Statistics – Computation
Scientific paper
Jul 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006acasn..47..291z&link_type=abstract
Acta Astronomica Sinica, vol. 47, no. 3, p. 291-300
Statistics
Computation
1
Celestial Mechanics---Numerical Integration: Stabilization, Post-Stabilization
Scientific paper
A discussion and a comparison between Baumgarte's stabilization method and Chin's post-stabilization one are given in detail. It is shown that classical numerical methods with the two stabilization ways can achieve higher accuracy and improve numerical stability. As an emphasis, the former is not equivalent to the latter in general even if the best stabilizing parameter can be found. In addition, it is ambiguous to deduce whether the former is or not superior to the latter from the accuracy point of view for various problems. On the other hand, it is clear that the stabilization leads to the appearance of a complicated right function so that the computation of the right function becomes more expensive. Above all, there is a difficulty in choosing the best stabilizing parameter. In view of these factors, the post-stabilization is worth recommending in many cases. However, a noticeable problem should be mentioned that for the post-stabilization employing larger time step size is inadvisable but for the traditional integrator the use of time step size has allowance of appropriate expanding.
Wu Xiaolin
Zhu Jun-Fang
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