Improved orders of approximation derived from interpolatory cubic splines

DOI10.1007/BF01931217zbMath0407.65006MaRDI QIDQ4194355

N. Papamichael, G. Hossein Behforooz

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Cubic SplineEqually Spaced KnotsOrders of ApproximationSuperconvergence Properties

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (14)

The use of spline-on-spline for the approximation of Cauchy principal value integrals ⋮ Quadratic spline ⋮ Interpolation of fuzzy data by using quartic piecewise polynomials induced from \(E(3)\) cubic splines ⋮ A comparison of the \(E(3)\) and not-a-knot cubic splines ⋮ Overconvergence properties of quintic interpolatory splines ⋮ Asymptotic error estimation for spline-on-spline interpolation ⋮ End conditions for cubic spline interpolation derived from integration ⋮ End conditions for improved cubic spline derivative approximations ⋮ Approximation of Cauchy principal value integrals by piecewise Hermite quartic polynomials by spline ⋮ The not-a-knot piecewise interpolatory cubic polynomial ⋮ On exact result in the finite element method. ⋮ Fitting data using optimal Hermite type cubic interpolating splines ⋮ On superconvergence techniques ⋮ Optimizing at the end-points the Akima's interpolation method of smooth curve fitting

Cites Work

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• On error bounds for spline interpolation
• Explicit Error Bounds for Periodic Splines of Odd Order on a Uniform Mesh
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions
• The Orders of Approximation of the First Derivative of Cubic Splines at the Knots

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