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math.DS2021
Macroscopic and multi-scale models for multi-class vehicular dynamics with uneven space occupancy: a case study
Maya Briani, Emiliano Cristiani, Paolo Ranut
In this paper we propose two models describing the dynamics of heavy and light vehicles on a road network, taking into account the interactions between the two classes. The models…
math.DS2018
Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road
Gabriella Bretti, Emiliano Cristiani, Corrado Lattanzio +2
In this paper we propose two numerical algorithms to solve a coupled PDE-ODE system which models a slow vehicle (bottleneck) moving on a road together with other cars. The resultin…