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 - <p style="text-align: justify;">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. &nbsp;</p>