9 citations · 45 across the 23 of their papers we have counts for
25 papers
Structural stability of Lattice Boltzmann schemes
Claire David, Pierre Sagaut
The goal of this work is to determine classes of traveling solitary wave solutions for Lattice Boltzmann schemes by means of an hyperbolic ansatz. It is shown that spurious solitar…
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.
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…
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…
A few notes on Lorentz spaces
Claire David
In the sequel, we recall and comment some classical results on the non-increasing rearrangement and Lorentz spaces. There are papers in the existing literature that seemed to have…
A spectral study of the Minkowski Curve
Nizare Riane, Claire David
In the following, we give an explicit construction of a Laplacian on the Minkowski curve, with energy forms that bear the geometric characteristic of the structure. The spectrum of…