Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

DOI10.1016/j.amc.2015.04.066zbMath1410.65072OpenAlexW257936753MaRDI QIDQ1663582

D. M. Akhmedov, Abdullo Rakhmonovich Hayotov, Kholmat Mahkambaevich Shadimetov

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.066

zbMATH Keywords

Sobolev spaceoptimal quadrature formulasingular integral of the Cauchy type

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (7)

Approximate solution of a singular integral equation using the Sobolev method ⋮ Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space ⋮ Implicit upwind difference scheme for a symmetric \(t\)-hyperbolic system with variable coefficients and lowest terms ⋮ Optimal quadrature formulas with derivatives for Cauchy type singular integrals ⋮ Optimal difference formulas in the Sobolev space ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics ⋮ On an optimal quadrature formula for approximation of Fourier integrals in the space \(L_2^{( 1 )}\)

Cites Work

• On optimal quadrature formulae
• Numerical evaluation for Cauchy type singular integrals on the interval
• Best Approximate Integration Formulas; Best Approximation Formulas
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