230 citations · 1.9k across the 63 of their papers we have counts for
5 papers · 1 filter
Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties
Andrea Medaglia, Andrea Tosin, Mattia Zanella
In this paper, we focus on the construction of a hybrid scheme for the approximation of non-Maxwellian kinetic models with uncertainties. In the context of multiagent systems, the…
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…
Analysis of a heterogeneous kinetic model for traffic flow
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
In this work we extend a recent kinetic traffic model to the case of more than one class of vehicles, each of which is characterized by few different microscopic features. We consi…
Kinetic models for traffic flow resulting in a reduced space of microscopic velocities
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
The purpose of this paper is to study the properties of kinetic models for traffic flow described by a Boltzmann-type approach and based on a continuous space of microscopic veloci…
Fundamental diagrams in traffic flow: the case of heterogeneous kinetic models
Gabriella Puppo, Matteo Semplice, Andrea Tosin +1
Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundame…