The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application

DOI10.1080/00207160802226517zbMath1205.65137OpenAlexW2119179081MaRDI QIDQ3568426

Jiming Wu, Xiaoping Zhang, De-Hao Yu

Publication date: 11 June 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802226517

zbMATH Keywords

algorithmsnumerical resultssuperconvergencescattering problemcomposite trapezoidal rulefinite-part integralfinite-part integral equation of the second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals ⋮ Superconvergence of Newton-Cotes rule for computing hypersingular integral on a circle ⋮ Extrapolation methods to compute hypersingular integral in boundary element methods ⋮ Numerical solution of a certain hypersingular integral equation of the first kind ⋮ The extrapolation methods based on Simpson's rule for computing supersingular integral on interval ⋮ Superconvergence of Hermite rule for hypersingular integrals on interval ⋮ Euler-Maclaurin expansions and approximations of hypersingular integrals ⋮ Trapezoidal rule for computing supersingular integral on a circle

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