Qianqian LV,Jieqing TAN,Jun SHI.A Unified Ternary Curve Subdivision Scheme[J].数学研究及应用,2017,37(1):47~58
A Unified Ternary Curve Subdivision Scheme
A Unified Ternary Curve Subdivision Scheme
投稿时间:2016-11-17  最后修改时间:2016-12-19
DOI:10.3770/j.issn:2095-2651.2017.01.005
中文关键词:  difference matrix  subdivision scheme  eigenvalues  asymmetric scheme
英文关键词:difference matrix  subdivision scheme  eigenvalues  asymmetric scheme
基金项目:Supported by the National Natural Science Foundation of China (Grant Nos.61472466; 61070227) and the NSFC-Guangdong Joint Foundation Key Project (Grant No.U1135003).
作者单位
Qianqian LV School of Mathematics, Hefei University of Technology, Anhui 230009, P. R. China 
Jieqing TAN School of Mathematics, Hefei University of Technology, Anhui 230009, P. R. China 
Jun SHI School of Mathematics, Hefei University of Technology, Anhui 230009, P. R. China 
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中文摘要:
      A unified $m\,(m>2)$-point ternary scheme with some parameter is proposed. The continuity of subdivision scheme is analyzed based on the relationship between the subdivision scheme and difference scheme. Moreover, the proposed subdivision is extended to asymmetric multi-parameter subdivision and the asymmetric schemes in four cases are presented in detail. Some examples are given to show that the presented scheme has better approximating effect.
英文摘要:
      A unified $m\,(m>2)$-point ternary scheme with some parameter is proposed. The continuity of subdivision scheme is analyzed based on the relationship between the subdivision scheme and difference scheme. Moreover, the proposed subdivision is extended to asymmetric multi-parameter subdivision and the asymmetric schemes in four cases are presented in detail. Some examples are given to show that the presented scheme has better approximating effect.
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