Numerical solution of Cauchy type singular integral equations with logarithmic weight, based on arbitrary collocation points

DOI10.1007/BF00370054zbMath0714.73089MaRDI QIDQ751369

A. C. Chrysakis, George J. Tsamasphyros

Publication date: 1990

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

Gauss-type quadrature rule

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fracture and damage (74R99) Integral equations with kernels of Cauchy type (45E05)

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
• Cauchy-type integrals and integral equations with logarithmic singularities
• Two bonded half planes with a crack going through the interface
• [https://portal.mardi4nfdi.de/wiki/Publication:3214283 Numerical Construction of Gaussian Quadrature Formulas for � � 1 0   (-Log x)⋅x α ⋅f(x) ⋅dx     and     � � ∞ 0 E m (x) ⋅f(x) ⋅dx]
• On the selection of collocation points for the numerical solution of singular integral equations with generalized kernels appearing in elasticity problems
• Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen
• Numerical solution of systems of singular integral equations with

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