71 citations · 176 across the 14 of their papers we have counts for
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math.AP2016★ 1 cited
Uniformly accurate time-splitting methods for the semiclassical Schrödinger equation Part 1 : Construction of the schemes and simulations
Philippe Chartier, Loïc Le Treust, Florian Méhats
This article is devoted to the construction of new numerical methods for the semiclassical Schrödinger equation. A phase-amplitude reformulation of the equation is described where…
math.AP2016
Uniformly accurate time-splitting methods for the semiclassical linear Schr{ö}dinger equation
Philippe Chartier, Loïc Le Treust, Florian Méhats
This article is devoted to the construction of numerical methods which remain insensitive to the smallness of the semiclassical parameter for the linear Schr{ö}dinger equation in t…