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math.NA2021
Extending nonstandard finite difference schemes rules to systems of nonlinear ODEs with constant coefficients
Marc Songolo, Brigitte Bidégaray-Fesquet
In this paper, we present a reformulation of Mickens' rules for nonstandard finite difference (NSFD) scheme to adapt them to systems of ODEs. This leads to exact schemes in the lin…
math.NA2019
Strang splitting schemes for N-level Bloch models
Marc Songolo, Brigitte Bidégaray-Fesquet
We extend to the N-level Bloch model the splitting scheme which use exact numerical solutions of sub-equations. These exact solutions involve matrix exponentials which we want to a…