Accurate and efficient gravitational waveforms for certain galactic compact binaries

Stellar-mass compact binaries in eccentric orbits are almost guaranteed sources of gravitational waves for the Laser Interferometer Space Antenna. We present a prescription to compute accurate and efficient gravitational-wave polarizations associated with bound compact binaries of arbitrary eccentricity and mass ratio moving in slowly precessing orbits. We compare our approach with those existing in the literature and present its advantages.