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

被引：69
作者：
Javanainen, J [1 ]
Ruostekoski, J
机构：
[1] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA
[2] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 12期
关键词：
D O I：
10.1088/0305-4470/39/12/L02
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 wavefunction 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 Schrodinger equation.
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页码：L179 / L184
页数：6
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