Volume 16, Issue 3
Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators

R. H. Wang & X. L. Zhang

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 226-232

Published online: 2007-08

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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 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.
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@Article{NM-16-226, author = { R. H. Wang and X. L. Zhang}, title = {Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {3}, pages = {226--232}, 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 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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8056.html} }
TY - JOUR T1 - Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators AU - R. H. Wang & X. L. Zhang JO - Numerical Mathematics, a Journal of Chinese Universities VL - 3 SP - 226 EP - 232 PY - 2007 DA - 2007/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8056.html KW - AB - 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.
R. H. Wang and X. L. Zhang. (2007). Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators. Numerical Mathematics, a Journal of Chinese Universities. 16 (3). 226-232. doi:
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