An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School on Theory and Numerics ... in Computational Science and Engineering) - Softcover

Kröner, Dietmar

Softcover

ISBN 10: 3540650814 ISBN 13: 9783540650812

Verlag: Springer, 1998

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Reseña del editor

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.

Reseña del editor

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1998
• ISBN 10: 3540650814
• ISBN 13: 9783540650812
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 300