A degree by degree recursive construction of Hermite spline interpolants

DOI10.1016/j.cam.2008.07.005zbMath1177.65022OpenAlexW2094357369MaRDI QIDQ1004005

Xu-li Han

Publication date: 2 March 2009

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.2008.07.005

zbMATH Keywords

error estimatesspline interpolationHermite interpolation polynomialrecursive computation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical interpolation (65D05) Computation of special functions and constants, construction of tables (65D20)

Related Items (9)

A New Smoothing Approach for Piecewise Smooth Functions: Application to Some Fundamental Functions ⋮ Error estimates for discrete spline interpolation: Quintic and biquintic splines ⋮ New Smoothing Approximations to Piecewise Smooth Functions and Applications ⋮ Stability and convergence of the two parameter cubic spline collocation method for delay differential equations ⋮ Fractional Hermite interpolation for non-smooth functions ⋮ Error inequalities for quintic and biquintic discrete Hermite interpolation ⋮ Discrete splines and its applications ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Smoothing approximations for piecewise smooth functions: a probabilistic approach

Cites Work

• On the multi-level splitting of finite element spaces
• A practical guide to splines
• \(C^ 1\)-hierarchical bases
• Multi-node higher order expansions of a function.
• A simple method for smoothing functions and compressing Hermite data
• Recursive computation of bivariate Hermite spline interpolants
• A recursive construction of Hermite spline interpolants and applications
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Hierarchical Conforming Finite Element Methods for the Biharmonic Equation
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