Gauss type quadrature rules for Cauchy principal value integrals
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- by David Elliott and D. F. Paget PDF
- Math. Comp. 33 (1979), 301-309 Request permission
Abstract:
Two quadrature rules for the approximate evaluation of Cauchy principal value integrals, with nodes at the zeros of appropriate orthogonal polynomials, are discussed. An expression for the truncation error, in terms of higher order derivatives, is given for each rule. In addition, two theorems, containing sufficient conditions for the convergence of the sequence of quadrature rules to the integral, are proved.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 301-309
- MSC: Primary 65D32; Secondary 41A55
- DOI: https://doi.org/10.1090/S0025-5718-1979-0514825-2
- MathSciNet review: 514825