计算力学学报2016,Vol.33Issue(4):543-548,587,7.DOI:10.7511/jslx201604019
广义概率密度演化方程的再生核质点加密算法
The refined algorithm of generalized density evolution equation based on reproducing kernel particle method
摘要
Abstract
The response of dynamic systems can be approximated by the particle approximation or the reproducing kernel particle method.The refined algorithm of generalized density evolution equation is developed based on the reproducing kernel particle method.The steps of the refined algorithm are detailed in the paper.Through the system of a single degree of freedom as an example,the accuracy of the refined algorithm is investigated based on the PDFs of the response.Then through a stochastic sturcture of multi degrees of freedom as an example,the refined algorithm based on the reproducing kernel particle method can slove the nonlinear stochastic system.关键词
随机动力系统/概率密度/再生核质点法/加密算法Key words
stochastic dynamics system/probability density/reproducing kernel particle method/refined algorithm分类
数理科学引用本文复制引用
李杰,孙伟玲..广义概率密度演化方程的再生核质点加密算法[J].计算力学学报,2016,33(4):543-548,587,7.基金项目
国家自然科学基金重点(51538010)资助项目 (51538010)