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Local averaged path integration method approach for nonlinear dynamic systems
文献类型:期刊
作者:Ren, Zhicong[1]  Xu, Wei[2]  Qiao, Yan[3]  
机构:[1]Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China.;
[2]Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China.;
[3]Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China.;
通讯作者:Xu, W (reprint author), Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China.
年:2019
期刊名称:APPLIED MATHEMATICS AND COMPUTATION影响因子和分区
卷:344
期:1
页码范围:68-77
增刊:正刊
学科:数学
收录情况:SCI(E)  
所属部门:理学院
重要成果类型:重要期刊
人气指数:33
浏览次数:33
基金:National Natural Science Foundation of China [11532011, 11472212]
关键词:LAPI; GLPI; Time step; Space subdivision degree; Further space subdivision degree; Evolution of the PDF
摘要:
Traditional path integration method always has a limited time step length, whose minimum is based on the subdivision degree of integral space. In order to numerically analyze a smaller time step probability evolution without significant increase in computing time, a new local averaged path integration (LAPI) method is investigated. The basic idea of this method is giving a local averaged value of transition probability density function (TPDF). Then the numerical integration of Chapman-Kolmogorov ...More
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