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math.NA2012★ 9 cited
An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit
Christophe Besse, Rémi Carles, Florian Méhats
We consider the semiclassical limit for the nonlinear Schrodinger equation. We introduce a phase/amplitude representation given by a system similar to the hydrodynamical formulatio…
math.AP2012
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media
Christophe Besse, Julien Coatleven, Sonia Fliss +2
In this paper, we propose a strategy to determine the Dirichlet-to-Neumann (DtN) operator for infinite, lossy and locally perturbed hexagonal periodic media. We obtain a factorizat…