62 citations · 155 across the 41 of their papers we have counts for
5 papers · 1 filter
A Mean Field Games approach for multi-lane traffic management
Adriano Festa, Simone Göttlich
In this work we discuss an Mean Field Games approach to traffic management on multi-lane roads. Such approach is particularly indicated to model self driven vehicles with perfect i…
The Mean Field Kinetic Equation for Interacting Particle Systems with Non-Lipschitz Force
Qitao Yin, Li Chen, Simone Göttlich
In this paper, we prove the global existence of the weak solution to the mean field kinetic equation derived from the -particle Newtonian system. For initial…
Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions
Oliver Kolb, Guillaume Costeseque, Paola Goatin +1
This article deals with macroscopic traffic flow models on a road network. More precisely, we consider coupling conditions at junctions for the Aw-Rascle-Zhang second order model c…
The Euler scheme for stochastic differential equations with discontinuous drift coefficient: A numerical study of the convergence rate
S. Göttlich, K. Lux, A. Neuenkirch
The Euler scheme is one of the standard schemes to obtain numerical approximations of stochastic differential equations (SDEs). Its convergence properties are well-known in the cas…
A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches
Simone Göttlich, Stephan Knapp, Peter Schillen
We investigate a stochastic model hierarchy for pedestrian flow. Starting from a microscopic social force model, where the pedestrians switch randomly between the two states stop-o…