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复杂区域上高维积分的Monte Carlo方法
引用本文:任浩林,袁永生,王启明. 复杂区域上高维积分的Monte Carlo方法[J]. 太原师范学院学报(自然科学版), 2005, 4(4): 26-29
作者姓名:任浩林  袁永生  王启明
作者单位:河海大学理学院,江苏,南京,210098
摘    要:
讨论了MonteCarlo方法求多重定积分近似值的原理,系统分析了当被积区域D为各类复杂不规则时,用MonteCarlo方法求k重定积分近似值的具体算法及相关收敛性,最后给出了具体算例.

关 键 词:Monte Carlo方法 高维积分 数学期望
文章编号:1672-2027(2005)04-0026-04
收稿时间:2005-10-25
修稿时间:2005-10-25

On the Calculation of Higher Dimensional Integration With Complicated Curved Polyhedron Domain by Monte Carlo Method
Ren Haolin,Yuan Yongsheng,Wang Qiming. On the Calculation of Higher Dimensional Integration With Complicated Curved Polyhedron Domain by Monte Carlo Method[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2005, 4(4): 26-29
Authors:Ren Haolin  Yuan Yongsheng  Wang Qiming
Abstract:
The principle of complicated curved polyhedron, we and its converge level. Finally, the the Monte Carlo integration is showed. When the give the Monte Carlo algorithm of k-dimensional method is tested by examples. domain is integration
Keywords:Monte Carlo method  high dimensional integration: expectation  
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