Round-off error in long-term orbital integrations using multistep methods |
| |
Authors: | Gerald D. Quinlan |
| |
Affiliation: | (1) Canadian Institute for Theoretical Astrophysics, University of Toronto, Canada;(2) Lick Observatory, University of California, Santa Cruz |
| |
Abstract: | Techniques for reducing roundoff error are compared by testing them on high-order Störmer and summetric multistep methods. The best technique for most applications is to write the equation in summed, function-evaluation form and to store the coefficients as rational numbers. A larger error reduction can be achieved by writing the equation in backward-difference form and performing some of the additions in extended precision, but this entails a larger cpu cost. |
| |
Keywords: | Numerical integration multistep methods roundoff error |
本文献已被 SpringerLink 等数据库收录! |
|