206 citations · 1.7k across the 107 of their papers we have counts for
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Recent advances in opinion modeling: control and social influence
Giacomo Albi, Lorenzo Pareschi, Giuseppe Toscani +1
We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by…
Kinetic models of collective decision-making in the presence of equality bias
Lorenzo Pareschi, Pierluigi Vellucci, Mattia Zanella
We introduce and discuss kinetic models describing the influence of the competence in the evolution of decisions in a multi-agent system. The original exchange mechanism, which is…
Opinion dynamics over complex networks: kinetic modeling and numerical methods
Giacomo Albi, Lorenzo Pareschi, Mattia Zanella
In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is…
Selective model-predictive control for flocking systems
Giacomo Albi, Lorenzo Pareschi
In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of a controller, acting in order to enh…
Implicit-explicit linear multistep methods for stiff kinetic equations
Giacomo Dimarco, Lorenzo Pareschi
We consider the development of high order asymptotic-preserving linear multistep methods for kinetic equations and related problems. The methods are first developed for BGK-like ki…
Residual equilibrium schemes for time dependent partial differential equations
Lorenzo Pareschi, Thomas Rey
Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibriu…