In this paper, we study the numerical method for approximating the random periodic solution of semiliear stochastic evolution equations. The main challenge lies in proving a convergence over an infinite time horizon while simulating infinite-dimensional objects. We propose a Galerkin-type exponential integrator scheme and establish its convergence rate of the strong error to the mild solution.

翻译：在本文中,我们研究了接近半利亚尔随机的半随机随机周期进化公式解决方案的数值方法。主要挑战在于证明在无限时间跨度上的趋同,同时模拟无限天体。我们提出了一个Galerkin型指数集成器计划,并确定其与温度溶解的强差的趋同率。