**Research group members**

Prof. Giacomo Dimarco

Dr. Giulia Bertaglia (RTD-a)

Dr. Elisa Iacomini (RTD-a)

Dr. Federica Ferrarese (PDRA, University of Ferrara)

Dr. Giacomo Borghi (PDRA, Heriot Watt University)

Jonathan Franceschi (PhD student joint with U. Pavia)

Abu Safyan Ali (PhD student)

Frederic Blondeel (DataHyking PhD student joint with U. Leuven)

Theresa Koefler (DataHyking PhD student joint with U. Kaiserlautern)

Hyesung Im (MAC-MIGs PhD student Maxwell Institute and Heriot Watt University)

**Former members**

Prof. Giacomo Albi

Prof. Mattia Zanella

Prof. Walter Boscheri

**Main research interests**

*Numerical methods for kinetic equations.*Gas and plasma physics; Fast spectral methods; Direct simulation Monte Carlo methods; Hybrid methods; Asymptotic-preserving schemes; Structure-preserving methods.*Implicit-Explicit (IMEX) methods for PDEs.*Hyperbolic systems with source terms; Multiscale PDEs; Low Mach number limit; Fluid dynamic limit; Diffusion limit.*Numerical methods for conservation laws and fluid dynamics.*Compressible and incompressible flows; Relaxation schemes; Central schemes; Semi-Lagrangian methods; Particle methods; Flows on networks.*Multi-agent and kinetic models in the social sciences.*Collective behaviour; Opinion formation; Learning processes; Wealth distributions; Behavioural Finance; Epidemiology.*Uncertainty quantification for kinetic and hyperbolic equations.*Multi-fidelity methods; Stochastic Galerkin methods; Multi-level Monte Carlo methods; Robust control.*Stochastic particle optimization and learning.*Particle swarm optimization; Consensus based optimization; Machine Learning; Physics Informed Neural Networks.

TreeMap Chart according to Web of Science

My recent works can be found in the publication page. Slides and videos of some of my recent lectures are also available in the lecture page. Here below you find some simulations taken from some recent works.

Convection-diffusion of a tracer: high order semi-Lagrangian IMEX schemes

Stochastic Particle Optimization: Constrained CBO on torus

Collective Behavior: From mill to flock

Kinetic Models in Epidemiology: COVID-19 spread in Lombardy

IMEX Methods: High order semi-Lagrangian DG schemes