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A non-stationary combined subdivision scheme generating exponential polynomials.
- Source :
-
Applied Mathematics & Computation . Nov2017, Vol. 313, p209-221. 13p. - Publication Year :
- 2017
-
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 C l convergence and exponential polynomial generation/reproduction property and get that it can reach C 4 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 313
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 124046833
- Full Text :
- https://doi.org/10.1016/j.amc.2017.05.066