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 [27] in the continuous viscous setting.
Keywords: linear stability, discrete shock profiles, Laplace transform
@article{M2AN_2003__37_1_1_0,
author = {Godillon, Pauline},
title = {Green's function pointwise estimates for the modified {Lax-Friedrichs} scheme},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {1--39},
year = {2003},
publisher = {EDP Sciences},
volume = {37},
number = {1},
doi = {10.1051/m2an:2003022},
zbl = {1038.35036},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an:2003022/}
}
TY - JOUR AU - Godillon, Pauline TI - Green's function pointwise estimates for the modified Lax-Friedrichs scheme JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 1 EP - 39 VL - 37 IS - 1 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/m2an:2003022/ DO - 10.1051/m2an:2003022 LA - en ID - M2AN_2003__37_1_1_0 ER -
%0 Journal Article %A Godillon, Pauline %T Green's function pointwise estimates for the modified Lax-Friedrichs scheme %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 1-39 %V 37 %N 1 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/m2an:2003022/ %R 10.1051/m2an:2003022 %G en %F M2AN_2003__37_1_1_0
Godillon, Pauline. Green's function pointwise estimates for the modified Lax-Friedrichs scheme. ESAIM: Modélisation mathématique et analyse numérique, Tome 37 (2003) no. 1, pp. 1-39. doi: 10.1051/m2an:2003022
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