Multilevel quadratic spline quasi-interpolation

Paola Lamberti and Antonia Saponaro

Applied Mathematics and Computation, 2020, vol. 373, issue C

Abstract: In this paper we present new approximation schemes 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 the classical quasi-interpolating spline results. We also prove polynomial reproduction, optimal approximation order and propose some numerical results and applications.

Keywords: Spline approximation; Quasi-interpolation; Multilevel B-splines; Rate of convergence; Degree of approximation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:373:y:2020:i:c:s0096300320300163

DOI: 10.1016/j.amc.2020.125047

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