Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators  

作　　者：Renhong Wang Xiaolei Zhang 

机构地区：[1]Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China [2]Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China and Department of Applied Mathematics, Changchun University of Science and Technology, Changchun 130022, China

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2007年第3期226-232,共7页

基　　金：This project was supported by the National Natural Science Foundation of China （No. 60373093, No. 60533060）.

摘　　要：In this paper,we propose a method to deal with numerical integral by using two kinds of C^2 quasi-interpolation operators on the bivariate spline space,and also dis- cuss the convergence properties and error estimates.Moreover,the proposed method is applied to the numerical evaluation of 2-D singular integrals.Numerical exper- iments will be carried out and the results will be compared with some previously published results.In this paper, we propose a method to deal with numerical integral by using two kinds of C^2 quasi-interpolation operators on the bivariate spline space, and also discuss the convergence properties and error estimates. Moreover, the proposed method is applied to the numerical evaluation of 2-D singular integrals. Numerical experiments will be carried out and the results will be compared with some previously published results.

关 键 词：数值积分 双元四次拟插值算子 奇异积分 插值法 

分 类 号：O241.3[理学—计算数学]