Comparison of some special optimized fourth-order Runge-Kutta methods for the numerical solution of the Schrodinger equation

被引：82
作者：
de Vyver, HV
机构：
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2005年 / 166卷 / 02期
关键词：
explicit Runge-Kutta methods; exponential fitting; phase fitting; radial Schrodinger equation; resonance problem; bound-states problem;
D O I：
10.1016/j.cpc.2004.11.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A new fourth-order explicit Runge-Kutta method based on an approach of Simos is developed in this paper. Numerical experiments reveal that the new method is much more efficient than other special tuned RK methods and the Numerov method for the numerical solution of the radial Schrodinger equation for large energies. An error analysis is made and the asymptotic expressions of the local errors for large energies explain the numerical results in the case of the resonance problem. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：109 / 122
页数：14
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