汪楠. 基于Monte Carlo方法计算积分的研究[J]. 南昌航空大学学报(自然科学版), 2021, 35(3): 49-52. DOI: 10.3969/j.issn.2096-8566.2021.03.008
引用本文: 汪楠. 基于Monte Carlo方法计算积分的研究[J]. 南昌航空大学学报(自然科学版), 2021, 35(3): 49-52. DOI: 10.3969/j.issn.2096-8566.2021.03.008
Nan WANG. Research on Integral Calculation Based on Monte Carlo Method[J]. Journal of nanchang hangkong university(Natural science edition), 2021, 35(3): 49-52. DOI: 10.3969/j.issn.2096-8566.2021.03.008
Citation: Nan WANG. Research on Integral Calculation Based on Monte Carlo Method[J]. Journal of nanchang hangkong university(Natural science edition), 2021, 35(3): 49-52. DOI: 10.3969/j.issn.2096-8566.2021.03.008

基于Monte Carlo方法计算积分的研究

Research on Integral Calculation Based on Monte Carlo Method

  • 摘要: 积分是微积分知识的一个重要知识点,积分变化形式多样,对于被积函数是非初等函数的积分,很难直接求解。为求解一些复杂函数的积分,本文研究了Monte Carlo计算积分的方法,蒙特卡罗方法是通过计算机模拟产生随机数,利用概率分布将数据模拟出来,从而建立相应的模型来处理相关问题。本文采用Monte Carlo方法对定积分和二重积分的计算进行研究,通过计算机编程,可以求解一些复杂的积分。

     

    Abstract: Integral is an important knowledge point of calculus knowledge. The integral has various forms. It is difficult to solve the integral whose integrand function is a non elementary function directly. In order to solve the integral of some complex functions, this paper studies the method of Monte Carlo to calculate the integral. Monte Carlo method generates random numbers through computer simulation, and uses probability distribution to simulate the data, so as to establish corresponding models to deal with relevant problems. In this paper, the calculation of definite integral and double integral is studied by Monte Carlo method. Some complex integrals can be solved by computer programming.

     

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