A piecewise linear quadrature of Cauchy singular integrals

DOI10.1016/S0377-0427(98)00075-2zbMath0946.65014OpenAlexW1973951875MaRDI QIDQ1298517

Lee, Sungyun, Phil Su Kim

Publication date: 22 August 1999

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00075-2

zbMATH Keywords

algorithmnumerical examplesCauchy singular integral equationpiecewise polynomial quadraturequadrature weight

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

A quadrature rule of interpolatory type for Cauchy integrals ⋮ A quadrature rule for weighted Cauchy integrals ⋮ A trigonometric quadrature rule for Cauchy integrals with Jacobi weight

Cites Work

• The use of piecewise quadratic polynomials for the solution of singular integral equations of Cauchy type
• A method for the numerical solution of singular integral equations with a principal value integral
• A system of arbitrarily oriented cracks in elastic solids
• Cubic Splines and Approximate Solution of Singular Integral Equations
• A numerical technique for the solution of singular integral equations of the second kind
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• Low-order methods for Cauchy principal value integrals with endpoint singularities
• The Numerical Evaluation of the Cauchy Transform on Simple Closed Curves
• ON THE FINITE HILBERT TRANSFORMATION

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