An embedded phase-fitted modified Runge-Kutta method for the numerical integration of the radial Schrodinger equation

被引：32
|
作者：
Van de Vyver, H [1 ]
机构：
[1] Katholieke Univ Leuven, Dept Math, B-3001 Heverlee, Belgium
来源：
PHYSICS LETTERS A | 2006年 / 352卷 / 4-5期
关键词：
embedded explicit Runge-Kutta methods; variable stepsize algorithms; phase-fitting; resonance problem; phase-shift problem;
D O I：
10.1016/j.physleta.2005.12.020
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new way for constructing efficient embedded modified Runge-Kutta methods for the numerical solution of the Schrodinger equation is presented in this Letter. The methods of the embedded scheme have algebraic orders five and four. Applications of the new pair to several problems arising from the radial Schrodinger equation indicate that the new pair is more efficient than other well known comparable embedded Runge-Kutta pairs. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：278 / 285
页数：8
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