梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates
- Journal:Computers and Mathematics with Applications
- Summary: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.
- Co-author:Yali Gao, Liquan Mei
- Volume:87
- Page Number:77-90
- Translation or Not:No
- Date of Publication:2021-03-03