Recent advances in opinion modeling: control and social influence
We survey some recent developments on the mathematical modeling of opinion dynamics.
After an introduction on opinion modeling through interacting multi-agent systems described …
After an introduction on opinion modeling through interacting multi-agent systems described …
Control with uncertain data of socially structured compartmental epidemic models
The adoption of containment measures to reduce the amplitude of the epidemic peak is a
key aspect in tackling the rapid spread of an epidemic. Classical compartmental models …
key aspect in tackling the rapid spread of an epidemic. Classical compartmental models …
Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …
phenomena through the use of kinetic equations. We initially consider models of interaction …
Particle based gPC methods for mean-field models of swarming with uncertainty
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 …
stochastic mean--field equations which preserve the nonnegativity of the solution. The …
An introduction to uncertainty quantification for kinetic equations and related problems
L Pareschi - Trails in kinetic theory: Foundational aspects and …, 2021 - Springer
We overview some recent results in the field of uncertainty quantification for kinetic
equations and related problems with random inputs. Uncertainties may be due to various …
equations and related problems with random inputs. Uncertainties may be due to various …
Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and …
In this paper we provide a general framework to study a general class of linear and
nonlinear kinetic equations with random uncertainties from the initial data or collision …
nonlinear kinetic equations with random uncertainties from the initial data or collision …
Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties
JA Carrillo, M Zanella - Vietnam Journal of Mathematics, 2019 - Springer
In this paper we introduce and discuss numerical schemes for the approximation of kinetic
equations for flocking behavior with phase transitions that incorporate uncertain quantities …
equations for flocking behavior with phase transitions that incorporate uncertain quantities …
Uniform regularity for linear kinetic equations with random input based on hypocoercivity
In this paper we study the effect of randomness in kinetic equations that preserve mass. Our
focus is in proving the analyticity of the solution with respect to the randomness, which …
focus is in proving the analyticity of the solution with respect to the randomness, which …
Micro-macro stochastic Galerkin methods for nonlinear Fokker–Planck equations with random inputs
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 …
interacting particles with a proved effectiveness in describing real world phenomena ranging …
Multi-scale control variate methods for uncertainty quantification in kinetic equations
G Dimarco, L Pareschi - Journal of Computational Physics, 2019 - Elsevier
Kinetic equations play a major rule in modeling large systems of interacting particles.
Uncertainties may be due to various reasons, like lack of knowledge on the microscopic …
Uncertainties may be due to various reasons, like lack of knowledge on the microscopic …