On the approximation power of bivariate quadratic \(C^1\) splines

DOI10.1016/S0377-0427(00)00265-XzbMath0980.41009WikidataQ127866285 ScholiaQ127866285MaRDI QIDQ5939876

Paola Lamberti, Cattarina Dagnino

Publication date: 4 March 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

spline

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (9)

Quasi-interpolation based on the ZP-element for the numerical solution of integral equations on surfaces in \(\mathbb {R}^3\) ⋮ Completeness of generating systems for quadratic splines on adaptively refined criss-cross triangulations ⋮ Construction of Cubature Formulas via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation ⋮ 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 ⋮ 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 ⋮ Multilevel quadratic spline integration ⋮ On spline quasi-interpolation through dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shape-preserving quasi-interpolation and interpolation by box spline surfaces
• Local spline approximation methods
• On the approximation power of bivariate splines
• Box splines
• Approximation Order From Certain Spaces of Smooth Bivariate Splines on a Three-Direction Mesh
• Error analysis in interpolation by bivariate C1-splines
• Multivariate Splines with Nondegenerate Partitions

This page was built for publication: On the approximation power of bivariate quadratic \(C^1\) splines