Graphics processing unit implementation of the F -statistic for continuous gravitational wave searches

The $\mathcal{F}$-statistic is a detection statistic used widely in searches for continuous gravitational waves with terrestrial, long-baseline interferometers. A new implementation of the presented which accelerates existing "resampling" algorithm using graphics processing units (GPUs). runs between 10 and 100 times faster than on central without sacrificing numerical accuracy. utility GPU demonstrated pilot narrowband search four newly discovered millisecond pulsars globular cluster Omega Centauri data from second Laser Interferometer Gravitational-Wave Observatory observing run. computational cost $17.2$ GPU-hours implementation, compared to 1092 core-hours implementation.