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The sensitivity of ongoing searches for gravitational wave (GW) sources inthe ultra-low frequency regime ($10^{-9}$ Hz to $10^{-7}$ Hz) using PulsarTiming Arrays (PTAs) will continue to increase in the future as more well-timedpulsars are added to the arrays. It is expected that next-generation radiotelescopes, namely, the Five-hundred-meter Aperture Spherical radio Telescope(FAST) and the Square Kilometer Array (SKA), will grow the number of well-timedpulsars to $O(10^3)$. The higher sensitivity will result in greater distancereach for GW sources, uncovering multiple resolvable GW sources in addition toan unresolved population. Data analysis techniques are, therefore, requiredthat can search for and resolve multiple signals present simultaneously in PTAdata. The multisource resolution problem in PTA data analysis poses a uniqueset of challenges such as non-uniformly sampled data, a large number ofso-called pulsar phase parameters that arise from the inaccurately measureddistances to the pulsars, and poor separation of signals in the Fourier domaindue to a small number of cycles in the observed waveforms.

Iterative time-domain method for resolving multiple gravitational wave sources in Pulsar Timing Array data