82 citations · 753 across the 71 of their papers we have counts for
5 papers · 2 filters
Particle based gPC methods for mean-field models of swarming with uncertainty
J. A. Carrillo, L. Pareschi, M. Zanella
In this work we focus on the construction of numerical schemes for the approximation of stochastic mean--field equations which preserve the nonnegativity of the solution. The metho…
Hybrid stochastic kinetic description of two-dimensional traffic dynamics
Michael Herty, Andrea Tosin, Giuseppe Visconti +1
In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane. A…
Uncertainty quantification for kinetic models in socio-economic and life sciences
Giacomo Dimarco, Lorenzo Pareschi, Mattia Zanella
Kinetic equations play a major rule in modeling large systems of interacting particles. Recently the legacy of classical kinetic theory found novel applications in socio-economic a…
Structure preserving schemes for mean-field equations of collective behavior
Lorenzo Pareschi, Mattia Zanella
In this paper we consider the development of numerical schemes for mean-field equations describing the collective behavior of a large group of interacting agents. The schemes are b…
Structure preserving schemes for nonlinear Fokker-Planck equations and applications
Lorenzo Pareschi, Mattia Zanella
In this paper we focus on the construction of numerical schemes for nonlinear Fokker-Planck equations that preserve the structural properties, like non negativity of the solution,…