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math.NA2013★ 2 cited
Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties
Philippe Chartier, Norbert J. Mauser, Florian Méhats +1
In this paper, we present the Stroboscopic Averaging Method (SAM), recently introduced in [7,8,10,12], which aims at numerically solving highly-oscillatory differential equations.…
math.AP2013
Analysis of models for quantum transport of electrons in graphene layers
Raymond El Hajj, Florian Méhats
We present and analyze two mathematical models for the self consistent quantum transport of electrons in a graphene layer. We treat two situations. First, when the particles can mo…