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20132026
most citedRigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit

93 citations · 104 across the 12 of their papers we have counts for

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math.NA2016★ 1 cited

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,…

math.NA2016

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…