57 citations · 149 across the 19 of their papers we have counts for
3 papers · 1 filter
Blended numerical schemes for the advection equation and conservation laws
Simone Cacace, Emiliano Cristiani, Roberto Ferretti
In this paper we propose a method to couple two or more explicit numerical schemes approximating the same time-dependent PDE, aiming at creating new schemes which inherit advantage…
A numerical method for Mean Field Games on networks
Simone Cacace, Fabio Camilli, Claudio Marchi
We propose a numerical method for stationary Mean Field Games defined on a network. In this framework a correct approximation of the transition conditions at the vertices plays a c…
A dynamic domain decomposition for a class of second order semi-linear equations
Simone Cacace, Maurizio Falcone
We propose a parallel algorithm for the numerical solution of a class of second order semi-linear equations coming from stochastic optimal control problems, by means of a dynamic d…