102 citations · 534 across the 14 of their papers we have counts for
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math.NA2017★ 12 cited
Runge-Kutta-Gegenbauer explicit methods for advection-diffusion problems
Stephen O'Sullivan
In this paper, Runge-Kutta-Gegenbauer (RKG) stability polynomials of arbitrarily high order of accuracy are introduced in closed form. The stability domain of RKG polynomials exten…
gr-qc2017★ 3 cited
Strong-field tidal distortions of rotating black holes: III. Embeddings in hyperbolic 3-space
Robert F. Penna, Scott A. Hughes, Stephen O'Sullivan
In previous work, we developed tools for quantifying the tidal distortion of a black hole's event horizon due to an orbiting companion. These tools use techniques which require lar…
math.NA2017★ 4 cited
Factorized Runge-Kutta-Chebyshev Methods
Stephen O'Sullivan
The second-order extended stability Factorized Runge-Kutta-Chebyshev (FRKC2) class of explicit schemes for the integration of large systems of PDEs with diffusive terms is presente…