The dynamical systems approach to numerical integration
Abstract
The dynamical systems approach to numerical integration is reviewed and extended. The new method is compared to some alternative methods based on the Lie series approach. The test problem is the motion of the outer planets. The algorithms developed using the dynamical systems approach perform well.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- March 2018
- DOI:
- Bibcode:
- 2018MNRAS.474.3273W
- Keywords:
-
- gravitation;
- methods: numerical;
- planets and satellites: dynamical evolution and stability
