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A new family of non-stationary hermite subdivision schemes reproducing exponential polynomials

Title
A new family of non-stationary hermite subdivision schemes reproducing exponential polynomials
Authors
Jeong, ByeongseonYoon, Jungho
Ewha Authors
윤정호정병선
SCOPUS Author ID
윤정호scopus; 정병선scopus
Issue Date
2020
Journal Title
APPLIED MATHEMATICS AND COMPUTATION
ISSN
0096-3003JCR Link

1873-5649JCR Link
Citation
APPLIED MATHEMATICS AND COMPUTATION vol. 366
Keywords
Non-stationary hermite subdivision schemeConvergenceSmoothnessExponential polynomial reproductionApproximation order
Publisher
ELSEVIER SCIENCE INC
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
In this study, we present a new class of quasi-interpolatory non-stationary Hermite subdivision schemes reproducing exponential polynomials. This class extends and unifies the well-known Hermite schemes, including the interpolatory schemes. Each scheme in this family has tension parameters which provide design flexibility, while obtaining at least the same or better smoothness compared to an interpolatory scheme of the same order. We investigate the convergence and smoothness of the new schemes by exploiting the factorization tools of non-stationary subdivision operators. Moreover, a rigorous analysis for the approximation order of the non-stationary Hermite scheme is presented. Finally, some numerical results are presented to demonstrate the performance of the proposed schemes. We find that the quasi-interpolatory scheme can circumvent the undesirable artifacts appearing in interpolatory schemes with irregularly distributed control points. (C) 2019 Elsevier Inc. All rights reserved.
DOI
10.1016/j.amc.2019.124763
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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