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Cauchy Principal Value Contour Integral with Applications [PDF]
Entropy, 2017 Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity.
Matilde Legua, Luis M. Sánchez-Ruiz
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Spline approximation for Cauchy principal value integrals [PDF]
Journal of Computational and Applied Mathematics, 1990 The author considers the problem of numerical evaluation of Cauchy principal value integrals of the form \(I(f^{(k)};y)=\oint^{b}_{a}w(x)f^{(k)}(x)/(x-y)dx\quad (k=0,1,...).\) She examines quadrature rules of the form: \(I(f^{(k)};y)\approx I_ n(f^{(k)};y)=\sum^{n}_{i=0}w_ i^{(k)}(y)f(x_ i),\) where \(a=x_ ...
Palamara Orsi, Annamaria
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Numerical evaluation of a generalized Cauchy principal value [PDF]
Miskolc Mathematical Notes, 2000 Summary: A method is presented for the evaluation of a generalized Cauchy principal value of an improper integral. The integral is transformed into a Riemann integral which is evaluated using Romberg integration. This method is very convenient for computational purposes.
Nyíri, András, Baranyi, László
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An automatic quadrature for Cauchy principal value integrals [PDF]
Mathematics of Computation, 1991 An automatic quadrature is presented for computing Cauchy principal value integrals Q ( f ; c
Takemitsu Hasegawa, Tatsuo Torii
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Uniform convergence results for Cauchy principal value integrals [PDF]
Mathematics of Computation, 1991 A general uniform convergence theorem for numerical integration of Cauchy principal value integrals is proved. Seven special instances of this theorem are given as corollaries.
Philip Rabinowitz
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Fault Detection Approach of Cyclotron Ion Sources Based on KPCA-ISSA-SVM [PDF]
SensorsTo address the challenges of difficult feature extraction and suboptimal parameter configuration for cyclotron ion source fault diagnosis in complex environments, this study proposes an intelligent diagnostic framework integrating Kernel Principal ...
Yunlong Li +6 more
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On quadrature for Cauchy principal value integrals of oscillatory functions [PDF]
Journal of Computational and Applied Mathematics, 2003 Based on a quadrature suggested by \textit{G. E. Okecha} [Math. Comput. 49, 259--268 (1987; Zbl 0634.65013)] the authors deal with the numerical evaluation of Cauchy principal value integrals \[ H^\omega(g; t)= \lim_{\varepsilon\to 0^+}\,\int_{| x-t|\geq \varepsilon} {g(x)\over x- t} e^{i\omega x} \,dx\qquad (t\in (-1,1)).
M. R. CAPOBIANCO, CRISCUOLO, GIULIANA
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Extended Error Expansion of Classical Midpoint Rectangle Rule for Cauchy Principal Value Integrals on an Interval [PDF]
Journal of Mathematics, 2021 The classical composite midpoint rectangle rule for computing Cauchy principal value integrals on an interval is studied. By using a piecewise constant interpolant to approximate the density function, an extended error expansion and its corresponding ...
Chunxiao Yu, Lingling Wei
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A sinc-Hunter quadrature rule for Cauchy principal value integrals [PDF]
Mathematics of Computation, 1990 A Sinc function approach is used to derive a new Hunter type quadrature rule for the evaluation of Cauchy principal value integrals of certain analytic functions. Integration over a general arc in the complex plane is considered. Special treatment is given to integrals over the interval
Bernard Bialecki
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A stable Gauss-Kronrod algorithm for cauchy principal-value integrals [PDF]
Computers & Mathematics with Applications, 1986 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rabinowitz, P.
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