The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals
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Publication:708290
DOI10.1016/j.cam.2010.06.023zbMath1205.41032OpenAlexW1987161189MaRDI QIDQ708290
Jiming Wu, Dongjie Liu, De-Hao Yu
Publication date: 11 October 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.2010.06.023
Related Items (9)
The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval ⋮ Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval ⋮ The trapezoidal rule for computing Cauchy principal value integral on circle ⋮ A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula ⋮ \(L_2\) error estimates of collocation methods for solving certain singular integral equations ⋮ Simpson's rule to approximate Hilbert integral and its application ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval ⋮ Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions ⋮ Superconvergent methods based on cubic splines for solving linear integral equations
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