7 citations · 10 across the 8 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.MG2018
Optimization on fractal sets
Nizar Riane, Claire David
We outline necessary and sufficient condition to the existence of extrmas of a function on a self-similar set, and we describe discrete gradient algorithm to find the extrema.
math.CO2018
The finite volume method on Sierpiński simplices
Nizare Riane, Claire David
In this work, we exploit Strichartz average approach \cite{Strichartz2001} to define the Laplacian on Sierpiński gasket, in the construction of the finite volume method. The approa…
math.NA2018★ 7 cited
The Finite Difference Method, for the heat equation on Sierpiński simplices
Nizare Riane, Claire David
In the sequel, we extend our previous work on the Minkowski Curve to Sierpiński simplices (Gasket and Tetrahedron), in the case of the heat equation. First, we build the finite dif…