An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School on Theory and Numerics for Conservation Laws, Freiburg/Littenweiler, Octobe

ISBN-13: 9783540650812 / Angielski / Miękka / 1998 / 285 str.

Dietmar Kröner;Mario Ohlberger;Christian Rohde

Opis

The book concerns theoretical and numerical aspects of systems of conservation laws, which can be considered as a mathematical model for the flows of inviscid compressible fluids.
Five leading specialists in this area give an overview of the recent results, which include: kinetic methods, non-classical shock waves, viscosity and relaxation methods, a-posteriori error estimates, numerical schemes of higher order on unstructured grids in 3-D, preconditioning and symmetrization of the Euler and Navier-Stokes equations.
This book will prove to be very useful for scientists working in mathematics, computational fluid mechanics, aerodynamics and astrophysics, as well as for graduate students, who want to learn about new developments in this area.

Spis treści

An Introduction to Kinetic Schemes for Gas Dynamics.- An Introduction to Nonclassical Shocks of Systems of Conservation Laws.- Viscosity and Relaxation Approximation for Hyperbolic Systems of Conservation Laws.- A Posteriori Error Analysis and Adaptivity for Finite Element Approximations of Hyperbolic Problems.- Numerical Methods for Gasdynamic Systems on Unstructured Meshes.