Integrating Post-Newtonian Equations on Graphics Processing Units

Frank Herrmann, John Silberholz, Matias Bellone, Gustavo Guerberoff, Manuel Tiglio
Department of Physics, Center for Fundamental Physics, and Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park, MD 20742, USA
Classical and Quantum Gravity, Volume 27, Issue 3, pp. 032001, arXiv:0908.3889v2 [gr-qc] (27 Aug 2009)


   title={Integrating post-Newtonian equations on graphics processing units},

   author={Herrmann, F. and Silberholz, J. and Bellone, M. and Guerberoff, G. and Tiglio, M.},

   journal={Classical and Quantum Gravity},




   publisher={IOP Publishing}


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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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