Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method

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• 作者：B. Cano^a ; ^{bego@mac.uva.es} ; N. Reguera^b ; ^{nreguera@ubu.es}
• 关键词：Nonlinear Schrö ; dinger equation ; Strang method ; Symmetry ; Avoiding order reduction in time
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：316
• 期：Complete
• 页码：86-99
• 全文大小：492 K
• 卷排序：316

文摘

In this paper a technique is suggested to avoid order reduction when using Strang method to integrate nonlinear Schrödinger equation subject to time-dependent Dirichlet boundary conditions. The computational cost of this technique is negligible compared to that of the method itself, at least when the timestepsize is fixed. Moreover, a thorough error analysis is given as well as a modification of the technique which allows to conserve the symmetry of the method while retaining its second order.