All linearly damped Newton equations of a certain broad class are shown to fit a contact-geometry framework, which yields new higher-order geometric integrators with derived error estimates, tested on Kepler, spin-orbit, and Lane-Emden problems.
Contact geometry and thermodynamics
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Numerical integration in celestial mechanics: a case for contact geometry
All linearly damped Newton equations of a certain broad class are shown to fit a contact-geometry framework, which yields new higher-order geometric integrators with derived error estimates, tested on Kepler, spin-orbit, and Lane-Emden problems.