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Springer (part of Springer Nature), Journal of Scientific Computing, 2(49), p. 111-136

DOI: 10.1007/s10915-010-9450-6

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Analysis of the Toolkit method for the time-dependent Schrödinger equation

Journal article published in 2010 by Lucie Baudouin, Julien Salomon, Gabriel Turinici ORCID
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Abstract

0907.2200 and 1004.5233 ; International audience ; The goal of this paper is to provide an analysis of the ''toolkit'' method used in the numerical approximation of the time-dependent Schrödinger equation. The ''toolkit'' method is based on precomputation of elementary propagators and was seen to be very efficient in the optimal control framework. Our analysis shows that this method provides better results than the second order Strang operator splitting. In addition, we present two improvements of the method in the limit of low and large intensity control fields.