Derivative-based closed Newton-Cotes numerical quadrature

DOI10.1016/J.AMC.2011.12.060zbMath1246.65043OpenAlexW2071544712MaRDI QIDQ434663

Clarence O. E. Burg

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.060

zbMATH Keywords

numerical examplesnumerical quadratureTaylor series expansionspolynomial interpolationgeneralized Rolle's theoremmethod of undetermined coefficientsclosed Newton-Cotes integrationderivative-based quadrature

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (6)

Derivative-based trapezoid rule for the Riemann-Stieltjes integral ⋮ New derivative based open Newton-Cotes quadrature rules ⋮ Midpoint derivative-based closed Newton-Cotes quadrature ⋮ Dual Neural Network Method for Solving Multiple Definite Integrals ⋮ The 3-point quadrature rules with constant weight function ⋮ Jensen-Ostrowski inequalities and integration schemes via the Darboux expansion

Cites Work

• Unnamed Item
• Unnamed Item
• On numerical improvement of Gauss-Lobatto quadrature rules.
• On numerical improvement of Gauss--Legendre quadrature rules
• On numerical improvement of the first kind Gauss-Chebyshev quadrature rules
• On numerical improvement of closed Newton-Cotes quadrature rules.
• On numerical improvement of open Newton--Cotes quadrature rules
• The semi-open Newton-Cotes quadrature rule and its numerical improvement
• On numerical improvement of Gauss--Radau quadrature rules
• The first kind Chebyshev-Newton-Cotes quadrature rules (closed type) and its numerical improvement

This page was built for publication: Derivative-based closed Newton-Cotes numerical quadrature