Modified Monte Carlo Method for Triple Integral

摘要

In order to calculate triple integral problem, Monte Carlo method is used in this paper. By introducing n random points from the right area V, traditional algorithm was changed to select points directly from the integral region O. The principle and realization steps of modified algorithm were shown. Using this method, m random numbers could be generated, and it is obey approximately uniform distribution in O. At last, an actual case shows that this algorithm is prior and the distribution of integral values obtained by modified method conforms to central limit theorem. All these can be proved by experimental data and the fitting curve.