Publications/学术论文 - 梅立泉

论文期刊

论文标题	Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates
作者	Yali Gao, Liquan Mei
发表/完成日期	2021-03-03
期刊名称	Computers and Mathematics with Applications
期卷	87
相关文章
论文简介	In this paper, we develop a time-splitting method to investigate the evolution of the spin-orbit-coupled Bose-Einstein condensates. The fully discrete scheme is constructed by cooperating the second-order time-splitting method for temporal discretization and the framework of Galerkin finite element method for spatial discretization. Ample numerical simulations are performed to validate the features of the designed numerical method, including the optimal order of error norms, the conservation law and the center-of-mass. Moreover, the interaction of waves with typical trapping potentials in two and three dimensions are numerically simulated.