Solving Numerical Integration Based on Evolution Strategy Method
Yongquan Zhou, Ming ZHANG, Bin Zhao · Chinese Journal of Computers · 2009
In this paper,two new kinds of calculating numerical integration methods based on evolution strategy algorithm are proposed.One of which is based on mixing basis function evolution strategies for solving numerical integration,and the other is based on inequality point's segmentation for solving numerical integration.Both of these two algorithms adopt single-gene mutation evolution strategies that suit for high dimensional optimization,which can not only compute usual definite integral for any functions,but also compute singular integral and oscillatory integral.Finally,several experimental results show that the two proposed numerical integration methods are more efficient and feasible in computing the arbitrary functions numerical integration compared with traditional numerical integration methods.