Order estimates in time of splitting methods for the nonlinear Schrödinger equation
Résumé
In this paper, we consider the nonlinear Schrödinger equation ut + iΔu − F(u) = 0 in two dimensions. We show, by an operator-theoretic proof, that the well-known Lie and Strang formulae (which are splitting methods) are approximations of the exact solution of order 1 and 2 in time.
Domaines
Analyse numérique [math.NA]| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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