Details
| Original language | English |
|---|---|
| Pages (from-to) | 271-291 |
| Number of pages | 21 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 167 |
| Issue number | 2 |
| Early online date | 7 Feb 2004 |
| Publication status | Published - 1 Jun 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.
Keywords
- Cauchy-Vandermonde-systems, Polynomial B-splines, Prescribed poles, Rational B-splines
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Computational and Applied Mathematics, Vol. 167, No. 2, 01.06.2004, p. 271-291.
Research output: Contribution to journal › Article › Research › 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 -