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. 
Florent Berthelin (COFFEE, UCA), Thierry Goudon (COFFEE, UCA), Bastien   Polizzi (IMFT), Magali Ribot (MAPMO)
math.NA math.AP nlin.AO