The PCHIP subdivision scheme
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Other documents of the author: Aràndiga Llaudes, Francesc; Donat Beneito, Rosa María; Santágueda-Villanueva, María
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Title
The PCHIP subdivision schemeDate
2016-01-01xmlui.dri2xhtml.METS-1.0.item-edition
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ElsevierBibliographic citation
ARÀNDIGA LLAUDES, Francesc; DONAT BENEITO, Rosa María; SANTÁGUEDA VILLANUEVA, María. The PCHIP subdivision scheme. Applied Mathematics and Computation (2015), v. 272, Part 1, pp. 28-40Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S009630031500990X?np=ySubject
Abstract
In this paper we propose and analyze a nonlinear subdivision scheme based on the monotononicity-preserving third order Hermite-type interpolatory technique implemented in the PCHIP package in Matlab. We prove the ... [+]
In this paper we propose and analyze a nonlinear subdivision scheme based on the monotononicity-preserving third order Hermite-type interpolatory technique implemented in the PCHIP package in Matlab. We prove the convergence and the stability of the PCHIP nonlinear subdivision process by employing a novel technique based on the study of the generalized Jacobian of the first difference scheme. [-]
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Applied Mathematics and Computation (2015), v. 272, Part 1Rights
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