On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains
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Publication:950186
DOI10.1016/j.cam.2007.10.025zbMath1152.65021OpenAlexW2076775844MaRDI QIDQ950186
Paola Lamberti, Cattarina Dagnino
Publication date: 22 October 2008
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.2007.10.025
Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)
Related Items (9)
Quasi-interpolation based on the ZP-element for the numerical solution of integral equations on surfaces in \(\mathbb {R}^3\) ⋮ Curve network interpolation by \(C^1\) quadratic B-spline surfaces ⋮ Numerical integration based on a multilevel quartic quasi-interpolation operator ⋮ Error bounds on the approximation of functions and partial derivatives by quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of a rectangular domain ⋮ Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split ⋮ B-spline bases for unequally smooth quadratic spline spaces on non-uniform criss-cross triangulations ⋮ Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains ⋮ Multilevel quadratic spline integration ⋮ On spline quasi-interpolation through dimensions
Uses Software
Cites Work
- Some performances of local bivariate quadratic \(C^1\) quasi-interpolating splines on nonuniform type-2 triangulations
- Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains
- Bernstein-Bézier methods for the construction of bivariate spline approximants
- Box splines
- Cardinal Interpolation by Multivariate Splines
- Algorithm 792
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