Estimating the frequency-domain computation time of extreme mass-ratio inspiral gravitational waveforms

We estimate the overall computation time for the frequency-domain calculation of gravitational-wave energy fluxes to infinity for extreme-mass-ratio inspiral binaries consisting of a compact object in orbit around a supermassive black hole on the latter's equatorial plane - an interesting source for LISA. We determine the number of $k$ modes necessary to achieve a desired accuracy for orbits of varying eccentricity. We then model the time required to calculate single $k$ modes and use this model to find the time it takes to sum over all the $k$ modes for a given accuracy level. Work to obtain models that also incorporate summing over multiple $m$ and $\ell$ modes is currently in progress. Our main goal is to eventually use our data to determine for what part of the parameter space the time-domain approach becomes more computationally efficient than the frequency-domain method.