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On Fourier Time-Splitting Methods for Nonlinear Schrödinger Equations in the Semiclassical Limit

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A well-balanced and asymptotic-preserving scheme for the one-dimensional linear Dirac equation

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BIT Numerical Mathematics 55 (2) 433 (2015)
DOI: 10.1007/s10543-014-0510-4
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Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations

Xavier Antoine, Weizhu Bao and Christophe Besse
Computer Physics Communications 184 (12) 2621 (2013)
DOI: 10.1016/j.cpc.2013.07.012
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An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit

Christophe Besse, Rémi Carles and Florian Méhats
Multiscale Modeling & Simulation 11 (4) 1228 (2013)
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High Order Exponential Integrators for Nonlinear Schrödinger Equations with Application to Rotating Bose--Einstein Condensates

C. Besse, G. Dujardin and I. Lacroix-Violet
SIAM Journal on Numerical Analysis 55 (3) 1387 (2017)
DOI: 10.1137/15M1029047
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