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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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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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Evaluation of Cauchy principal value integrals of oscillatory kind
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianbing Li 0002 +2 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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Numerical evaluation of two-dimensional 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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Fast Integration for Cauchy Principal Value Integrals of Oscillatory Kind
Acta Applicandae Mathematicae, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Complex Gauss-Kronrod integration rules for certain Cauchy principal value integrals
Computing, 1993The authors discuss the problem of numerical evaluation of Cauchy principal value integrals. Their approach is novel because they consider using integrand values at complex points taken from a circular arc outside of the real integration interval. Previously published methods have mostly used points from within the integration interval.
Franca Caliò, Elena Marchetti
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Sinc Quadratures for Cauchy Principal Value Integrals
1992Three types of SINC quadratures are surveyed for the evaluation of Cauchy principal value integrals ∫Γ F(t)dt/(t –x), x ∈ Γ, where Γ is an arc in the complex plane. Under suitable assumptions on F, the quadrature errors are of order , where N is the number of quadrature nodes and c is a positive constant independent of N. Special consideration is given
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Cauchy principal value integral using hybrid integral
ACM SIGSAM Bulletin, 1997Hiroshi Kai, Matu-Tarow Noda
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