Modified Gauss-Legendre, Lobatto and Radau cubature formulas for the numerical evaluation of 2-D singular integrals

DOI10.1155/S0161171283000526zbMath0517.65007MaRDI QIDQ1053412

Pericles S. Theocaris

Publication date: 1983

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45105

zbMATH Keywords

convergenceerror estimatesnumerical exampleslogarithmic singularitycubature formulascollocation pointscomplex polesGauss-Legendre formulaLobatto formulaRadau formulasecond-order poletwo-dimensional Cauchy-type principal-value integrals

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Numerical evaluation of two-dimensional Cauchy principal value integrals ⋮ Asymptotic error expansions and splitting extrapolation algorithm for two classes of two-dimensional Cauchy principal-value integrals ⋮ Closed-form solution of the equations of caustics about cracks in fracture mechanics

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