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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
mioBIT.pdf
Accesso aperto
Tipo di file:
POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione
570.49 kB
Formato
Adobe PDF
|
570.49 kB | Adobe PDF | Visualizza/Apri |
|
fulltext-1.pdf
Accesso riservato
Tipo di file:
PDF EDITORIALE
Dimensione
4.02 MB
Formato
Adobe PDF
|
4.02 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
