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

DOI10.1007/BF02252519zbMath0589.65039OpenAlexW357729590MaRDI QIDQ1074307

E. G. Anastasselou, Nikolaos I. Ioakimidis

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252519

zbMATH Keywords

convergencezerostranscendental equationsnonlinear algebraic equationCauchy-type principal value integralsGauss- andLobatto- Chebyshev quadrature rules

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Numerical computation of solutions to single equations (65H05) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Application of the Cauchy theorem to the location of zeros of sectionally analytic functions
• A simple quadrature-type method for the computation of real zeros of analytic functions in finite intervals
• A new simple method for the analytical solution of Kepler's equation
• Application of the gaus quadrature rule to the numberical solution of nonlinear equations
• Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals
• Error Bounds for the Gauss-Chebyshev Quadrature Formula of the Closed Type
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