Quadrature formulas for cauchy principal value integrals

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1975 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 15, pages 347-355 (issn: 0010-485X, eissn: 1436-5057,

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Authors: M. M. Chawla; N. Jayarajan;

doi: 10.1007/bf02260318

Quadrature formulas for cauchy principal value integrals

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Abstract

Quadrature formulas of the Clenshaw-Curtis type, based on the “practical” abscissasx k=cos(kπ/n),k=0(1)n, are obtained for the numerical evaluation of Cauchy principal value integrals $$\int\limits_{ - 1}^1 {(x - a)^{ - 1} } f(x) dx, - 1< a< 1$$ .

Related Organizations

Indian Institutes of Technology
India

Keywords

Numerical integration, Integral equations with kernels of Cauchy type

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