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A difference scheme for a stiff system of conservation laws

Published online by Cambridge University Press:  14 November 2011

Wen-An Yong
Wen-An Yong
Affiliation:
Institut für Angewandte Mathematik, Universität Heidelberg Im Neuenheimer Feld 294, 69120 Heidelberg, Germany
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Extract

A stiff system of conservation laws is analysed using a difference method. The existence of entropy-satisfying BV-solutions to the initial value problems is established. Furthermore, we show that the solutions converge to the solutions of the corresponding equilibrium system as the relaxation time tends to zero.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 6 , 1998 , pp. 1403 - 1414
Copyright
Copyright © Royal Society of Edinburgh 1998

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