A quadrature method for systems of Cauchy singular integral equations

DOI10.1216/JIE-2012-24-2-241zbMath1256.65106MaRDI QIDQ452491

C. Laurita, Maria Carmela De Bonis

Publication date: 21 September 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1340369464

zbMATH Keywords

stabilityconvergencenumerical examplesLagrange interpolationCauchy singular integral equationsquadrature method

Mathematics Subject Classification ID

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

Related Items (6)

Some classes of singular integral equations of convolution type in the class of exponentially increasing functions ⋮ Error analysis of a residual-based Galerkin's method for a system of Cauchy singular integral equations with vanishing endpoint conditions ⋮ 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 ⋮ Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics

Cites Work

• Numerical analysis for integral and related operator equations.
• A quadrature method for Cauchy integral equations with weakly singular perturbation kernel
• A fast algorithm for solving the generalized airfoil equation
• Lagrange interpolation in weighted Besov spaces
• Some nodes matrices appearing in the numerical analysis for singular integral equations
• Condition numbers in numerical methods for Fredholm integral equations of the second kind
• Numerical analysis for one-dimensional Cauchy singular integral equations
• Condition numbers for singular integral equations in weighted \(L^2\) spaces
• The Numerical Solution of Integral Equations of the Second Kind
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