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The Follow-the-Leader scheme with non-monotone velocity

Di Francesco, Marco
arXiv (All) · Papers
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35l6565m12analysis-of-pdes
This paper addresses the approximation of entropy solutions to a one-dimensional scalar conservation law via the so-called Follow-the-Leader particle scheme in case the velocity map is \emph{non monotone}. The result is based on a discrete maximum principle, on $BV$ estimates of the approximated den
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