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.

引用

页码：L179 / L184

页数：6

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