Singular integral equations. The convergence of the Nyström interpolant of the Gauss-Chebyshev method

DOI10.1007/BF01944477zbMath0481.65080MaRDI QIDQ1162350

Apostolos Gerasoulis

Publication date: 1982

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergenceupper boundnumerical examplesdirect Gauss-Chebyshev method22, 200-210 (1982)Nyström interpolant

Mathematics Subject Classification ID

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

Related Items (5)

The stability of the Gauss-Chebyshev method for Cauchy singular integral equations ⋮ The singular value decomposition of the Gauss-Chebyshev and Lobatto-Chebyshev methods for Cauchy Singular Integral Equations ⋮ Quadrature formula of singular integral based on rational interpolation ⋮ Singular integral equations— the convergence of the gauss-jacobi quadrature method ⋮ Numerical solution of an integral equation with logarithmic singularity

Cites Work

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• Equivalence and convergence of direct and indirect methods for the numerical solution of singular integral equations
• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• On the existence of approximate solutions for singular integral equations of Cauchy type discretized by Gauss-Chebyshev quadrature formulae
• A remark on the numerical solution of singular integral equations and the determination of stress-intensity factors
• On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
• On the use of the interpolation polynomial for solutions of singular integral equations
• On the numerical solution of singular integral equations

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