Title
C1 Superconvergent quasi-interpolation based on polar forms
Abstract
In this paper, we use C1 cubic B-splines to construct the Hermite interpolant of any polynomial in terms of their blossom. Consequently, a simple method is presented to get superconvergence phenomenon of cubic spline quasi-interpolants at the knots of a uniform partition. Thanks to this phenomenon, the cubic spline quasi-interpolant provides an interesting approximation very accurate at the superconvergence points. Numerical results are given to illustrate the theoretical ones.
Year
DOI
Venue
2015
10.1016/j.matcom.2014.12.004
Mathematics and Computers in Simulation
Keywords
Field
DocType
B-spline,Polar form,Quasi-interpolant
Spline (mathematics),Mathematical optimization,Spline interpolation,Hermite spline,Mathematical analysis,Interpolation,Smoothing spline,Superconvergence,Monotone cubic interpolation,Cubic Hermite spline,Mathematics
Journal
Volume
ISSN
Citations 
118
0378-4754
1
PageRank 
References 
Authors
0.43
8
3
Name
Order
Citations
PageRank
Ahmed Boujraf110.43
M. Tahrichi210.43
Ahmed Tijini3205.11