考虑一类随机泊松系统，称为随机Lotka-Volterra系统的保结构数值模拟。为该类系统提出一种随机泊松积分子，并证明了该积分子具有一阶均方收敛阶。数值实验对理论结果进行了验证。
In this paper, we consider the structure-preserving numerical simulation of a class of stochastic Poisson systems, i.e. the stochastic Lotka-Volterra systems. We propose a stochastic Poisson integrator for the systems which can preserve the Poisson structure and the Casimir functions of the systems, and prove that the numerical integrator has root mean-square convergence order 1. Numerical experiments are performed to verify the theoretical results.
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