Galerkin Methods for Singular Integral Equations

DOI10.2307/2007736zbMath0466.65078OpenAlexW4253337776MaRDI QIDQ3919039

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Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007736

zbMATH Keywords

numerical exampleerror boundsGalerkin's methodspline functionsasymptotic behavior of the solutionasymptotic rate of convergence

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Asymptotics of solutions to integral equations (45M05) Integral equations with kernels of Cauchy type (45E05)

Related Items (9)

Recent developments in the numerical solution of singular integral equations ⋮ Application of approximating splines for the solution of Cauchy singular integral equations ⋮ On spline Galerkin methods for singular integral equations with piecewise continuous coefficients ⋮ The use of modified quasi-interpolatory splines for the solution of the Prandtl equation ⋮ The perturbed Galerkin method for Cauchy singular integral equation with constant coefficients ⋮ Some bounded linear integral operators and linear Fredholm integral equations in the spaces \(H_{\alpha, \delta, \gamma}((a, b) \times (a, b), X)\) and \(H_{\alpha, \delta}((a, b), X)\) ⋮ Discrete projection methods for Cauchy singular integral equations with constant coefficients ⋮ A review of some numerical methods for the solution of Cauchy singular integral equations ⋮ Galerkin methods with splines for singular integral equations over (0,1)

Cites Work

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• On the approximate solution of operator equations
• Approximate solution of a singular integral equation by means of jacobi polynomials
• Splines (with optimal knots) are better
• On quadrature formulas for singular integral equations of the first and the second kind
• A General Theory for the Approximate Solution of Operator Equations of the Second Kind
• The Numerical Solution of Singular Integral Equations over $( - 1,1)$

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