| 蒙特卡罗方法在无穷级数中的应用 |
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| 引用本文： | 柴中林. 蒙特卡罗方法在无穷级数中的应用[J]. 中国计量学院学报, 2007, 18(3): 257-260 |
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| 作者姓名： | 柴中林 |
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| 作者单位： | 中国计量学院,理学院,浙江,杭州,310018 |
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| 摘 要： | 将蒙特卡罗方法应用到无穷级数中去,证明了蒙特卡罗方法可以求收敛的无穷级数的和,也可以一定程度上判断无穷级数的敛散性.此外,通过模拟对随机变量及其参数的选择进行了讨论.
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| 关 键 词： | 蒙特卡罗方法 无穷级数 大数定律 |
| 文章编号： | 1004-1540（2007）03-0257-04 |
| 修稿时间： | 2007-06-21 |
Application of Monte Carlo method to infinite series |
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| CHAI Zhong-lin. Application of Monte Carlo method to infinite series[J]. Journal of China Jiliang University, 2007, 18(3): 257-260 |
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| Authors: | CHAI Zhong-lin |
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| Affiliation: | College of Sciences, China Jiliang University, Hangzhou 310018, China |
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| Abstract: | The Monte Carlo method was used to infinite series. It proves that the Monte Carlo method can be used to acquire the sum of convergence infinite series. It also can be used to judge the convergence or divergence of infinite series to some degree. Moreover, this paper discusses ways to select random variables and parameters to improve calculation results. |
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| Keywords: | Monte Carlo method infinite series laws of large numbers |
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