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arXiv · 1902.05716

Comparison of Splitting methods for Gross-Pitaevskii Equation

Juergen Geiser·Amirbahador Nasari
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Abstract

In this paper, we discuss the different splitting approaches to solve the Gross-Pitaevskii equation numerically. We consider conservative finite-difference schemes and spectral methods for the spatial discretisation. Further, we apply implicit or explicit time-integrators and combine such schemes with different splitting approaches. The numerical solutions are compared based on the conservation of the $L_2$-norm with the analytical solutions. The advantages of the splitting methods for large time-domains are presented in several numerical examples of different solitons applications.

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BibTeXRIS

Juergen Geiser, Amirbahador Nasari. 2019-02-15. Comparison of Splitting methods for Gross-Pitaevskii Equation. https://arxiv.org/abs/1902.05716

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