activity
20112026
most citedA patchy Dynamic Programming scheme for a class of Hamilton-Jacobi-Bellman equations

57 citations · 149 across the 19 of their papers we have counts for

collaborators

26 papers

math.DS2026

The Wolf and the Cello: Modelling and design of multiple resonance suppressors in large string instruments

Simone Cacace, Emiliano Cristiani, Francesca L. Ignoto

The wolf note is an acoustic instability that occurs in large bowed string instruments when a strong body resonance interacts with the vibrating string, producing amplitude modulat…

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…

math.OC2023★ 11 cited

Reliable optimal controls for SEIR models in epidemiology

Simone Cacace, Alessio Oliviero

We present and compare two different optimal control approaches applied to SEIR models in epidemiology, which allow us to obtain some policies for controlling the spread of an epid…

math.OC2022

Approximation of the value function for optimal control problems on stratified domains

Simone Cacace, Fabio Camilli

In optimal control problems defined on stratified domains, the dynamics and the running cost may have discontinuities on a finite union of submanifolds of RN. In [8, 5], the corres…

math.AP2021

A dynamic programming approach for controlled fractional SIS models

Simone Cacace, Anna Chiara Lai, Paola Loreti

We investigate a susceptible-infected-susceptible (SIS) epidemic model based on the Caputo-Fabrizio operator. After performing an asymptotic analysis of the system, we study a rela…