The PCHIP subdivision scheme

F. Aràndiga, R. Donat and M. Santágueda

Applied Mathematics and Computation, 2016, vol. 272, issue P1, 28-40

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 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.

Keywords: Nonlinear subdivision schemes; Convergence; Stability; Approximation order (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:272:y:2016:i:p1:p:28-40

DOI: 10.1016/j.amc.2015.07.071

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