My research is devoted to develop microscopic, macroscopic
and multiscale models for describing and forecasting vehicular traffic
on single roads and road networks. From the mathematical point of view,
I use ODEs
and (systems of) hyperbolic PDEs
numerically approximated by the Godunov
have investigated, from the numerical side, the use of Wasserstein distance
to make a sensitivity analysis of traffic models.
I have also used Artificial Neural Networks
along with differential models to increase the accuracy of forecast methods.
Collaborations with private companies allowed me to work with some real
data sets coming from both mobile (GPS-based) and fixed sensors.
research is devoted to develop microscopic, macroscopic and multiscale
models for describing and forecasting pedestrian dynamics in built
I have a special interest in the problem of steering crowds preserving
at any time its natural behavior. This means that people are not asked
or forced to follow a specific path, rather I want to control the environment or the path of some special
agents in such a way that the observed behavior of the crowd is
"naturally" optimal. I have also explored the potential of the mean-field game
theory in the context of pedestrian dynamics.
In the last years I focused on pedestrian movements inside museums
in order to optimize the visitor flow and the placement of the artworks.
My research is devoted to the
construction of optimal supports
for unprintable objects. Using the level-set
, I "inflate" the object in such a way that overhangs
thus finding, as a by-product, the minimal-volume support specifically
conceived for the object.
More in general, I am
interested in any kind of advanced mathematical method to solve
problems related to low cost 3D printers based on the FDM
I am interested in any kind of fast numerical method for solving the Hamilton-Jacobi-Bellman
equations associated, respectively, to optimal control problems
and differential games
. In particular I worked on the extensions of the Dijkstra-inspired Fast Marching Method
to Hamilton-Jacobi equations more general than the eikonal