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Volume 17, Issue 5
A Structure-Preserving Discretization of Nonlinear Schrödinger Equation

Ming-You Huang, Ru Qu & Cheng-Hun Gong

J. Comp. Math., 17 (1999), pp. 553-560.

Published online: 1999-10

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  • Abstract

This paper studies the geometric structure of nonlinear Schrödinger equation and from the viewpoint of preserving structure a kind of fully discrete schemes is presented for the numerical simulation of this important equation in quantum. It has been shown by theoretical anaysis and numerical experiments that such discrete schemes are quite satisfactory in keeping the desirable conservation properties and for simulating the long-time behaviour.  

  • Keywords

Schrodinger equation, Hamiltonian system, Discrete schemes, Structure preserving algorithm.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-553, author = {Huang , Ming-YouQu , Ru and Gong , Cheng-Hun}, title = {A Structure-Preserving Discretization of Nonlinear Schrödinger Equation}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {5}, pages = {553--560}, abstract = {

This paper studies the geometric structure of nonlinear Schrödinger equation and from the viewpoint of preserving structure a kind of fully discrete schemes is presented for the numerical simulation of this important equation in quantum. It has been shown by theoretical anaysis and numerical experiments that such discrete schemes are quite satisfactory in keeping the desirable conservation properties and for simulating the long-time behaviour.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9125.html} }
TY - JOUR T1 - A Structure-Preserving Discretization of Nonlinear Schrödinger Equation AU - Huang , Ming-You AU - Qu , Ru AU - Gong , Cheng-Hun JO - Journal of Computational Mathematics VL - 5 SP - 553 EP - 560 PY - 1999 DA - 1999/10 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9125.html KW - Schrodinger equation, Hamiltonian system, Discrete schemes, Structure preserving algorithm. AB -

This paper studies the geometric structure of nonlinear Schrödinger equation and from the viewpoint of preserving structure a kind of fully discrete schemes is presented for the numerical simulation of this important equation in quantum. It has been shown by theoretical anaysis and numerical experiments that such discrete schemes are quite satisfactory in keeping the desirable conservation properties and for simulating the long-time behaviour.  

Huang , Ming-YouQu , Ru and Gong , Cheng-Hun. (1999). A Structure-Preserving Discretization of Nonlinear Schrödinger Equation. Journal of Computational Mathematics. 17 (5). 553-560. doi:
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