Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals
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Publication:848540
DOI10.1016/j.cam.2009.11.029zbMath1192.65031OpenAlexW2059928833MaRDI QIDQ848540
Xiaoping Zhang, Jin Li, De-Hao Yu
Publication date: 4 March 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.029
numerical examplessuperconvergenceerror estimatesupersingular integralultraconvergencecomposite Newton-Cotes ruleHadamard finite part integral
Related Items (13)
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 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 ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval ⋮ Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions ⋮ Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions ⋮ Superconvergent methods based on cubic splines for solving linear integral equations ⋮ Superconvergence of Hermite rule for hypersingular integrals on interval ⋮ Trapezoidal rule for computing supersingular integral on a circle
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