32 citations · 55 across the 7 of their papers we have counts for
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math.NA2016
Finite Element Method for a Space-Fractional Anti-Diffusive Equation
Afaf Bouharguane
The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dune morphodynamics is considered. Spatial discretization is effected using a finit…
math.AP2016
A Splitting Method for Deep Water with Bathymetry
Afaf Bouharguane, Benjamin Melinand
In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on…