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Volume 16, Issue 4
Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals

Renhong Wang & You Lu

J. Comp. Math., 16 (1998), pp. 337-344.

Published online: 1998-08

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  • Abstract

The purpose of this paper is to propose and study a class of quasi-interpolating operators in multivariate spline space $S_2^1 (\Delta_{mn}^{2*})$ on non-uniform type-2 triangulation. Based on the operators, we construct cubature formula for two-dimensional hypersingular integrals. Some computing work have been done and the results are quite satisfactory.

  • Keywords

Hypersingular integral, finite-part integral, quasi-interpolating operator, non-uniform type-2 triangulation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-337, author = {Wang , Renhong and Lu , You}, title = {Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {4}, pages = {337--344}, abstract = {

The purpose of this paper is to propose and study a class of quasi-interpolating operators in multivariate spline space $S_2^1 (\Delta_{mn}^{2*})$ on non-uniform type-2 triangulation. Based on the operators, we construct cubature formula for two-dimensional hypersingular integrals. Some computing work have been done and the results are quite satisfactory.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9164.html} }
TY - JOUR T1 - Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals AU - Wang , Renhong AU - Lu , You JO - Journal of Computational Mathematics VL - 4 SP - 337 EP - 344 PY - 1998 DA - 1998/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9164.html KW - Hypersingular integral, finite-part integral, quasi-interpolating operator, non-uniform type-2 triangulation. AB -

The purpose of this paper is to propose and study a class of quasi-interpolating operators in multivariate spline space $S_2^1 (\Delta_{mn}^{2*})$ on non-uniform type-2 triangulation. Based on the operators, we construct cubature formula for two-dimensional hypersingular integrals. Some computing work have been done and the results are quite satisfactory.

Wang , Renhong and Lu , You. (1998). Quasi-Interpolating Operators and Their Applications in Hypersingular Integrals. Journal of Computational Mathematics. 16 (4). 337-344. doi:
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