On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind

DOI10.1007/BF01933588zbMath0426.65072OpenAlexW2001640463MaRDI QIDQ3862370

Nikolaos I. Ioakimidis, Pericles S. Theocaris

Publication date: 1980

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933588

zbMATH Keywords

convergencedirect methodsfirst kindCauchy type singular integral equationsGauss-Chebyshev or Lobatto-Chebyshev numerical integration

Mathematics Subject Classification ID

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

Related Items (15)

Recent developments in the numerical solution of singular integral equations ⋮ Numerical solution of singular integral equations via initial value methods ⋮ Hypersingular Integrals in Integral Equations and Inequalities: Fundamental Review Study ⋮ An iterative algorithm for the numerical solution of singular integral equations ⋮ On the existence of approximate solutions for singular integral equations of Cauchy type discretized by Gauss-Chebyshev quadrature formulae ⋮ A natural quadrature formula for the numerical evaluation of the MacGregor-Westergaard complex potentials in crack problems ⋮ Singular integral equations. The convergence of the Nyström interpolant of the Gauss-Chebyshev method ⋮ Quadrature formula of singular integral based on rational interpolation ⋮ On the validity of the singular integral equations of crack problems at the crack tips ⋮ On the numerical solution of Cauchy type singular integral equations by the collocation method ⋮ A modification of the quadrature method for the direct numerical solution of singular integral equations ⋮ A modified algorithm for the numerical solution of singular integral equations with index equal to 1 ⋮ Galerkin methods with splines for singular integral equations over (0,1) ⋮ Singular integral equations— the convergence of the gauss-jacobi quadrature method ⋮ On the solvability of singular integral equations via gauss-jacobi quadrature

Cites Work

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• A remark on the numerical solution of singular integral equations and the determination of stress-intensity factors
• Numerical integration methods for the solution of singular integral equations
• An analysis of a method for solving singular integral equations
• Approximate Solutions of Systems of Singular Integral Equations
• On the numerical solution of singular integral equations

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