An algorithm for the numerical resolution of a class of singular integral equations

DOI10.1216/jiea/1181075866zbMath0838.65133OpenAlexW2003979141MaRDI QIDQ1904062

Maria Rosaria Capobianco

Publication date: 3 June 1996

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075866

zbMATH Keywords

numerical examplesLagrange interpolationquadrature methodsingular integral equation of Cauchy typeintegral equations of Volterra typelogarithmic difference kernelsubstracting the singularity

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Cites Work

• Mean convergence of Hermite-Fejér interpolation
• On the convergence of the Gauss quadrature rules for Cauchy principal value integrals
• On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals
• Numerical analysis for integral and related operator equations.
• Uniform convergence of derivatives of Lagrange interpolation
• Some nodes matrices appearing in the numerical analysis for singular integral equations
• Convergence of Extended Lagrange Interpolation
• Rates of Convergence of Gaussian Quadrature for Singular Integrands
• Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen
• The Stability and the Convergence of a Collocation Method for a Class of Cauchy Singular Integral Equations
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