A phase-fitted Runge-Kutta-Nystrom method for the numerical solution of initial value problems with oscillating solutions

被引：48

作者：

Papadopoulos, D. F. ^{[1
]}

Anastassi, Z. A. ^{[1
]}

Simos, T. E. ^{[1
]}

机构：

[1] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, Sci Computat Lab, GR-22100 Tripolis, Greece

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2009年 / 180卷 / 10期

关键词：

Runge-Kutta-Nystrom methods; Phase-fitted; Initial-value problems; Phase-lag infinity; NOUMEROV-TYPE METHOD; SCHRODINGER-EQUATION; INTEGRATION; LAG;

D O I：

10.1016/j.cpc.2009.05.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new Runge-Kutta-Nystrom method, with phase-lag of order infinity, for the integration of second-order periodic initial-value problems is developed in this paper. The new method is based on the Dormand, El-Mikkawy and Prince Runge-Kutta-Nystrom method of algebraic order four with four (three effective) stages. Numerical illustrations indicate that the new method is much more efficient than other methods derived, based on the idea of minimal phase lag or of phase lag of order infinity. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1839 / 1846

页数：8

共 13 条

[1] A ONE-STEP METHOD FOR DIRECT INTEGRATION OF STRUCTURAL DYNAMIC EQUATIONS [J].