The truncated Milstein method, which was initially proposed in (Guo, Liu, Mao and Yue 2018), is extended to the non-autonomous stochastic differential equations with the super-linear state variable and the H\"older continuous time variable. The convergence rate is proved. Compared with the initial work, the requirements on the step-size is also significantly released. In addition, the technique of the randomized step-size is employed to raise the convergence rate of the truncated Milstein method.

翻译：最初在Guo、Liu、Mao和Yue 2018年提出的速成Milstein方法,已扩大到非自主的随机切分方程式,包括超级线性状态变量和H\"老的连续时间变量。 聚合率得到证明。 与初始工程相比,继子尺寸要求也大为放宽。 此外,随机定级阶尺技术还用于提高短速Milstein方法的趋同率。