An Introduction to Recent Developments in Theory and Numerics for Conservation Laws

Dietmar Kröner

ISBN 10: 3540650814 / ISBN 13: 9783540650812

Verlag: Springer Berlin Heidelberg Dez 1998, 1998

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -The importance of hyperbolic conservation laws for scientific and industrial applications has led to a growing amount of research activity in this field. A variety of physical phenomena in fluid mechanics, astrophysics, groundwa ter flow, meteorology, reactive flow and several other areas can be effectively modeled by systems of conservation laws. In order to focus recent trends in theory and numerics in this research area and to stimulate further research in this field, we decided to organize the 'International School on Theory and Numerics for Conservation Laws', which took place in FreiburgjLittenweiler, Germany, from 20 to 24 October 1997. The school was sponsored by the DFG-Graduiertenkolleg 'Nichtlineare Dif ferentialgleichungen, Modellierung, Theorie, Numerik, Visualisierung' at the University of Freiburg. It was attended by about 60 young international re searchers. This volume contains the contributions of the five main lecturers of the school. Each article covers five hours of lectures on a specific new research area in the field of theory and numerics for conservation laws. Reviews of recent de velopments are given, accompanied by new research results of the authors. The topics include a kinetic approach to conservation laws by Benoit Perthame, which can be used for the construction of approximate Riemann solvers for the full system of gas dynamics. Several ideas related to the stability and entropy analysis are discussed. 300 pp. Englisch. Bestandsnummer des Verkäufers 9783540650812

Bibliografische Details

Titel: An Introduction to Recent Developments in ...

Verlag: Springer Berlin Heidelberg Dez 1998

Erscheinungsdatum: 1998

Einband: Taschenbuch

Zustand: Neu

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Inhaltsangabe:

The importance of hyperbolic conservation laws for scientific and industrial applications has led to a growing amount of research activity in this field. A variety of physical phenomena in fluid mechanics, astrophysics, groundwa­ ter flow, meteorology, reactive flow and several other areas can be effectively modeled by systems of conservation laws. In order to focus recent trends in theory and numerics in this research area and to stimulate further research in this field, we decided to organize the "International School on Theory and Numerics for Conservation Laws", which took place in FreiburgjLittenweiler, Germany, from 20 to 24 October 1997. The school was sponsored by the DFG-Graduiertenkolleg "Nichtlineare Dif­ ferentialgleichungen, Modellierung, Theorie, Numerik, Visualisierung" at the University of Freiburg. It was attended by about 60 young international re­ searchers. This volume contains the contributions of the five main lecturers of the school. Each article covers five hours of lectures on a specific new research area in the field of theory and numerics for conservation laws. Reviews of recent de­ velopments are given, accompanied by new research results of the authors. The topics include a kinetic approach to conservation laws by Benoit Perthame, which can be used for the construction of approximate Riemann solvers for the full system of gas dynamics. Several ideas related to the stability and entropy analysis are discussed.