Optimal bivariate \(C^{1}\) cubic quasi-interpolation on a type-2 triangulation
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Publication:970412
DOI10.1016/j.cam.2009.07.035zbMath1204.65011OpenAlexW2073992115MaRDI QIDQ970412
Allal Guessab, M. J. Ibáñez, Domingo Barrera, Otheman Nouisser
Publication date: 17 May 2010
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.2009.07.035
error estimatesnumerical examplesB-splinesbox splinesdifferential quasi-interpolantsdiscrete quasi-interpolantsoptimal approximation orderFranke's function
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Cites Work
- Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations
- Enhancement of the algebraic precision of a linear operator and consequences under positivity
- Approximation order for bivariate \(C^ 1\)-cubics on a four-directional mesh is full
- Increasing the approximation order of spline quasi-interpolants
- Near-best quasi-interpolants associated with \(H\)-splines on a three-direction mesh
- Multivariate approximation by a combination of modified Taylor polynomials
- Spline Functions on Triangulations
- Scattered Data Interpolation: Tests of Some Method
