## State-dependent symplecticity and area preserving numerical methods

- Felice Iavernaroa, Donato Trigianteb
- 2007

This paper studies multistep methods for the integration of reversible dynamical systems, with particular emphasis on the planar Kepler problem. It has previously been shown by Cano & Sanz-Serna that reversible linear multisteps for first-order differential equations are generally unstable. Here, we report on a subset of these methods – the zero-growth… (More)