数学物理学报 ›› 2000, Vol. 20 ›› Issue (2): 240-245.

• 论文 • 上一篇    下一篇

非线性Schrodinger方程初边值问题的守恒数值格式

  

  1. 石油大学数学系 山东东营 257062
     
    中国科学院应用数学研究所 北京 100080
  • 出版日期:2000-03-03 发布日期:2000-03-03

A Conservative Numerical Schmem for Initial and Boundary Value Problem of Nonlinear Schrodinger Equation

  1. Department of Mathematics, University of Petroleum, Dongying 257062

     

     |Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080

  • Online:2000-03-03 Published:2000-03-03

摘要:

该文对非线性Schrodinger方程提出了一种新的守恒差分格式,并证明了该格式的收敛性与稳定性,通过数值计算获得如下结论,提出的差分格式在取适当的参数后,精度上好于文[7]中的格式.

关键词: NLS方程, 差分格式, 守恒, 收敛性, 稳定性.

Abstract:

Inthispaper,anewconservativefinitedifferenceschemeisproposedfornonlinearSchr¨ odingerequation,anditsconvergenceandstabilityareproved.Bymeansofnumericalcomputing,itisfollowedthatthenewdifferenceschemeisbetterthantheschemeofpaper[7]inprecision,whensuitableparameterisadopted.

 

Key words: NLSEquation, Differencescheme, Conservation, Convergence, Stability

中图分类号: 

  •  65N10