14 citations · 35 across the 16 of their papers we have counts for
9 papers · 1 filter
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…
A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks with application to traffic flow models
Elisabetta Carlini, Adriano Festa, Nicolas Forcadel
We present a semi-Lagrangian scheme for the approximation of a class of Hamilton-Jacobi-Bellman equations on networks. The scheme is explicit and stable under some technical condit…
A Hybrid control approach to the route planning problem for sailing boats
Roberto Ferretti, Adriano Festa
We present an optimal hybrid control approach to the problem of stochastic route planning for sailing boats, especially in short course fleet races, in which minimum average time i…
The Hughes model for pedestrian dynamics and congestion modelling
Elisabetta Carlini, Adriano Festa, Francisco J. Silva
In this paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a c…
A discrete Hughes' model for pedestrian flow on graphs
Fabio Camilli, Adriano Festa, Silvia Tozza
In this paper, we introduce a discrete time-finite state model for pedestrian flow on a graph in the spirit of the Hughes dynamic continuum model. The pedestrians, represented by a…
A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow
Elisabetta Carlini, Adriano Festa, Francisco J. Silva +1
In this paper we present a Semi-Lagrangian scheme for a regularized version of the Hughes model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system descr…
Domain decomposition based parallel Howard's algorithm
Adriano Festa
The Classic Howard's algorithm, a technique of resolution for discrete Hamilton-Jacobi equations, is of large use in applications for its high efficiency and good performances. A s…
Reconstruction of Independent Sub-domains for a class of Hamilton Jacobi Equations and its Application to Parallel Computing
Adriano Festa
A previous knowledge of the domains of dependence of an Hamilton Jacobi equation can be useful in its study and approximation. Information of this nature are, in general, difficult…
An approximation scheme for an Eikonal Equation with discontinuous coefficient
Adriano Festa, Maurizio Falcone
We consider the stationary Hamilton-Jacobi equation where the dynamics can vanish at some points, the cost function is strictly positive and is allowed to be discontinuous. More pr…