Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split
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Publication:458177
DOI10.1016/j.cam.2014.08.024zbMath1310.65014OpenAlexW2055388514MaRDI QIDQ458177
Driss Sbibih, Ahmed Tijini, Abdelhafid Serghini
Publication date: 7 October 2014
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.2014.08.024
Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)
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Cites Work
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- Superconvergent quadratic spline quasi-interpolants on Powell-Sabin partitions
- Quasi-interpolation by quadratic \(C^{1}\)-splines on truncated octahedral partitions
- A normalized basis for quintic Powell-Sabin splines
- On trivariate blending sums of univariate and bivariate quadratic spline quasi-interpolants on bounded domains
- Quasi-interpolation operators based on the trivariate seven-direction \(C^2\) quartic box spline
- Quadratic spline quasi-interpolants and collocation methods
- Normalized trivariate B-splines on Worsey-Piper split and quasi-interpolants
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- A multivariate Powell-Sabin interpolant
- On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains
- Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
- A trivariate Powell-Sabin interpolant
- Local spline approximation methods
- Relationship between tetrahedron shape measures
- On calculating normalized Powell-Sabin B-splines
- Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants
- Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
- Quasi-interpolation by quadratic piecewise polynomials in three variables
- Polynomial Interpolation in Several Variables: Lattices, Differences, and Ideals
- Local quasi-interpolation by cubic C1 splines on type-6 tetrahedral partitions
- Spline Functions on Triangulations
- On Lattices Admitting Unique Lagrange Interpolations
- Piecewise Quadratic Approximations on Triangles
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