Calculation on singular integral with Cauchy kernel of anti-Gaussian quadrature formulae

Hanyan Li; Yanduo Zhang

doi:10.1117/12.2631133

18 March 2022 Calculation on singular integral with Cauchy kernel of anti-Gaussian quadrature formulae

Hanyan Li, Yanduo Zhang

Proceedings Volume 12168, International Conference on Computer Graphics, Artificial Intelligence, and Data Processing (ICCAID 2021); 1216829 (2022) https://doi.org/10.1117/12.2631133
Event: International Conference on Computer Graphics, Artificial Intelligence, and Data Processing (ICCAID 2021), 2021, Harbin, China

Abstract

In order to discuss the error estimation of singular integral quadrature formulae, we construct new quadrature formulae with the anti-Gaussian quadrature, and the accuracy and remainder expression of quadrature formulae are given. The quadrature formulae are superior to the Gauss-Kronrod quadrature formulae in estimating the error.

Citation Download Citation

Hanyan Li and Yanduo Zhang "Calculation on singular integral with Cauchy kernel of anti-Gaussian quadrature formulae", Proc. SPIE 12168, International Conference on Computer Graphics, Artificial Intelligence, and Data Processing (ICCAID 2021), 1216829 (18 March 2022); https://doi.org/10.1117/12.2631133

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