中国科学院大学学报2024，Vol.41Issue(3)：298-305,8.DOI:10.7523/j.ucas.2022.015
一类随机泊松系统的保结构数值方法
Structure-preserving numerical method for a class of stochastic Poisson systems
摘要
Abstract
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.关键词
随机泊松系统/Lotka-Volterra 系统/Stratonovich 型随机微分方程/Poisson 结构/Casimir函数Key words
stochastic Poisson systems/Lotka-Volterra systems/Stratonovich SDEs/Poisson structure/Casimir functions分类
数理科学引用本文复制引用
刘倩倩,王丽瑾..一类随机泊松系统的保结构数值方法[J].中国科学院大学学报,2024,41(3):298-305,8.基金项目
Supported by the National Natural Science Foundation of China(11971458,11471310,11071251) （11971458,11471310,11071251）
