18 citations · 43 across the 16 of their papers we have counts for
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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…
Deterministic particle approximation of scalar conservation laws
Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini
In this paper we prove that the unique entropy solution to a scalar nonlinear conservation law with strictly monotone velocity and nonnegative initial condition can be rigorously o…
Deterministic particle approximation of the Hughes model in one space dimension
M. Di Francesco, S. Fagioli, M. D. Rosini +1
In this paper we present a new approach to the solution to a generalized version of Hughes' models for pedestrian movements based on a follow-the-leader many particle approximation…