Superconvergence of the Composite Rectangle Rule for Computing Hypersingular Integral on Interval

DOI10.4208/nmtma.OA-2019-0089zbMath1463.65028OpenAlexW3012348584MaRDI QIDQ5143965

Yongling Cheng, Jin Li, Zongcheng Li

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0089

zbMATH Keywords

asymptotic expansionhypersingular integralsuperconvergence phenomenonmiddle rectangle rule

Mathematics Subject Classification ID

Numerical integration (65D30)

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Cubic spline quadrature rule to calculate supersingular integral on interval ⋮ Nontrivial solutions for the \(2n^{\text{th}}\) Lidstone boundary value problem ⋮ SVR prediction algorithm for crack propagation of aviation aluminum alloy ⋮ A kind of FM-BEM penalty function method for a 3D elastic frictional contact nonlinear system ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval

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