A probabilistic particle approximation of the “Paveri-Fontana” kinetic model of traffic flow

@inproceedings{Moustapha2016APP,
  title={A probabilistic particle approximation of the “Paveri-Fontana” kinetic model of traffic flow},
  author={Jyda Mint Moustapha and Benjamin Jourdain and Dimitri Daucher},
  year={2016}
}
This paper is devoted to the Paveri-Fontana model and its computation. The master equation of this model has no analytic solution in nonequilibrium case. We develop a stochastic approach to approximate this evolution equation. First, we give a probabilistic interpretation of the equation as a nonlinear Fokker- Planck equation. Replacing the nonlinearity by interaction, we deduce how to approximate its solution thanks to an algorithm based on a fictitious jump simulation of the interacting… CONTINUE READING

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