利用Padé近似，得到线性随机泊松系统的一类随机泊松积分子。证明数值格式的均方收敛阶，及其对泊松结构和Casimir函数的保持。数值实验验证了数值格式的均方收敛阶及保结构特性。
We propose a class of stochastic Poisson integrators based on Padé approximations for linear stochastic Poisson systems. The root mean-square convergence orders of the schemes are analyzed, and the structure preserving properties are investigated. Numerical tests are performed to verify the theoretical results and illustrate the numerical behavior of the proposed methods.
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