366 citations · 967 across the 53 of their papers we have counts for
3 papers · 1 filter
Limits of non-local approximations to the Eikonal equation on manifolds
Jalal M. Fadili, Nicolas Forcadel, Rita Zantout
In this paper, we consider a non-local approximation of the time-dependent Eikonal equation defined on a Riemannian manifold. We show that the local and the non-local problems are…
Continuum limit of -Laplacian evolution problems on graphs: graphons and sparse graphs
Imad El Bouchairi, Jalal Fadili, Abderrahim Elmoataz
In this paper we study continuum limits of the discretized -Laplacian evolution problem on sparse graphs with homogeneous Neumann boundary conditions. This extends the results o…
Nonlocal -Laplacian evolution problems on graphs
Hafiene Yosra, Jalal Fadili, Abderrahim Elmoataz
In this paper we study numerical approximations of the evolution problem for the nonlocal -Laplacian with homogeneous Neumann boundary conditions. First, we derive a bound on th…