Modified gregory formulae based on mixed interpolation

DOI10.1080/00207169408804295zbMath1306.41010OpenAlexW1981252553MaRDI QIDQ3549260

Guido Vanden Berghe, Philippe Bocher, H. E. De Meyer

Publication date: 21 December 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169408804295

zbMATH Keywords

quadrature rulesGregory rulesmixed interpolation

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items

A class of developed schemes for parabolic integro-differential equations ⋮ Numerical solution of Volterra equations based on mixed interpolation ⋮ On Gregory-and modified Gregory-type corrections to Newton-Cotes quadrature ⋮ High-order quadrature rules based on spline quasi-interpolants and application to integral equations ⋮ Modified gregory formulae based on mixed interpolation ⋮ A new quadrature rule based on a generalized mixed interpolation formula of exponential type ⋮ Numerical solution of Fredholm equations based on mixed interpolation

Cites Work

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• On the error estimation for a mixed type of interpolation
• Zur Restglieddarstellung der Gregoryschen Quadraturformel ungerader Ordnung
• Darstellung und Entwicklung des Restgliedes der Gregoryschen Quadraturformel mit Hilfe von Spline-Funktionen
• Modified gregory formulae based on mixed interpolation
• Computational Methods for Integral Equations
• Über Monotonie und Fehlerkontrolle bei den Gregoryschen Quadraturverfahren