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Integrating Post-Newtonian Equations on Graphics Processing Units

General Relativity and Quantum Cosmology 2016-09-08 v2 Cosmology and Nongalactic Astrophysics Earth and Planetary Astrophysics Astrophysics of Galaxies High Energy Astrophysical Phenomena Instrumentation and Methods for Astrophysics Solar and Stellar Astrophysics Distributed, Parallel, and Cluster Computing Graphics Performance

Abstract

We report on early results of a numerical and statistical study of binary black hole inspirals. The two black holes are evolved using post-Newtonian approximations starting with initially randomly distributed spin vectors. We characterize certain aspects of the distribution shortly before merger. In particular we note the uniform distribution of black hole spin vector dot products shortly before merger and a high correlation between the initial and final black hole spin vector dot products in the equal-mass, maximally spinning case. These simulations were performed on Graphics Processing Units, and we demonstrate a speed-up of a factor 50 over a more conventional CPU implementation.

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Cite

@article{arxiv.0908.3889,
  title  = {Integrating Post-Newtonian Equations on Graphics Processing Units},
  author = {Frank Herrmann and John Silberholz and Matias Bellone and Gustavo Guerberoff and Manuel Tiglio},
  journal= {arXiv preprint arXiv:0908.3889},
  year   = {2016}
}

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R2 v1 2026-06-21T13:39:20.071Z