Some performances of local bivariate quadratic \(C^1\) quasi-interpolating splines on nonuniform type-2 triangulations

DOI10.1016/j.cam.2004.02.017zbMath1065.65012OpenAlexW2022518388MaRDI QIDQ704170

Paola Lamberti, Cattarina Dagnino

Publication date: 13 January 2005

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.2004.02.017

zbMATH Keywords

convergencenumerical examplesquasi-interpolationbivariate splinesapproximation order by splinesquadratic B-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (15)

Numerical integration based on a multilevel quartic quasi-interpolation operator ⋮ Construction of Cubature Formulas via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation ⋮ Constructing B-spline representation of quadratic Sibson-Thomson splines ⋮ 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 ⋮ Numerical integration based on bivariate quadratic spline quasi-interpolants on Powell-Sabin partitions ⋮ On trivariate blending sums of univariate and bivariate quadratic spline quasi-interpolants on bounded domains ⋮ Bivariate \(C ^{2}\) cubic spline quasi-interpolants on uniform Powell-Sabin triangulations of a rectangular domain ⋮ Increasing the approximation order of spline quasi-interpolants ⋮ On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains ⋮ Some performances of local bivariate quadratic \(C^1\) quasi-interpolating splines on nonuniform type-2 triangulations ⋮ Constructing Good Coefficient Functionals for Bivariate C 1 Quadratic Spline Quasi-Interpolants ⋮ Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains ⋮ Multilevel quadratic spline integration ⋮ On spline quasi-interpolation through dimensions ⋮ Quasi-interpolation by quadratic piecewise polynomials in three variables

Cites Work

• Some performances of local bivariate quadratic \(C^1\) quasi-interpolating splines on nonuniform type-2 triangulations
• The dimension and basis of spaces of multivariate splines
• Bernstein-Bézier methods for the construction of bivariate spline approximants
• Local spline approximation methods
• Box splines
• Bivariate spline interpolation at grid points
• Monotonicity Preserving Surface Interpolation
• Algorithm 792
• Multivariate spline and its applications in science and technology
• On the approximation power of bivariate quadratic \(C^1\) splines
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some performances of local bivariate quadratic \(C^1\) quasi-interpolating splines on nonuniform type-2 triangulations