Condition numbers for singular integral equations in weighted \(L^2\) spaces

DOI10.1016/S0377-0427(99)00279-4zbMath0978.65124MaRDI QIDQ1975670

C. Laurita

Publication date: 21 January 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencecollocation methodBesov spacenumerical examplescondition numberLagrange interpolationCauchy singular integral equation

Mathematics Subject Classification ID

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

Related Items

Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions ⋮ A quadrature method for systems of Cauchy singular integral equations ⋮ Condition numbers in numerical methods for Fredholm integral equations of the second kind ⋮ Numerical solution of systems of Cauchy singular integral equations with constant coefficients ⋮ Numerical methods for Cauchy bisingular integral equations of the first kind on the square

Cites Work

• The convergence of a collocation method for a class of Cauchy singular integral equations
• Numerical analysis for integral and related operator equations.
• A quadrature method for Cauchy integral equations with weakly singular perturbation kernel
• On the stability of the classical collocation method for Cauchy-type singular integral equations
• A fast algorithm for solving the generalized airfoil equation
• Lagrange interpolation in weighted Besov spaces
• Uniform convergence estimates for a collocation method for the Cauchy singular integral equation
• Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen
• The Numerical Solution of Integral Equations of the Second Kind
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