no. 1
Numerical boundary layers for hyperbolic systems in 1-D
ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 1, pp. 91-106.

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.

Classification : 65M, 35L
Mots clés : boundary layers stability 
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     title = {Numerical boundary layers for hyperbolic systems in {1-D}},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {91--106},
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     year = {2001},
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     zbl = {0980.65093},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2001__35_1_91_0/}
}
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Chainais-Hillairet, Claire; Grenier, Emmanuel. Numerical boundary layers for hyperbolic systems in 1-D. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 1, pp. 91-106. http://www.numdam.org/item/M2AN_2001__35_1_91_0/

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