A Chebyshev-basis expansion reduces gravitational-wave fluxes from arbitrary-eccentricity bound Schwarzschild geodesics to sums of previously derived Keplerian Fourier coefficients, achieving 10^{-5} relative accuracy on total flux for tested orbits.
Munna, Analytic post-Newtonian expansion of the energy and angular momentum radiated to infinity by eccentric-orbit nonspinning extreme-mass-ratio inspirals to the 19th order, Phys
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A unified confluent HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over existing packages for low- and high-order modes.
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Analytical Fluxes from Generic Schwarzschild Geodesics
A Chebyshev-basis expansion reduces gravitational-wave fluxes from arbitrary-eccentricity bound Schwarzschild geodesics to sums of previously derived Keplerian Fourier coefficients, achieving 10^{-5} relative accuracy on total flux for tested orbits.
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Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework
A unified confluent HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over existing packages for low- and high-order modes.