Vector integration of dynamical motions by the Picard-Chebyshev method

被引:34
作者
Fukushima, T
机构
[1] National Astronomical Observatory, 2-21-1, Ohsawa, Mitaka
关键词
D O I
10.1086/118443
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Picard-Chebyshev method (Fukushima, 1997, AJ, 113, 1909) was adapted to a vector computer. The method solves the initial and boundary value problem of ordinary differential equations in perturbed dynamics a few hundred to a few thousands times as fast as in scalar computers. (C) 1997 American Astronomical Society.
引用
收藏
页码:2325 / 2328
页数:4
相关论文
共 5 条
[1]  
[Anonymous], 1996, Numerical Recipes in Fortran
[2]   Generalization of Encke's method and its application to the orbital and rotational motions of celestial bodies [J].
Fukushima, T .
ASTRONOMICAL JOURNAL, 1996, 112 (03) :1263-1277
[3]   Picard iteration method, Chebyshev polynomial approximation, and global numerical integration of dynamical motions [J].
Fukushima, T .
ASTRONOMICAL JOURNAL, 1997, 113 (05) :1909-1914
[4]   Reduction of round-off errors in the extrapolation methods and its application to the integration of orbital motion [J].
Fukushima, T .
ASTRONOMICAL JOURNAL, 1996, 112 (03) :1298-1301
[5]  
Hairer E., 2008, Solving Ordinary Differential Equations I Nonstiff problems