A modification of the quadrature method for the direct numerical solution of singular integral equations

DOI10.1016/0045-7825(84)90126-9zbMath0544.65096OpenAlexW2047762186MaRDI QIDQ796968

N. E. Zubov

Publication date: 1984

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90126-9

zbMATH Keywords

numerical resultscollocationquadrature methodcrack problemsGauss- and Lobatto-Chebyshev methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Brittle damage (74R05) Integral equations with kernels of Cauchy type (45E05)

Related Items (2)

Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods ⋮ Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners

Cites Work

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• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• A natural quadrature formula for the numerical evaluation of the MacGregor-Westergaard complex potentials in crack problems
• Modified quadrature formulas for functions with nearby poles
• Array of periodic curvilinear cracks in an infinite isotropic medium
• On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
• A Comparison Between the Direct and the Classical Numerical Methods for the Solution of Cauchy Type Singular Integral Equations
• On the use of the interpolation polynomial for solutions of singular integral equations
• Subtracting Out Complex Singularities in Numerical Integration
• Numerical integration methods for the solution of singular integral equations
• Modified gauss-jacobi quadrature formulas for the numerical evaluation of cauchy type singular integrals
• Error-Bounds for the Evaluation of Integrals by the Euler-Maclaurin Formula and by Gauss-Type Formulae
• On the Remainder in Quadrature Rules
• On the numerical solution of singular integral equations
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders

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