Reduction of Round-off Errors in the Extrapolation Methods and its Application to the Integration of Orbital Motion

Details Reduction of Round-off Errors in the Extrapolation Methods and its Application to the Integration of Orbital Motion Reduction of Round-off Errors in the Extrapolation Methods and its Application to the Integration of Orbital Motion

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aj....112.1298f&link_type=abstract

Astronomical Journal v.112, p.1298

Astronomy and Astrophysics

Astronomy

6

Methods: Numerical

Scientific paper

A simple technique to reduce round-off errors was applied to the extrapolation methods to integrate ordinary differential equations. The methods with this technique are always superior to the original methods. The required computational labor remains almost the same. Numerical simulations showed that the new methods provide a few digits more precise results than the original methods. Alternatively, the new methods run roughly twice as fast as the original methods if the same accuracy is required.

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