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Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials

Title
Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials
Authors
Jeong, ByeongseonYoon, Jungho
Ewha Authors
윤정호정병선
SCOPUS Author ID
윤정호scopus; 정병선scopus
Issue Date
2019
Journal Title
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN
0377-0427JCR Link

1879-1778JCR Link
Citation
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS vol. 349, pp. 452 - 469
Keywords
Hermite subdivision schemeConvergenceSmoothnessExponential polynomial reproductionSpectral conditionTaylor scheme
Publisher
ELSEVIER SCIENCE BV
Indexed
SCI; SCIE; SCOPUS WOS scopus
Document Type
Article

Proceedings Paper
Abstract
The aim of this paper is to study the convergence and smoothness of non-stationary Hermite subdivision schemes of order 2. In Conti et al. (2017) provided sufficient conditions for the convergence of a non-stationary Hermite subdivision scheme that reproduces a set of functions including exponential polynomials. The analysis has been focused on the non stationary Hermite scheme with the order >= 3, but the case of 2 (which is practically most useful) is yet to be investigated. In this regard, the first goal of this paper is to fill the gap. We analyze the convergence of non-stationary Hermite subdivision schemes of order 2. Next, we provide a tool which allows us to estimate the smoothness of a non-stationary Hermite scheme by developing a novel factorization framework of non-stationary vector subdivision operators. Using the proposed non-stationary factorization framework, we estimate the smoothness of the non-stationary Hermite subdivision schemes: the non stationary interpolatory Hermite scheme proposed by Conti et al., (2015) and a new class of non-stationary dual Hermite subdivision schemes of de Rham-type. (C) 2018 Elsevier B.V. All rights reserved.
DOI
10.1016/j.cam.2018.07.050
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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