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Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators

Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators
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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.
基金 This project was supported by the National Natural Science Foundation of China (No. 60373093, No. 60533060).
关键词 数值积分 双元四次拟插值算子 奇异积分 插值法 S4^2(△nm^(2)) quasi-interpolation operators singular integrals.
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