Volume 37, Number 1, January/February 2003
|Page(s)||1 - 39|
|Published online||15 March 2003|
Green's function pointwise estimates for the modified Lax–Friedrichs scheme
Unité de Mathématiques Pures et
Appliquées, CNRS UMR # 5669, ENS Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France.
The aim of this paper is to find estimates of the Green's function of stationary discrete shock profiles and discrete boundary layers of the modified Lax–Friedrichs numerical scheme, by using techniques developed by Zumbrun and Howard [CITE] in the continuous viscous setting.
Mathematics Subject Classification: 35L65
Key words: Linear stability / discrete shock profiles / Laplace transform.
© EDP Sciences, SMAI, 2003
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