  We present a loosely coupled, non-iterative time-splitting scheme based on
Robin-Robin coupling conditions. We apply a novel unified analysis for this
scheme applied to both a Parabolic/Parabolic coupled system and a
Parabolic/Hyperbolic coupled system. We show for both systems that the scheme
is stable, and the error converges as $\mathcal{O}\big(\Delta t \sqrt{T
+\log{\frac{1}{\Delta t}}}\big)$, where $\Delta t$ is the time step
