A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula

DOI10.1016/j.cam.2017.12.017zbMath1387.41017OpenAlexW2777846580MaRDI QIDQ1743939

Grzegorz Rządkowski, Emran Tohidi

Publication date: 16 April 2018

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.2017.12.017

zbMATH Keywords

rate of convergencesingular integralFermi-Dirac integralgeneralized Euler-Maclaurin summation formulaproduct integration rule

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Approximate quadratures (41A55) Euler-Maclaurin formula in numerical analysis (65B15) Numerical integration (65D30)

Related Items (5)

Convergence analysis of the generalized Euler-Maclaurin quadrature rule for solving weakly singular integral equations ⋮ A novel collocation method for numerical solution of hypersingular integral equation with singular right-hand function ⋮ Numerical steepest descent method for Hankel type of hypersingular oscillatory integrals in electromagnetic scattering problems ⋮ Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels ⋮ Operational matrix approach based on two-dimensional Boubaker polynomials for solving nonlinear two-dimensional integral equations

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