Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 윤정호 | * |
dc.contributor.author | 정병선 | * |
dc.date.accessioned | 2019-01-24T16:30:07Z | - |
dc.date.available | 2019-01-24T16:30:07Z | - |
dc.date.issued | 2019 | * |
dc.identifier.issn | 0377-0427 | * |
dc.identifier.issn | 1879-1778 | * |
dc.identifier.other | OAK-24172 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/248214 | - |
dc.description.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. | * |
dc.language | English | * |
dc.publisher | ELSEVIER SCIENCE BV | * |
dc.subject | Hermite subdivision scheme | * |
dc.subject | Convergence | * |
dc.subject | Smoothness | * |
dc.subject | Exponential polynomial reproduction | * |
dc.subject | Spectral condition | * |
dc.subject | Taylor scheme | * |
dc.title | Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials | * |
dc.type | Article | * |
dc.type | Proceedings Paper | * |
dc.relation.volume | 349 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 452 | * |
dc.relation.lastpage | 469 | * |
dc.relation.journaltitle | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | * |
dc.identifier.doi | 10.1016/j.cam.2018.07.050 | * |
dc.identifier.wosid | WOS:000454969100036 | * |
dc.identifier.scopusid | 2-s2.0-85052284174 | * |
dc.author.google | Jeong, Byeongseon | * |
dc.author.google | Yoon, Jungho | * |
dc.contributor.scopusid | 윤정호(57221276460) | * |
dc.contributor.scopusid | 정병선(57193427754) | * |
dc.date.modifydate | 20240118161402 | * |