On a family of non-oscillatory subdivision schemes having regularity Cr with r > 1

被引：1
作者：
Amat, Sergio [1 ]
Ruiz, Juan [1 ]
Trillo, Juan C. [1 ]
Yanez, Dionisio F. [2 ]
机构：
[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena, Spain
[2] Univ Valencia EG, Dept Matemat, Valencia, Spain
来源：
NUMERICAL ALGORITHMS | 2020年 / 85卷 / 02期
关键词：
Nonlinear subdivision scheme; Limit function; Regularity; Stability; Gibbs phenomenon; NONLINEAR SUBDIVISION; INTERPOLATION;
D O I：
10.1007/s11075-019-00826-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the properties of a new family of nonlinear dyadic subdivision schemes are presented and studied depending on the conditions imposed to the mean used to rewrite the linear scheme upon which the new scheme is based. The convergence, stability, and order of approximation of the schemes of the family are analyzed in general. Also, the elimination of the Gibbs oscillations close to discontinuities is proved in particular cases. It is proved that these schemes converge towards limit functions that are Holder continuous with exponent larger than 1. The results are illustrated with several examples.
引用
收藏
页码：543 / 569
页数：27
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