On variable-step methods for the numerical solution of Schrodinger equation and related problems

被引：9
作者：
Avdelas, G
Simos, TE
机构：
[1] Tech Univ Greece, Lab Appl Math & Comp, Dept Sci, Chania 73100, Crete, Greece
[2] Democritus Univ Thrace, Sect Math, Sch Engn, Dept Civil Engn, GR-67100 Xanthi, Greece
来源：
COMPUTERS & CHEMISTRY | 2001年 / 25卷 / 01期
关键词：
Schrodinger equation; wave equation; phase-lag; variable-step methods; error control; coupled differential equations; scattering problems;
D O I：
10.1016/S0097-8485(00)00085-1
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In this paper we present a review for the construction of variable-step methods for the numerical integration of the Schrodinger equation. Phase-lag and stability are investigated. The methods are variable-step because of a simple natural error control mechanism. Numerical results obtained for coupled differential equations arising from the Schrodinger equation and for the wave equation show the validity of the approach presented. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：3 / 13
页数：11
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