A natural interpolation formula for Cauchy-type singular integral equations with generalized kernels

DOI10.1016/0021-9991(82)90038-9zbMath0492.65068OpenAlexW2011525594MaRDI QIDQ1168066

Nikolaos I. Ioakimidis

Publication date: 1982

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90038-9

zbMATH Keywords

Nyström methodinterpolation formulaGauss-Jacobi quadrature rulegeneralized kernels

Mathematics Subject Classification ID

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

Related Items (1)

On the validity of the singular integral equations of crack problems at the crack tips

Cites Work

• Solution methods for integral equations. Theory and applications
• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• On the quadrature methods for the numerical solution of singular integral equations
• A method of numerical solution of Cauchy-type singular integral equations with generalized kernels and arbitrary complex singularities
• A remark on the numerical solution of singular integral equations and the determination of stress-intensity factors
• Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
• Stress-Intensity Factors and Complex Path-Independent Integrals
• On the use of the interpolation polynomial for solutions of singular integral equations
• Note on a Singular Integral Equation
• The Numerical Solution of Singular Integral Equations over $( - 1,1)$
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders
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