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boundary layers stability.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Numerical boundary layers for hyperbolic systems in 1-D
Claire Chainais-Hillairet, Emmanuel Grenier
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 35 / Issue 1 / January 2001

Published online by Cambridge University Press:

15 April 2002, pp. 91-106

Print publication:

January 2001
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The aim of this paper is to investigate the stabilityof boundary layers which appear in numerical solutionsof hyperbolic systems of conservation laws in one spacedimension on regular meshes. We prove stability under a sizecondition for Lax Friedrichs type schemes and inconditionnalstability in the scalar case. Examples of unstable boundary layersare also given.