Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains
| Autor: | Paola Lamberti |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Computer Networks and Communications
Applied Mathematics B-spline Quasi-interpolation Cubatures Bivariate spline approximation Mathematics::Numerical Analysis Numerical integration Computational Mathematics Spline (mathematics) Quadratic equation M-spline Bounded function Linear form Calculus Applied mathematics Linear combination Software Mathematics |
| Zdroj: | BIT Numerical Mathematics. 49:565-588 |
| ISSN: | 1572-9125 0006-3835 |
| DOI: | 10.1007/s10543-009-0237-9 |
| Popis: | In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C1 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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