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 & X. L. Zhang. (1970). 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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