- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schroedinger equation
- 发布时间：2025-04-30
- 论文名称：Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schroedinger equation
- 发表刊物：Applied Numerical Mathematics
- 摘要：In this paper, we propose a highly accurate and conservative split-step spectral Galerkin (SSSG) scheme,
which combines the standard second-order Strang split-step method for handling the nonlinear and the
potential terms with the Legendre spectral Galerkin method for approximating the Riesz space-fractional
derivaties, for the two-dimensional nonlinear space-fractional Schr¨odinger equation. The mass conservation
property of the numerical solution is proved and the optimal error estimate with respect to spatial discretization
is established by introducing an orthogonal projection operator. In addition, a matrix diagonalization
technique is introduced to resolve the multi-dimensional difficulty and reduce the computational complexity
in the implementation. Numerical experiments are presented to illustrate the accuracy and robustness of
the SSSG method. - 合写作者：Ying Wang, Liquan Mei, Qi Li, Linlin Bu
- 卷号：136
- 页面范围：257-278
- 是否译文：否
- 发表时间：2019-02-01
- 合写作者：Ying Wang, Liquan Mei, Qi Li, Linlin Bu