Construction of Hermite subdivision schemes reproducing polynomials
- 주제(키워드) Convergence , Hermite subdivision scheme , Polynomial reproduction , Quasi-interpolation , Smoothness , Spectral condition
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press Inc.
- 발행년도 2017
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000145510
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jmaa.2017.02.014
초록/요약
The aim of this study is to present a new class of quasi-interpolatory Hermite subdivision schemes of order two with tension parameters. This class extends and unifies some of well-known Hermite subdivision schemes, including the interpolatory Hermite schemes. Acting on a function and the associated first derivative values, each scheme in this class reproduces polynomials up to a certain degree depending on the size of stencil. This is desirable property since the reproduction of polynomials up to degree d leads to the approximation order d+1. The smoothness analysis has been performed by using the factorization framework of subdivision operators. Lastly, we present some numerical examples to demonstrate the performance of the proposed Hermite schemes. © 2017 Elsevier Inc.
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