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 -London- a Mathematical and General, 39 (12). L179-L184. ISSN 0305-4470

Full text not available from this repository.

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 -London- a Mathematical and General
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3109
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 123687
Deposited By: ep_importer_pure
Deposited On: 26 Feb 2018 10:54
Refereed?: Yes
Published?: Published
Last Modified: 07 Jan 2020 05:48
URI: https://eprints.lancs.ac.uk/id/eprint/123687

Actions (login required)

View Item View Item