Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals [PDF]
Journal of Computational and Applied Mathematics, 1998 We consider interpolatory type integration rules for the numerical approximation of certain 2D Cauchy Principal Value integrals, based on tensor product of nodal splines.We present convergence results which generalize those known in one-dimensional ...
Catterina Dagnino
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Quadrature formulas for cauchy principal value integrals
Computing, 1975Quadrature 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 $$\int\limits_{ - 1}^1 {(x - a)^{ - 1} } f(x) dx, - 1< a< 1$$ .
M. M. Chawla, N. Jayarajan
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On the Convergence of Product Formulas for the Numerical Evaluation of Derivatives of Cauchy Principal Value Integrals [PDF]
SIAM Journal on Numerical Analysis, 1988 : Product rules of interpolatory type on the zeros of generalized smooth Jacobi polynomials for the numerical approximation of Cauchy principal value integrals and their derivatives are considered.
Giuliana Criscuolo +1 more
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Numerical determination of Cauchy principal value integrals
Computing, 1981A quadrature rule for numerical evaluation of Cauchy principal value integrals of the type $$\int\limits_{ - 1}^1 {f(x)/(x - a) dx} $$ where ...
B. P. Acharya, Rabindranath Das
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Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals [PDF]
Journal of Computational and Applied Mathematics, 1994 For the numerical evaluation of Cauchy principal value integrals of the form , λε(−1, 1), f εCs[− 1, 1], we consider a quadrature method based on spline interpolation of odd degree 2k + 1,k ∈N0. We show that these rules converge uniformly for λ ∈ (− 1, 1)
Kai Diethelm
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Convergence of quadratures for Cauchy principal value integrals
Computing, 1979Quadrature formulas based on the “practical” abscissasx k=cos(k π/n),k=0(1)n, are obtained for the numerical evaluation of the weighted Cauchy principal value integrals $$\mathop {\rlap{--} \smallint }\limits_{ - 1}^1 (1 - x)^\alpha (1 + x)^\beta (f(x))/(x - a)){\rm E}dx,$$
M. M. Chawla, Sheo Kumar
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On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines [PDF]
Journal of Computational and Applied Mathematics, 1996 In this paper we consider the numerical evaluation of one-dimensional Cauchy principal value integrals of the form ∫−11k(x)f(x)x−λdx ...
Santi, E.
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Regularity of the Cauchy principal value of the local times of some Lévy processes [PDF]
Bulletin Des Sciences Mathematiques, 1999 The Cauchy principal value C of the local times of a recurrent Lévy process with no negative jumps is constructed under minimal hypotheses. We establish the continuity of the sample paths of C and specify the real numbers p > 1 for which C has bounded p ...
Jean Bertoin +3 more
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Numerical computation of complex Cauchy principal value integrals
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. M. Nayak, Milu Acharya, B. P. Acharya
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Numerical computation of complex cauchy principal value integrals
International Journal of Computer Mathematics, 1992Rules for the numerical evaluation of complex Cauchy principal value integrals involving an analytic function have been constructed. The rules have been shown to be more accurate and general than the existing ones.
B. P. Acharya, T. Mohapatra
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