57 citations · 143 across the 21 of their papers we have counts for
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math.NA2013★ 16 cited
A semi-Lagrangian scheme for the game -Laplacian via -averaging
M. Falcone, S. Finzi Vita, T. Giorgi +1
We present and analyze an approximation scheme for the two-dimensional game -Laplacian in the framework of viscosity solutions. The approximation is based on a semi-Lagrangian s…
math.NA2013
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…
math.NA2013★ 24 cited
Can local single-pass methods solve any stationary Hamilton-Jacobi-Bellman equation?
Simone Cacace, Emiliano Cristiani, Maurizio Falcone
The use of local single-pass methods (like, e.g., the Fast Marching method) has become popular in the solution of some Hamilton-Jacobi equations. The prototype of these equations i…