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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Gauss type quadrature rules for Cauchy principal value integrals


Authors: David Elliott and D. F. Paget
Journal: Math. Comp. 33 (1979), 301-309
MSC: Primary 65D32; Secondary 41A55
MathSciNet review: 514825
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1979-0514825-2
PII: S 0025-5718(1979)0514825-2
Article copyright: © Copyright 1979 American Mathematical Society