A non-stationary combined subdivision scheme generating exponential polynomials

Hongchan Zheng and Baoxing Zhang

Applied Mathematics and Computation, 2017, vol. 313, issue C, 209-221

Abstract: In this paper, a non-stationary combined subdivision scheme is presented, which can unify several existing non-stationary approximating and interpolatory subdivision schemes. This scheme is obtained by generalizing the connection between the approximating and interpolatory schemes in the stationary case, first formalized by Maillot & Stam using a push-back operator, to the non-stationary case. For such a combined scheme, we investigate its Cl convergence and exponential polynomial generation/reproduction property and get that it can reach C4 degree of smoothness and generate/reproduce certain exponential polynomials with suitable choices of the parameters. Besides, we give a more generalized combined scheme for the purpose of generating and reproducing more general exponential polynomials. The performance of our new schemes is illustrated by several numerical examples.

Keywords: Non-stationary; Combined subdivision; Convergence; Exponential polynomial generation/reproduction (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:313:y:2017:i:c:p:209-221

DOI: 10.1016/j.amc.2017.05.066

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