Improvement of calculating triple integral based on Monte-Carlo algorithm
Manzhi Li, Hongtao Wang, Youjian Shen · 2010
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.