Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 271-291 |
| Seitenumfang | 21 |
| Fachzeitschrift | Journal of Computational and Applied Mathematics |
| Jahrgang | 167 |
| Ausgabenummer | 2 |
| Frühes Online-Datum | 7 Feb. 2004 |
| Publikationsstatus | Veröffentlicht - 1 Juni 2004 |
Abstract
Spaces of rational splines of maximal smoothness are considered which are constructed from certain rational functions with prescribed poles. For them a basis of splines having minimal compact supports was constructed in the literature. These functions which are called rational B-splines are obtained by solving certain linear equations with a block matrix depending on a parameter ε > 0. It is shown that in the limit ε→0 they tend to certain polynomial B-splines.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Computational Mathematics
- Mathematik (insg.)
- Angewandte Mathematik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Journal of Computational and Applied Mathematics, Jahrgang 167, Nr. 2, 01.06.2004, S. 271-291.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On rational B-splines with prescribed poles
AU - Buchwald, B.
AU - Mühlbach, G.
PY - 2004/6/1
Y1 - 2004/6/1
N2 - Spaces of rational splines of maximal smoothness are considered which are constructed from certain rational functions with prescribed poles. For them a basis of splines having minimal compact supports was constructed in the literature. These functions which are called rational B-splines are obtained by solving certain linear equations with a block matrix depending on a parameter ε > 0. It is shown that in the limit ε→0 they tend to certain polynomial B-splines.
AB - Spaces of rational splines of maximal smoothness are considered which are constructed from certain rational functions with prescribed poles. For them a basis of splines having minimal compact supports was constructed in the literature. These functions which are called rational B-splines are obtained by solving certain linear equations with a block matrix depending on a parameter ε > 0. It is shown that in the limit ε→0 they tend to certain polynomial B-splines.
KW - Cauchy-Vandermonde-systems
KW - Polynomial B-splines
KW - Prescribed poles
KW - Rational B-splines
UR - http://www.scopus.com/inward/record.url?scp=2442570687&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2003.10.004
DO - 10.1016/j.cam.2003.10.004
M3 - Article
AN - SCOPUS:2442570687
VL - 167
SP - 271
EP - 291
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 2
ER -