Bivariate spline interpolation with optimal approximation order

DOI10.1007/s003650010034zbMath1004.41005OpenAlexW2012790650MaRDI QIDQ5937037

Günther Nürnberger, Frank Zeilfelder, O. V. Davydov

Publication date: 11 February 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/36669/

zbMATH Keywords

interpolationbivariate splineapproximation orderHermite-type interpolationlocally linearly independent basisminimally supported basis

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (10)

Recursive computation of bivariate Hermite spline interpolants ⋮ Local Lagrange interpolations using bivariate \(C^2\) splines of degree seven on triangulated quadrangulations ⋮ The convergence of three \(L_{1}\) spline methods for scattered data interpolation and fitting ⋮ Approximation by $$C^1$$ C 1 Splines on Piecewise Conic Domains ⋮ SPLINE APPROXIMATIONS ON MANIFOLDS ⋮ Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations ⋮ Energy minimization method for scattered data Hermite interpolation ⋮ Stable local bases for multivariate spline spaces ⋮ Interpolation by spline spaces on classes of triangulations ⋮ Error estimates in \(W^{2,\infty}\)-semi-norms for discrete interpolating \(D^2\)-splines

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