82 citations · 753 across the 71 of their papers we have counts for
8 papers · 1 filter
Reduced variance random batch methods for nonlocal PDEs
Lorenzo Pareschi, Mattia Zanella
Random Batch Methods (RBM) for mean-field interacting particle systems enable the reduction of the quadratic computational cost associated with particle interactions to a near-line…
Uncertainty Quantification for the Homogeneous Landau-Fokker-Planck Equation via Deterministic Particle Galerkin methods
Rafael Bailo, José Antonio Carrillo, Andrea Medaglia +1
We design a deterministic particle method for the solution of the spatially homogeneous Landau equation with uncertainty. The deterministic particle approximation is based on the r…
Effects of heterogeneous opinion interactions in many-agent systems for epidemic dynamics
Sabrina Bonandin, Mattia Zanella
In this work we define a kinetic model for understanding the impact of heterogeneous opinion formation dynamics on epidemics. The considered many-agent system is characterized by n…
Kinetic compartmental models driven by opinion dynamics: Vaccine hesitancy and social influence
Andrea Bondesan, Giuseppe Toscani, Mattia Zanella
We propose a kinetic model for understanding the link between opinion formation phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine hesitancy can…
Impact of interaction forces in first order many-agent systems for swarm manufacturing
Ferdinando Auricchio, Massimo Carraturo, Giuseppe Toscani +1
We study the large time behavior of a system of interacting agents modeling the relaxation of a large swarm of robots, whose task is to uniformly cover a portion of the domain by c…
Particle simulation methods for the Landau-Fokker-Planck equation with uncertain data
Andrea Medaglia, Lorenzo Pareschi, Mattia Zanella
The design of particle simulation methods for collisional plasma physics has always represented a challenge due to the unbounded total collisional cross section, which prevents a n…
Trends to equilibrium for a nonlocal Fokker-Planck equation
Ferdinando Auricchio, Giuseppe Toscani, Mattia Zanella
We obtain equilibration rates for a one-dimensional nonlocal Fokker-Planck equation with time-dependent diffusion coefficient and drift, modeling the relaxation of a large swarm of…
On a kinetic description of Lotka-Volterra dynamics
Giuseppe Toscani, Mattia Zanella
Owing to the analogies between the problem of wealth redistribution with taxation in a multi-agent society, we introduce and discuss a kinetic model describing the statistical dist…