| Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators |
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| 作者姓名： | Renhong Wang Xiaolei Zhang |
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| 作者单位： | Renhong Wang (Institute of Mathematical Sciences，Dalian University of Technology，Dalian 116024，China) Xiaolei Zhang~* (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) |
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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.
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| 关 键 词： | S~2_4(Δ~((2))_(mn)) quasi-interpolation operators singular integrals. |
| 修稿时间： | 2006-10-172006-11-08 |
Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators |
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| Renhong Wang Xiaolei Zhang.Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(3):226-232. |
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| Authors: | Renhong Wang Xiaolei Zhang |
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| Abstract: | 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. |
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| Keywords: | S24(△(2)mn) quasi-interpolation operators singular integrals |
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