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We discuss numerical strategies to deal with PDE systems describing trafficflows, taking into account a density threshold, which restricts the vehiclesdensity in the situation of congestion. These models are obtained throughasymptotic arguments. Hence, we are interested in the simulation of approachedmodels that contain stiff terms and large speeds of propagation. We designschemes intended to apply with relaxed stability conditions.

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