3 papers
math.NA2026
A Hyperbolic Transport Model for Passenger Flow on Tram Networks
Thomas Schillinger
We introduce a modeling framework for an urban tram network based on a hyperbolic partial differential equation describing the transport of passengers along the network, coupled wi…
physics.soc-ph2025
Probabilistic modeling of car traffic accidents
Simone Göttlich, Thomas Schillinger, Andrea Tosin
We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon.…
math.NA2024
Data-inspired modeling of accidents in traffic flow networks using the Hawkes process
Simone Göttlich, Thomas Schillinger
We consider hyperbolic partial differential equations (PDEs) for a dynamic description of the traffic behavior in road networks. These equations are coupled to a Hawkes process tha…