A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross-Pitaevskii equation with angular momentum rotation

被引：10

作者：

Cui, Jin ^{[1
,2
]}

Cai, Wenjun ^{[1
]}

Wang, Yushun ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Prov Key Lab NSLSCS, Nanjing, Jiangsu, Peoples R China

[2] Nanjing Vocat Coll Informat Technol, Dept Basic Sci, Nanjing 210023, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2020年 / 253卷

基金：

中国国家自然科学基金;

关键词：

Gross-Pitaevskii equation; Angular momentum rotation; Fourier pseudo-spectral method; Conservation law; Error estimate; BOSE-EINSTEIN CONDENSATION; FINITE-DIFFERENCE SCHEME; NUMERICAL-METHOD; DYNAMICS; CONVERGENCE; EFFICIENT; VORTICES;

D O I：

10.1016/j.cpc.2020.107160

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a linearly-implicit Fourier pseudo-spectral method which preserves discrete mass and energy is developed for the time-dependent 3D Gross-Pitaevskii equation with additional angular momentum rotation. By establishing several discrete semi-norm equivalences between the Fourier pseudo-spectral method and the finite difference method, we establish an optimal H-1-error estimate for the proposed scheme without any restrictions on the grid ratio. The convergent rate of the numerical solution is proved to be of order O(N-r + tau(2)), where N is the number of spatial nodes and tau is the time step. Numerical results are reported to verify the efficiency and accuracy of our new method. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：26