On the convergence of a Gauss quadrature rule for evaluation of Cauchy type singular integrals

DOI10.1007/BF01933455zbMath0391.65004OpenAlexW1976934820MaRDI QIDQ4172846

Pericles S. Theocaris, George J. Tsamasphyros

Publication date: 1977

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933455

zbMATH Keywords

Hoelder SpacesCauchy Type Singular IntegralsConvergence of QuadratureGauss Quadrature Rule

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (14)

Recent developments in the numerical solution of singular integral equations ⋮ Gaussian formulae for the calculation of Cauchy principal value integrals and their convergence ⋮ Numerical integration in the presence of an interior singularity ⋮ Gauss Type Quadrature Rules for Cauchy Principal Value Integrals ⋮ On the numerical evaluation of derivatives of Cauchy principal value integrals ⋮ A new method for the numerical solution of singular integral equations appearing in crack and other elasticity problems ⋮ Equivalence and convergence of direct and indirect methods for the numerical solution of singular integral equations ⋮ Finite-dimensional approximations of singular integrals and direct methods of solution of singular integral and integrodifferential equations ⋮ A recurrence formula for the direct solution of singular integral equations ⋮ Unnamed Item ⋮ On the convergence of Hunter's quadrature rule for Cauchy principal value integrals ⋮ Numerical solution of systems of singular integral equations with ⋮ On the convergence of some quadrature rules for Cauchy principal-value and finite-part integrals ⋮ A numerical solution of singular integrodifferential equations with variable coefficients

Cites Work

• Unnamed Item
• On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals
• An algorithm for the numerical evaluation of certain Cauchy principal value integrals
• Numerical solution of systems of singular integral equations with
• Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals

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