Superconvergent $$C^1$$ C 1 cubic spline quasi-interpolants on Powell-Sabin partitions
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| 024 | 7 | 0 | |a 10.1007/s10543-014-0523-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0523-z | ||
| 245 | 0 | 0 | |a Superconvergent $$C^1$$ C 1 cubic spline quasi-interpolants on Powell-Sabin partitions |h [Elektronische Daten] |c [Driss Sbibih, Abdelhafid Serghini, Ahmed Tijini, Ahmed Zidna] |
| 520 | 3 | |a In this paper we introduce a B-spline representation of the cubic Hermite Powell-Sabin interpolant of any polynomial or any piecewise polynomial, over Powell-Sabin partitions of class at least $$C^1$$ C 1 , in terms of their polar forms. We use this B-spline representation for constructing several superconvergent discrete cubic spline quasi-interpolants which approximate a function $$f$$ f better than the superconvergent quadratic ones developed in one of our recent published papers. The new results presented in this work are an improvement and a generalization of those studied recently in the literature. We also illustrate by numerical examples that global errors and cubature rules based on these cubic Powell-Sabin spline quasi-interpolants are positively affected by the superconvergence phenomenon. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Polar forms |2 nationallicence | |
| 690 | 7 | |a Quasi-interpolation |2 nationallicence | |
| 690 | 7 | |a splines |2 nationallicence | |
| 690 | 7 | |a Powell-Sabin partitions |2 nationallicence | |
| 700 | 1 | |a Sbibih |D Driss |u Laboratoire MATSI, FSO-EST, URAC05, Université Mohammed 1er, Oujda, Maroc |4 aut | |
| 700 | 1 | |a Serghini |D Abdelhafid |u Laboratoire MATSI, EST, URAC05, Université Mohammed 1er, Oujda, Maroc |4 aut | |
| 700 | 1 | |a Tijini |D Ahmed |u Laboratoire MATSI, FSO-EST, URAC05, Université Mohammed 1er, Oujda, Maroc |4 aut | |
| 700 | 1 | |a Zidna |D Ahmed |u LITA, Université de Lorraine, Metz, France |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 797-821 |x 0006-3835 |q 55:3<797 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0523-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0523-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sbibih |D Driss |u Laboratoire MATSI, FSO-EST, URAC05, Université Mohammed 1er, Oujda, Maroc |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Serghini |D Abdelhafid |u Laboratoire MATSI, EST, URAC05, Université Mohammed 1er, Oujda, Maroc |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tijini |D Ahmed |u Laboratoire MATSI, FSO-EST, URAC05, Université Mohammed 1er, Oujda, Maroc |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zidna |D Ahmed |u LITA, Université de Lorraine, Metz, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 797-821 |x 0006-3835 |q 55:3<797 |1 2015 |2 55 |o 10543 | ||