24 citations · 35 across the 13 of their papers we have counts for
18 papers
A CWENO large time-step scheme for Hamilton--Jacobi equations
E. Carlini, R. Ferretti, S. Preda +1
We propose a high order numerical scheme for time-dependent first order Hamilton--Jacobi--Bellman equations. In particular we propose to combine a semi-Lagrangian scheme with a Cen…
An algorithmic guide for finite-dimensional optimal control problems
Jean-Baptiste Caillau, Roberto Ferretti, Emmanuel Trélat +1
We survey the main numerical techniques for finite-dimensional nonlinear optimal control. The chapter is written as a guide to practitioners who wish to get rapidly acquainted with…
Efficient implementation of characteristic-based schemes on unstructured triangular grids
Simone Cacace, Roberto Ferretti
Using characteristics to treat advection terms in time-dependent PDEs leads to a class of schemes, e.g., semi-Lagrangian and Lagrange-Galerkin schemes, which preserve stability und…
Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems
Luca Bonaventura, Elisabetta Carlini, Elisa Calzola +1
We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which employs a semi-Lagrangian approach to…
Stochastic hybrid differential games and match race problems
Simone Cacace, Roberto Ferretti, Adriano Festa
We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a "match race" between two sailing boats, namely a compet…
Null controllability of parabolic equations with interior degeneracy and one-sided control
Piermarco Cannarsa, Roberto Ferretti, Patrick Martinez
For we study the null controllability of the parabolic operator which degenerates at the interior point , for…