9 citations · 45 across the 23 of their papers we have counts for
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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…
The Finite difference method for the Minkowski Curve
Nizare Riane, Claire David
In this work, we describe how to approximate solutions of some partial differential equations using the finite difference method defined on the Minkowski self-similar curve.
Lie group computation of finite difference schemes
Emma Hoarau, Claire David
A Mathematica based program has been elaborated in order to determine the symmetry group of a finite difference equation, by means of its differential representation. The package p…
Lie group stability of finite difference schemes
Emma Hoarau, Claire David, Pierre Sagaut +1
Differential equations arising in fluid mechanics are usually derived from the intrinsic properties of mechanical systems, in the form of conservation laws, and bear symmetries, wh…