A Hermite Pseudo-spectral method for solving systems of Gross-Pitaevskii equations

被引：0
作者：
Weishaeupl, Rada M.
Schmeiser, Christian
Markowich, Peter A.
Pablo Borgna, Juan
机构：
[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria
[2] Univ Vienna, Inst Math, A-1090 Vienna, Austria
[3] Univ Buenos Aires, Dept Matemat, RA-1053 Buenos Aires, DF, Argentina
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2007年 / 5卷 / 02期
关键词：
Gross-Pitaevskii equation; spectral decomposition; Fourier expansion; Hermite polynomials; BOSE-EINSTEIN CONDENSATION; DILUTE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose and analyze discretization methods for solving finite systems of non-linearly coupled Schrodinger equations, which arise as an asymptotic limit of the three-dimensional Gross-Pitaevskii equation with strongly anisotropic potential. A pseudo-spectral method with Hermite basis functions combined with a Crank-Nicolson type method is introduced. Numerical experiments are presented, including a comparison with an alternative discretization approach.
引用
收藏
页码：299 / 312
页数：14
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