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

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Symbolic calculation in development of algorithms: Split-step methods for the Gross-Pitaevskii equation. / Javanainen, J.; Ruostekoski, J.
In: Journal of Physics A: Mathematical and General , Vol. 39, No. 12, 08.03.2006, p. L179-L184.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Javanainen, J & Ruostekoski, J 2006, 'Symbolic calculation in development of algorithms: Split-step methods for the Gross-Pitaevskii equation', Journal of Physics A: Mathematical and General , vol. 39, no. 12, pp. L179-L184. https://doi.org/10.1088/0305-4470/39/12/L02

APA

Javanainen, J., & 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. https://doi.org/10.1088/0305-4470/39/12/L02

Vancouver

Javanainen J, Ruostekoski J. Symbolic calculation in development of algorithms: Split-step methods for the Gross-Pitaevskii equation. Journal of Physics A: Mathematical and General . 2006 Mar 8;39(12):L179-L184. doi: 10.1088/0305-4470/39/12/L02

Author

Javanainen, J. ; Ruostekoski, J. / Symbolic calculation in development of algorithms : Split-step methods for the Gross-Pitaevskii equation. In: Journal of Physics A: Mathematical and General . 2006 ; Vol. 39, No. 12. pp. L179-L184.

Bibtex

@article{89fc1aa2b3fe4d4c9fb1f65593678ef4,
title = "Symbolic calculation in development of algorithms: Split-step methods for the Gross-Pitaevskii equation",
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.",
author = "J. Javanainen and J. Ruostekoski",
year = "2006",
month = mar,
day = "8",
doi = "10.1088/0305-4470/39/12/L02",
language = "English",
volume = "39",
pages = "L179--L184",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "12",

}

RIS

TY - JOUR

T1 - Symbolic calculation in development of algorithms

T2 - Split-step methods for the Gross-Pitaevskii equation

AU - Javanainen, J.

AU - Ruostekoski, J.

PY - 2006/3/8

Y1 - 2006/3/8

N2 - 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.

AB - 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.

U2 - 10.1088/0305-4470/39/12/L02

DO - 10.1088/0305-4470/39/12/L02

M3 - Journal article

VL - 39

SP - L179-L184

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 12

ER -