Numerical solution of systems of Cauchy singular integral equations with constant coefficients

DOI10.1016/j.amc.2012.08.022zbMath1291.65378OpenAlexW1964388070MaRDI QIDQ2250154

C. Laurita, Maria Carmela De Bonis

Publication date: 4 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.022

zbMATH Keywords

Lagrange interpolationquadrature methodCauchy singular integral equation

Mathematics Subject Classification ID

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

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Cites Work

• A quadrature method for systems of Cauchy singular integral equations
• Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution
• Solving singular integral equations using Gaussian quadrature and overdetermined systems
• Nyström method for Cauchy singular integral equations with negative index
• 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
• Uniform convergence estimates for a collocation method for the Cauchy singular integral equation
• On the consistency of numerical solutions of singular integral equations of the second kind with negative index using Jacobi polynomials
• Condition numbers for singular integral equations in weighted \(L^2\) spaces
• A quadrature method for Cauchy singular integral equations with index -1
• The Numerical Solution of Integral Equations of the Second Kind
• Linear integral equations
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