An optimal multivariate spline method of recovery of twice differentiable functions

DOI10.1007/s10543-011-0319-3zbMath1232.65022OpenAlexW2022369611MaRDI QIDQ639967

Tatyana Sorokina, Sergiy V. Borodachov

Publication date: 11 October 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0319-3

zbMATH Keywords

Delaunay triangulationoptimal recoverymultivariate splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (2)

Optimal recovery of twice differentiable functions based on symmetric splines ⋮ Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere

Cites Work

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• Properties of \(n\)-dimensional triangulations
• Optimal recovery of isotropic classes of twice-differentiable multivariate functions
• Error of the approximation by interpolation polynomials of small degrees on n-simplices
• Best methods of interpolation for certain classes of differentiable functions
• Interpolation by polyhedral functions
• Interpolation of continuous maps by piecewise-linear maps
• Approximation error for linear polynomial interpolation on \(n\)-simplices
• Spline Functions on Triangulations

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