一种基于Monte-Carlo方法计算数学常数e值的算法

摘要

Monte-Carlo方法是一种以概率统计理论为指导的非常重要的数值计算方法,基于Monte-Carlo方法计算定积分的算法是较常见定积分近似计算方法.本文针对计算数学常数e(自然对数的底)值的问题,选择一个特殊定积分分别用Monte-Carlo方法和Newton-Leibniz公式进行计算,通过对这两个计算结果进行比较分析,从中得到数学常数e计算方法.实验结果表明,该算法具有实效性,且有较好的准确率和时间效率.%Monte-Carlo method is a very important numerical method guided by a statistical probability theory. The algorithm based on Monte-Carlo method to calculate the definite integral is the more common method of approximate calculation of definite integrals. To the problem about calculating the value of the mathematical constant "e" (natural logarithm) , the paper uses arnmethod to select a special set points and uses Monte-Carlo method and the Newton-Leibniz formula to calculate "e" in order to get the algorithm on the mathematical constant "e". The result shows that the algorithm is effective and is of better accuracy and timernefficiency.