2 papers
math.NA2025
Numerical Hopf-Lax formulae for Hamilton-Jacobi equations on unstructured geometries
Simone Cacace, Roberto Ferretti, Giulia Tatafiore
We consider a scheme of Semi-Lagrangian (SL) type for the numerical solution of Hamilton-Jacobi (HJ) equation on unstructured triangular grids. As it is well known, SL schemes are…
math.DS2024
A macroscopic pedestrian model with variable maximal density
Laura Bartoli, Simone Cacace, Emiliano Cristiani +1
In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the…