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

翻译：我们提出了一个基于罗宾-罗宾-罗宾的混合条件的松散、非时间分割计划。我们对这一计划采用了一种新的统一分析,既适用于parablic/parablic结合系统和parablic/Hyperbolic结合系统。我们向两个系统表明,该计划是稳定的,错误的汇合值为$\mathcal{O ⁇ big(\ Delta t\ sqrt{T\log_frac{1\\\\\Delta t ⁇ big)$($Delta t$)是时间步骤