Displaying similar documents to “Smoothness of solutions of conjugate boundary-value problems on a measure chain.”

Numerical boundary layers for hyperbolic systems in 1-D

Claire Chainais-Hillairet, Emmanuel Grenier (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

The aim of this paper is to investigate the stability of boundary layers which appear in numerical solutions of hyperbolic systems of conservation laws in one space dimension on regular meshes. We prove stability under a size condition for Lax Friedrichs type schemes and inconditionnal stability in the scalar case. Examples of unstable boundary layers are also given.