215 citations · 509 across the 13 of their papers we have counts for
3 papers · 1 filter
Newton vs the machine: solving the chaotic three-body problem using deep neural networks
Philip G. Breen, Christopher N. Foley, Tjarda Boekholt +1
Since its formulation by Sir Isaac Newton, the problem of solving the equations of motion for three bodies under their own gravitational force has remained practically unsolved. Cu…
A Bulirsch-Stoer algorithm using Gaussian processes
Philip G. Breen, Christopher N. Foley
In this paper, we treat the problem of evaluating the asymptotic error in a numerical integration scheme as one with inherent uncertainty. Adding to the growing field of probabilis…
Mapping the stability of stellar rotating spheres via linear response theory
Simon Rozier, Jean-Baptiste Fouvry, Philip G. Breen +3
Rotation is ubiquitous in the Universe, and recent kinematic surveys have shown that early type galaxies and globular clusters are no exception. Yet the linear response of spheroid…