82 citations · 753 across the 71 of their papers we have counts for
9 papers · 1 filter
Kinetic models for epidemic dynamics in the presence of opinion polarization
Mattia Zanella
Understanding the impact of collective social phenomena in epidemic dynamics is a crucial task to effectively contain the disease spread. In this work we build a mathematical descr…
A kinetic approach to consensus-based segmentation of biomedical images
Raffaella Fiamma Cabini, Anna Pichiecchio, Alessandro Lascialfari +2
In this work, we apply a kinetic version of a bounded confidence consensus model to biomedical segmentation problems. In the presented approach, time-dependent information on the m…
On the optimal control of kinetic epidemic models with uncertain social features
Jonathan Franceschi, Andrea Medaglia, Mattia Zanella
It is recognized that social heterogeneities in terms of the contact distribution have a strong influence on the spread of infectious diseases. Nevertheless, few data are available…
Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties
Andrea Medaglia, Lorenzo Pareschi, Mattia Zanella
The study of uncertainty propagation is of fundamental importance in plasma physics simulations. To this end, in the present work we propose a novel stochastic Galerkin (sG) partic…
Micro-macro stochastic Galerkin methods for nonlinear Fokker-Plank equations with random inputs
Giacomo Dimarco, Lorenzo Pareschi, Mattia Zanella
Nonlinear Fokker-Planck equations play a major role in modeling large systems of interacting particles with a proved effectiveness in describing real world phenomena ranging from c…
Fokker-Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results
Ferdinando Auricchio, Giuseppe Toscani, Mattia Zanella
In this paper we study a novel Fokker-Planck-type model that is designed to mimic manufacturing processes through the dynamics characterizing a large set of agents. In particular,…