scientific article; zbMATH DE number 269565
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Publication:5288445
zbMath0778.65015MaRDI QIDQ5288445
Publication date: 18 August 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
convergencequadrature formulastrapezoidal rulehypersingular integralsSimpson formulaquadrature errorfinite- part integral
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Related Items (13)
The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval ⋮ Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications ⋮ Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals ⋮ Superconvergence of Newton-Cotes rule for computing hypersingular integral on a circle ⋮ Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals ⋮ Extrapolation methods to compute hypersingular integral in boundary element methods ⋮ The extrapolation methods based on Simpson's rule for computing supersingular integral on interval ⋮ Toeplitz-type approximations to the Hadamard integral operator and their applications to electromagnetic cavity problems ⋮ The trapezoidal rule for computing supersingular integral on interval ⋮ Simpson's rule to approximate Hilbert integral and its application ⋮ Error expansion of piecewise constant interpolation rule for certain two-dimensional Cauchy principal value integrals ⋮ The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals ⋮ Trapezoidal rule for computing supersingular integral on a circle
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