[1]符芳芳,周媛兰.2维Gross-Pitaevskii方程的辛格式[J].江西师范大学学报(自然科学版),2016,40(06):599-602.
　FU Fangfang,ZHOU Yuanlan.The Symplectic Integrator for Two-Dimensional Gross-Pitaevskii Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(06):599-602.
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2维Gross-Pitaevskii方程的辛格式()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年06期
页码:
599-602
栏目:
出版日期:
2016-12-01

文章信息/Info

Title:
The Symplectic Integrator for Two-Dimensional Gross-Pitaevskii Equations
作者:
符芳芳; 周媛兰
1.南昌工学院,江西 南昌 330108; 2.江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
FU Fangfang; ZHOU Yuanlan
1.Nanchang Institute of Science and Technology,Nanchang Jiangxi 330108,China; 2.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
辛格式;  Gross-Pitaevskii方程;  守恒律
Keywords:
symplectic integrator;  Gross-Pitaevskii equation;  conservation laws
分类号:
O 241.8
摘要:
提出了2维Gross-Pitaevskii方程的辛格式,该格式能够精确地保持电荷守恒和隐式能量守恒,还分析了该格式的数值误差,最后通过数值例子验证了理论结果.
Abstract:
A symplectic integrator is proposed for the two dimensional Gross-Pitaevskii equations in the letter.It is observed that the proposed scheme keeps the charge exactly unchanged and an implicit energy conservation law.Furthermore,the error of the numerical method is estimated theoretically.The theoretical analysis is illustrated by some numerical examples.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-05-20基金项目:国家自然科学基金(11301234,11211171)和江西省自然科学基金(20161ACB20006,20151BAB201012,20142BCB23009)资助项目.作者简介:符芳芳(1984-),女,江西南昌人,讲师,主要从事偏微分方程研究.
更新日期/Last Update: 1900-01-01