A simple quadrature-type method for the computation of real zeros of analytic functions in finite intervals

DOI10.1007/BF01935001zbMath0568.65028OpenAlexW2068608910MaRDI QIDQ1060537

E. G. Anastasselou, Nikolaos I. Ioakimidis

Publication date: 1985

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01935001

zbMATH Keywords

convergencezeros of analytic functionsGaussNumerical resultsCauchy type principal value integralsLobatto-Chebyshev

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

An elementary noniterative quadrature-type method for the numerical solution of a nonlinear equation

Cites Work

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• Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals
• Error Estimates for Gauss Quadrature Formulas for Analytic Functions
• Error Bounds for the Gauss-Chebyshev Quadrature Formula of the Closed Type
• Estimating Gauss–Chebyshev Quadrature Errors
• The “Pegasus” method for computing the root of an equation

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