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Improvement of calculating triple integral based on Monte-Carlo algorithm

机译:基于蒙特卡洛算法的三重积分计算的改进

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The basic principle of triple integral is solved by Monte-Carlo method, and it is given the numerical simulation. Based on the averaged-value method, it puts forward that the uniform distribution should be combined with volume of the integral region to improve algorithm, the special cuboid integral region is extended to the general integral region. Example shows that improved algorithm simplifies the calculation process, effectively reduces the computational difficulty, improves the simulation accuracy and computational efficiency. The procedure is simple and easy to debug. Improved algorithm is simple and effective to the triple integral calculation, and so it is more practical.
机译:通过蒙特卡洛方法解决了三重积分的基本原理,并进行了数值模拟。基于均值法,提出将均匀分布与积分区域的体积相结合来改进算法,将特殊的长方体积分区域扩展到通用积分区域。实例表明,改进后的算法简化了计算过程,有效降低了计算难度,提高了仿真精度和计算效率。该过程简单且易于调试。改进算法对三重积分计算简单有效,因此更加实用。

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