The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle
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Publication:841138
DOI10.1007/s00607-009-0048-5zbMath1177.65044OpenAlexW2146553888MaRDI QIDQ841138
Jiming Wu, Xiaoping Zhang, De-Hao Yu
Publication date: 14 September 2009
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00607-009-0048-5
convergenceerror estimatesingular kernelperiodic functionsfinite-part integralcomposite quadrature formulaweighted Newton-Cotes quadrature formula
Related Items (12)
An efficient calculation of the Clausen functions \(\text{Cl}_{n }(\theta )(n\geq 2)\) ⋮ 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 ⋮ Cubic spline quadrature rule to calculate supersingular integral on interval ⋮ 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 ⋮ \(L_2\) error estimates of collocation methods for solving certain singular integral equations ⋮ Error expansion of piecewise constant interpolation rule for certain two-dimensional Cauchy principal value integrals ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval ⋮ Superconvergence of Hermite rule for hypersingular integrals on interval
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