The quadrature formulae of Chawla & Jayarajan (1975) have been extended in a simple manner for the numerical evaluation of the weighted Cauchy principal value integrals I (l-xf(\-XY(J\x)/(x-a))dx, where a,/?> — 1 and a e (—1,1). The present quadrature formulae give better approximate values for Cauchy principal value integrals than those in Chawla & Kumar (1979), and may also be used for the numerical evaluation of proper integrals j: (l-xf(l+xff(x)dx. 1
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The authors develop an algorithm for the numerical evaluation of the finite Hilbert transform, with ...
AbstractFor the numerical approximation of Cauchy principal value integrals, we consider the so-call...
AbstractA method to evaluate principal parts (Hilbert transforms) is presented. It is based on a mod...
Abstract: The authors develop an algorithm for the numerical evaluation of the finite Hilbert transf...
AbstractWe consider quadrature formulas for the numerical evaluation, with error estimate, of integr...
Abstract: The authors develop an algorithm for the numerical evaluation of Cauchy principal value in...
This paper presents a new interpolatory type quadrature rule for approximating the weighted Cauchy p...
AbstractThe problem of the numerical evaluation of Cauchy principal value integrals of oscillatory f...
Two different not classical approaches are given for the numerical evaluation of weighted Cauchy pri...
Abstract: In a previous paper the authors proposed a modified Gaussian rule * m (wf;t)to compute th...
Abstract: In this paper the authors examine the convergence of an interpolatory type quadrature rul...
AbstractIn this paper we prove the uniform convergence of some quadrature formulas based on spline a...
Abstract Si dimostra un teorema di convergenza relativo a formule di quadratura di tipo gaussiano ...
For the numerical approximation of Cauchy principal value integrals, we consider so-called modified ...
Abstract: An algorithm for the approximate evaluation of integrals defined by Cauchy principal value...
The authors develop an algorithm for the numerical evaluation of the finite Hilbert transform, with ...
AbstractFor the numerical approximation of Cauchy principal value integrals, we consider the so-call...
AbstractA method to evaluate principal parts (Hilbert transforms) is presented. It is based on a mod...
Abstract: The authors develop an algorithm for the numerical evaluation of the finite Hilbert transf...
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