Archivio Istituzionale della RicercaIn 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 / CONCHIN GUBERNATI, Alice; Lamberti, Paola. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - ELETTRONICO. - 407:(2022), p. 114057. [10.1016/j.cam.2021.114057]
Multilevel quadratic spline integration
Alice, Conchin Gubernati;
2022
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.
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MultilevelQuadraticSpline.pdf
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Multilevel_revised.pdf
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https://hdl.handle.net/11583/2954269