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Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams

We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of congestion. These models are obtained through asymptotic arguments. Hence, we are interested in the simulation of approached models that contain stiff terms and large speeds of propagation. We design schemes intended to apply with relaxed stability conditions.

preprint2016arXivOpen access
Florent BerthelinThierry GoudonBastien PolizziMagali Ribot
math.APnlin.AOmath.NA
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Open access4 authors3 topics
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Florent BerthelinThierry GoudonBastien PolizziMagali Ribot

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