An extension of trapezoidal type product integration rules

DOI10.1016/j.cam.2009.07.001zbMath1175.65036OpenAlexW2133271503MaRDI QIDQ843172

Grzegorz Rządkowski

Publication date: 29 September 2009

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.2009.07.001

zbMATH Keywords

numerical integrationnumerical examplesproduct integrationBernoulli functionsgeneralized Euler-Maclaurin summation formulageneralization of trapezoidal rule

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15) Numerical integration (65D30)

Related Items (2)

Convergence analysis of the generalized Euler-Maclaurin quadrature rule for solving weakly singular integral equations ⋮ A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula

Cites Work

• A generalization of the Euler-Maclaurin summation formula: an application to numerical computation of the Fermi-Dirac integrals
• A circular interpretation of the Euler-Maclaurin formula.
• A new transformation technique for evaluating nearly singular integrals
• Asymptotic expansions for trapezoidal type product integration rules
• Asymptotic Expansions for Product Integration
• Hybrid Gauss-Trapezoidal Quadrature Rules
• Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
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