轨道问题数值积分的辛三角拟合修正分区龙格-库塔法

Applied Numerical Analysis & Computational Mathematics Pub Date : 2005-11-24 DOI:10.1002/anac.200510037

Z. Kalogiratou, Th. Monovasilis, T. E. Simos

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引用次数: 19

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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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Applied Numerical Analysis & Computational Mathematics

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