215 citations · 509 across the 13 of their papers we have counts for
13 papers
Black Box Probabilistic Numerics
Onur Teymur, Christopher N. Foley, Philip G. Breen +2
Probabilistic numerics casts numerical tasks, such the numerical solution of differential equations, as inference problems to be solved. One approach is to model the unknown quanti…
The Kinematic Richness of Star Clusters - II. Stability of Spherical Anisotropic Models with Rotation
Philip G. Breen, Simon Rozier, Douglas C. Heggie +1
We study the bar instability in collisionless, rotating, anisotropic, stellar systems, using N-body simulations and also the matrix technique for calculation of modes with the pert…
: Weinberg's weakly damped mode in an -body model of a spherical stellar system
Douglas C. Heggie, Philip G. Breen, Anna Lisa Varri
Spherical stellar systems such as King models, in which the distribution function is a decreasing function of energy and depends on no other invariant, are stable in the sense of c…
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…