Two New Kinds of Monte-Carlo Methods for Solving Numerical Integration

Zheng Hua-sheng · Shuxue de shijian yu renshi · 2010

Bases on the multi-interval partition of integral interval and obtaining point randomly in subinterval,we give two new kinds of Monte-Carlo methods—quasi-rectangleandquasi-trapeziamethods to calculate definite integral,and give the approximation order of them.Finally,we compare the results with other method and verify the high efficiency of the new methods through some munerical experiments.

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