Uniform convergence estimates for a collocation method for the Cauchy singular integral equation

DOI10.1216/jiea/1181075986zbMath0882.65137OpenAlexW1966300372MaRDI QIDQ1366815

Maria Rosaria Capobianco, Maria Grazia Russo

Publication date: 5 March 1998

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/nrm/vol9/contents/contents.htm

zbMATH Keywords

stabilitycollocation methoderror estimatesuniform convergenceCauchy singular integral equation

Mathematics Subject Classification ID

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

Related Items (7)

A projection method for Volterra integral equations in weighted spaces of continuous functions ⋮ A unified representation for some interpolation formulas ⋮ Condition numbers for singular integral equations in weighted \(L^2\) spaces ⋮ Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution ⋮ Numerical solution of systems of Cauchy singular integral equations with constant coefficients ⋮ A numerical method for the generalized airfoil equation based on the de la Vallée Poussin interpolation ⋮ Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions

Cites Work

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• Associated generalized Jacobi functions and polynomials
• Projection methods for singular integral equations
• Recent developments in the numerical solution of singular integral equations
• Convergence of Gauss type product formulas for the evaluation of two- dimensional Cauchy principal value integrals
• Uniform convergence of derivatives of Lagrange interpolation
• The Classical Collocation Method for Singular Integral Equations
• Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen
• Pointwise Simultaneous Convergence of Extended Lagrange Interpolation with Additional Knots
• The Stability and the Convergence of a Collocation Method for a Class of Cauchy Singular Integral Equations

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