Quadrature formulas descending from BS Hermite spline quasi-interpolation

DOI10.1016/j.cam.2012.03.015zbMath1246.65123OpenAlexW2013042454MaRDI QIDQ433959

Alessandra Sestini, Francesca Mazzia

Publication date: 9 July 2012

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.2012.03.015

zbMATH Keywords

Cauchy problemnumerical examplesfinite differencequadraturequasi-interpolationB-spline boundary value methods

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical interpolation (65D05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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Cites Work

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• The continuous extension of the B-spline linear multistep methods for BVPs on non-uniform meshes
• The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions
• A quadrature formula associated with a univariate spline quasi interpolant
• An Invitation to Hermite's Integration and Summation: A Comparison between Hermite's and Simpson's Rules
• B‐Spline Linear Multistep Methods and their Continuous Extensions
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• A practical guide to splines.

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