58 citations · 59 across the 5 of their papers we have counts for
4 papers · 1 filter
An Adjoint-based Numerical Method for a class of nonlinear Fokker-Planck Equations
Adriano Festa, Diogo A. Gomes, Roberto M. Velho
Here, we introduce a numerical approach for a class of Fokker-Planck (FP) equations. These equations are the adjoint of the linearization of Hamilton-Jacobi (HJ) equations. Using t…
On the Hughes Model and Numerical Aspects
Diogo A. Gomes, Roberto M. Velho
We study a crowd model proposed by R. Hughes and we describe a numerical approach to solve it. The Hughes model comprises a Fokker-Planck equation coupled with an eikonal equation…
Dual two-state mean-field games
Diogo A. Gomes, Roberto M. Velho, Marie-Therese Wolfram
In this paper, we consider two-state mean-field games and its dual formulation. We then discuss numerical methods for these problems. Finally, we present various numerical experime…
Socio-economic applications of finite state mean field games
Diogo A. Gomes, Roberto M. Velho, Marie-Therese Wolfram
In this paper we present different applications of finite state mean field games to socio-economic sciences. Examples include paradigm shifts in the scientific community or the con…