On the Convergence of Some Cubic Spline Interpolation Schemes

DOI10.1137/0723058zbMath0592.41009OpenAlexW2024448661MaRDI QIDQ3721111

Rick K. Beatson

Publication date: 1986

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0723058

zbMATH Keywords

Cubic spline interpolation schemes

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (13)

Some studies on nonpolynomial interpolation and error analysis ⋮ Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals ⋮ The use of spline-on-spline for the approximation of Cauchy principal value integrals ⋮ End conditions for cubic spline interpolation derived from integration ⋮ Krylov Subspace Restarting for Matrix Laplace Transforms ⋮ Pointwise error estimates of numerical solutions to linear quadratic optimal control problems ⋮ Numerically explicit potentials for the homogenization of nonlinear elastic heterogeneous materials ⋮ The not-a-knot piecewise interpolatory cubic polynomial ⋮ On the Voronoi Implicit Interface Method ⋮ On the deviation of a parametric cubic spline interpolant from its data polygon ⋮ Density Estimation in Uncertainty Propagation Problems Using a Surrogate Model ⋮ On the evaluation of one-dimensional Cauchy principal value integrals by rules based on cubic spline interpolation ⋮ Spline product quadrature rules for Cauchy singular integrals

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