【摘要】 论文讨论了数学中常见的定积分、级数以及方程组问题的蒙特卡罗计算方法。通过建立概率统计模型、抽样产生随机样本进而获得确定性问题的蒙特卡罗方法估计值。三个数值算例直观展现了蒙特卡罗方法处理问题的一般思路,为该方法在复杂问题中的应用提供了简单明了的参考。更多还原

【Abstract】 In this paper,Monte Carlo method is discussed and used to deal with some mathematical problems about common definite integrals,series and system of equations. Estimated values based on Monte Carlo method can be achieved by constructing probability and statistics models and sampling for random samples. Intuitively,three numerical examples are solved to indicate the general ideas of Monte Carlo method. These provide some simple and explicit references for applying this method to complex problems.更多还原