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广义概率密度演化方程的再生核质点加密算法

李杰 孙伟玲

计算力学学报2016,Vol.33Issue(4):543-548,587,7.
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

李杰 1孙伟玲1

作者信息

  • 1. 同济大学 土木工程学院,上海 200092
  • 折叠

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)

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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