Symbolic calculation in development of algorithms:Split-step methods for the Gross-Pitaevskii equation

Javanainen, J. and Ruostekoski, J. (2006) Symbolic calculation in development of algorithms:Split-step methods for the Gross-Pitaevskii equation. Journal of Physics A: Mathematical and General, 39 (12). L179-L184. ISSN 0305-4470

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Abstract

We employ symbolic calculation to perform a systematic study of the accuracy of split-step Fourier transform methods for the time dependent Gross-Pitaevskii equation (GPE). Provided the most recent approximation for the wave function is always used in the nonlinear atom-atom interaction energy, every split-step algorithm we have tried has the same-order time stepping error for the nonlinear GPE and for the linear Schroedinger equation.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics A: Mathematical and General
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3109
Subjects:
ID Code:
123687
Deposited By:
Deposited On:
26 Feb 2018 10:54
Refereed?:
Yes
Published?:
Published
Last Modified:
17 Jun 2020 05:36