On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines

Abstract In this paper we consider the numerical evaluation of one-dimensional Cauchy principal value integrals of the form ∫ −1 1 k(x) f(x) x−λ d x,−1 by rules obtained by subtracting out the singularity and then applying quadrature formulas based on quasi-interpolating splines.

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