18 citations · 19 across the 12 of their papers we have counts for
12 papers
How opinions shape epidemics: a graphon-based kinetic approach
Abu Safyan Ali, Elisa Calzola, Giacomo Dimarco +2
Understanding the mutual influence between social behavior and physical health is crucial for designing effective epidemic mitigation strategies. Individual interactions drive the…
Discovery of interaction and diffusion kernels in particle-to-mean-field multi-agent systems
Giacomo Albi, Alessandro Alla, Elisa Calzola
We propose a data-driven framework to learn interaction kernels in stochastic multi-agent systems. Our approach aims at identifying the functional form of nonlocal interaction and…
Control of kinetic opinion dynamics in popularity-adaptive social networks
Giacomo Albi, Elisa Calzola, Matteo Piu
This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend…
A second-order numerical scheme for optimal control of non-linear Fokker-Planck equations and applications in social dynamics
Giacomo Albi, Elisa Calzola
In this work, we present a second-order numerical scheme to address the solution of optimal control problems constrained by the evolution of nonlinear Fokker-Planck equations arisi…
Impact of opinion formation phenomena in epidemic dynamics: kinetic modeling on networks
Giacomo Albi, Elisa Calzola, Giacomo Dimarco +1
After the recent COVID-19 outbreaks, it became increasingly evident that individuals' thoughts and beliefs can have a strong impact on disease transmission. It becomes therefore im…
A PINN approach for the online identification and control of unknown PDEs
Alessandro Alla, Giulia Bertaglia, Elisa Calzola
Physics-Informed Neural Networks (PINNs) have revolutionized solving differential equations by integrating physical laws into neural networks training. This paper explores PINNs fo…
Emergence of condensation patterns in kinetic equations for opinion dynamics
Elisa Calzola, Giacomo Dimarco, Giuseppe Toscani +1
In this work, we define a class of models to understand the impact of population size on opinion formation dynamics, a phenomenon usually related to group conformity. To this end,…
A data-driven kinetic model for opinion dynamics with social network contacts
Giacomo Albi, Elisa Calzola, Giacomo Dimarco
Opinion dynamics is an important and very active area of research that delves into the complex processes through which individuals form and modify their opinions within a social co…
Exponential integrators for mean-field selective optimal control problems
Giacomo Albi, Marco Caliari, Elisa Calzola +1
In this paper we consider mean-field optimal control problems with selective action of the control, where the constraint is a continuity equation involving a non-local term and dif…
A high-order scheme for mean field games
Elisa Calzola, Elisabetta Carlini, Francisco J. Silva
In this paper we propose a high-order numerical scheme for time-dependent mean field games systems. The scheme, which is built by combining Lagrange-Galerkin and semi-Lagrangian te…
A semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations with oblique boundary conditions
Elisa Calzola, Elisabetta Carlini, Xavier Dupuis +1
We investigate in this work a fully-discrete semi-Lagrangian approximation of second order possibly degenerate Hamilton-Jacobi-Bellman (HJB) equations on a bounded domain with obli…
Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems
Luca Bonaventura, Elisabetta Carlini, Elisa Calzola +1
We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which employs a semi-Lagrangian approach to…