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带波动算子的非线性Schrodinger方程的线性紧格式 (英)

李鑫 张鲁明 柴光颖

李鑫, 张鲁明, 柴光颖. 带波动算子的非线性Schrodinger方程的线性紧格式 (英)[J]. 华东师范大学学报(自然科学版), 2016, (3): 1-8. doi: 2016.03.001
引用本文: 李鑫, 张鲁明, 柴光颖. 带波动算子的非线性Schrodinger方程的线性紧格式 (英)[J]. 华东师范大学学报(自然科学版), 2016, (3): 1-8. doi: 2016.03.001
LI Xin, ZHANG Lu-Ming, CHAI Guang-Ying1. A linear compact scheme for the nonlinear Schr'odinger equation with wave operator[J]. Journal of East China Normal University (Natural Sciences), 2016, (3): 1-8. doi: 2016.03.001
Citation: LI Xin, ZHANG Lu-Ming, CHAI Guang-Ying1. A linear compact scheme for the nonlinear Schr"odinger equation with wave operator[J]. Journal of East China Normal University (Natural Sciences), 2016, (3): 1-8. doi: 2016.03.001

带波动算子的非线性Schrodinger方程的线性紧格式 (英)

doi: 2016.03.001
基金项目: 

安徽省高校自然科学研究重点项目(KJ2015A242)

详细信息
    作者简介:

    李鑫, 男, 助教, 研究方向为微分方程数值解.

    通讯作者:

    李鑫, 男, 助教, 研究方向为微分方程数值解.

  • 中图分类号: O241

A linear compact scheme for the nonlinear Schr"odinger equation with wave operator

  • 摘要: 本文对带波动算子的非线性~Schrodinger~方程提出了一个线性的紧致差分格式,从而解决了该方程的周期初值问题. 通过先验估计和能量法,证明了格式的无条件稳定性和无穷模误差,且证得格式的收敛阶为~O(h[4]+tau[2]),最后通过一组数值实验验证了理论结果。
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  • 被引次数: 0
出版历程
  • 收稿日期:  2015-04-27
  • 刊出日期:  2016-05-25

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