In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C^1 bivariate quadratic B-splines on a rectangular domain Ω, endowed with a non-uniform criss-cross triangulation, with discrete linear functionals as coefficients. Such B-splines have their supports contained in Ω and there is no data point outside this domain. Numerical results illustrate the methods.

Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains

LAMBERTI, Paola
2009-01-01

Abstract

In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C^1 bivariate quadratic B-splines on a rectangular domain Ω, endowed with a non-uniform criss-cross triangulation, with discrete linear functionals as coefficients. Such B-splines have their supports contained in Ω and there is no data point outside this domain. Numerical results illustrate the methods.
2009
BIT
49
565
588
Cubatures; Bivariate spline approximation; Quasi-interpolation
P. Lamberti
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/102380
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