The solution of singular integral equations by approximate projection methods

DOI10.1016/0041-5553(79)90099-5zbMath0441.65109OpenAlexW1993761038MaRDI QIDQ3883442

A. V. Dzhishkariani

Publication date: 1979

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(79)90099-5

zbMATH Keywords

Bubnov-Galerkin methodapproximate projection methodscontraction of the domain of definition or range of values of the operator

Mathematics Subject Classification ID

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

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Rates of convergence for collocation with Jacobi polynomials for the airfoil equation ⋮ On the uniform convergence of a collocation method for a class of singular integral equations ⋮ The perturbed Galerkin method for Cauchy singular integral equation with constant coefficients ⋮ Discrete projection methods for Cauchy singular integral equations with constant coefficients ⋮ On a new integration rule with the Gegenbauer polynomials for singular integral equations used in the theory of elasticity ⋮ Error analysis of a residual-based Galerkin's method for a system of Cauchy singular integral equations with vanishing endpoint conditions ⋮ On the numerical resolution of the generalized airfoil equation with Possio kernel ⋮ Numerical solution of Cauchy-type integral equations of index \(-1\) by collocation methods

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