Abstract
We propose and analyze discretization methods for solving finite systems of nonlinearly coupled Schrödinger equations, which arise as an asymptotic limit of the three-dimensional Gross-Pitaevskii equation with strongly anisotropic potential. A pseudo-spectral method with Hermite basis functions combined with a Crank-Nicolson type method is introduced. Numerical experiments are presented, including a comparison with an alternative discretization approach.
Citation
Rada M. Weishäupl. Christian Schmeiser. Peter A. Markowich. Juan Pablo Borgna. "A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations." Commun. Math. Sci. 5 (2) 299 - 312, June 2007.
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