Superconvergent spline quasi-interpolants and an application to numerical integration

C. Allouch, A. Boujraf and M. Tahrichi

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 137, issue C, 90-108

Abstract: In this paper, we present a new technique to get superconvergence phenomenon of spline quasi-interpolants at the knots of the partition. This method gives rise to good approximation not only at these knots but also on the whole domain of definition. Moreover, we give an application to numerical integration. Numerical results are given to illustrate the theoretical ones.

Keywords: B-spline; Superconvergent quasi-interpolant; Quadrature formula (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:137:y:2017:i:c:p:90-108

DOI: 10.1016/j.matcom.2016.09.014

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