Error Analysis of the Strang Time-Splitting Laguerre–Hermite/Hermite Collocation Methods for the Gross–Pitaevskii Equation
Error Analysis of the Strang Time-Splitting Laguerre–Hermite/Hermite Collocation Methods for the Gross–Pitaevskii Equation
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DOI：
10.1007/s10208-012-9124-x
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发表时间：
2012-06
影响因子：
3
通讯作者：
Jie Shen;Zhong-qing Wang
中科院分区：
文献类型：
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作者：
Jie Shen;Zhong-qing Wang
对求解含时Gross-Pitaevskii方程的斯特朗分裂Laguerre-Hermite/Hermite配置方法进行了严格的误差分析.我们分别用斯特朗分裂Laguerre-Hermite配点法和斯特朗分裂Hermite配点法得到了三维圆柱对称GPE全离散的误差估计.
The aim of this paper is to carry out a rigorous error analysis for the Strang splitting Laguerre–Hermite/Hermite collocation methods for the time-dependent Gross–Pitaevskii equation (GPE). We derive error estimates for full discretizations of the three-dimensional GPE with cylindrical symmetry by the Strang splitting Laguerre–Hermite collocation method, and for thed-dimensional GPE by the Strang splitting Hermite collocation method.