轨道问题数值积分的辛三角拟合修正分区龙格-库塔法

Z. Kalogiratou, Th. Monovasilis, T. E. Simos
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引用次数: 19

摘要

本文用具有三角拟合性质的辛修正分划龙格-库塔方法研究了哈密顿系统的数值积分问题。构造了具有三角拟合性质的二阶辛修正龙格-库塔方法。我们将新方法与已有的方法一起应用于Stiefel和Bettis研究的谐振子、二维谐振子、两体问题和轨道问题的数值积分。(©2005 WILEY-VCH Verlag GmbH &KGaA公司,Weinheim)
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A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems

The numerical integration of Hamiltonian systems by symplectic modified partitioned Runge-Kutta methods with the trigonometrically fitted property is considered in this paper. We construct new symplectic modified Runge-Kutta method of second order with the trigonometrically fitted property. We apply our new method as well as other existing methods to the numerical integration of the harmonic oscillator, the two dimensional harmonic oscillator, the two-body problem and an orbit problem studied by Stiefel and Bettis. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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