@Article{JPDE-6-39,
author = {Ying Lungan, Zhou Tie},
title = {Long-time Asymptotic Behavior of Lax-Friedrichs Scheme},
journal = {Journal of Partial Differential Equations},
year = {1993},
volume = {6},
number = {1},
pages = {39--61},
abstract = { In this paper we investigate the asymptotic stability of the discrete shocks of the Lax-Friedrichs scheme for hyperholic systems of conservation laws. For single equations, we show that the discrete shocks of the Lax-Friedrichs scheme are asymptotically stable in the sense of I&sup3 and I&sup1. For the systems of conservation laws, if the summation of initial perturbations equals to zero, we show the l&sup2 stability and l&sup1 boundedness.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5699.html}
}