93 citations · 118 across the 18 of their papers we have counts for
3 papers · 2 filters
A deterministic particle approximation for non-linear conservation laws
Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini +1
We review our analytical and numerical results obtained on the microscopic Follow-The-Leader (FTL) many particle approximation of one-dimensional conservation laws. More precisely,…
Follow-the-leader approximations of macroscopic models for vehicular and pedestrian flows
Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini +1
We review recent results and present new ones on a deterministic follow-the-leader particle approximation of first and second order models for traffic flow and pedestrian movements…
Entropy solutions for a traffic model with phase transitions
Mohamed Benyahia, Massimiliano Daniele Rosini
In this paper, we consider the two phases macroscopic traffic model introduced in [P. Goatin, The Aw-Rascle vehicular traffic flow with phase transitions, Mathematical and Computer…