Derivation of the errors involved in Hermite interpolation and their applications to quadrature formulae
DOI10.1016/J.AMC.2006.02.046zbMath1105.65013OpenAlexW1985629399MaRDI QIDQ856150
Samir A. Ashour, Hany M. Ahmed
Publication date: 7 December 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.046
Cauchy integralerror estimatesnumerical experimentsHermite interpolationdivided differencesGaussian quadrature formulaefinite-part integral
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Cites Work
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- The numerical evaluation of Hadamard finite-part integrals
- Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
- Gauss Type Quadrature Rules for Cauchy Principal Value Integrals
- Low-order methods for Cauchy principal value integrals with endpoint singularities
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