In this paper we present new quadratures based on both quasi-interpolation and multilevel methods by using bivariate quadratic B-spline functions, defined on simple and multiple knot type-2 triangulations, improving classical quadratures, based on quasi- interpolating splines. We also prove some symmetry properties that simplify their expression, study their approximation performances, propose some numerical results and a comparison with other known multilevel spline quadratures.

Multilevel quadratic spline integration

Paola Lamberti
Last
2022-01-01

Abstract

In this paper we present new quadratures based on both quasi-interpolation and multilevel methods by using bivariate quadratic B-spline functions, defined on simple and multiple knot type-2 triangulations, improving classical quadratures, based on quasi- interpolating splines. We also prove some symmetry properties that simplify their expression, study their approximation performances, propose some numerical results and a comparison with other known multilevel spline quadratures.
2022
407
-
1
15
Spline integration, Quasi-interpolation, Multilevel B-splines, Rate of convergence, Degree of precision
Alice Conchin-Gubernati; Paola Lamberti
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1834845
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