
Riemann-Solver Free Schemes
Relaxation Dynamics, Scaling Limits and Convergence of Relaxation Schemes
Multidimensional Adaptive Staggered Grids
On Hyperbolic Relaxation Problems