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

Symbolic calculation in development of algorithms: Split-step methods for the Gross-Pitaevskii equation
Symbolic calculation in development of algorithms: Split-step methods for the Gross-Pitaevskii equation
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.
0305-4470
L179-L184
Javanainen, J.
10bc75aa-ad97-421b-8434-0b9e9a502318
Ruostekoski, J.
2beb155e-64b0-4ee9-9cfe-079947a9c9f4
Javanainen, J.
10bc75aa-ad97-421b-8434-0b9e9a502318
Ruostekoski, J.
2beb155e-64b0-4ee9-9cfe-079947a9c9f4

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. (doi:10.1088/0305-4470/39/12/L02).

Record type: Article

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.

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Published date: 2006
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 29361
URI: http://eprints.soton.ac.uk/id/eprint/29361
DOI: doi:10.1088/0305-4470/39/12/L02
ISSN: 0305-4470
PURE UUID: 67bb55b6-0c71-4919-b1bc-3c88d499059c

Catalogue record

Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:31

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Contributors

Author: J. Javanainen
Author: J. Ruostekoski

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