Inner products of box splines and their derivatives

Verfasser / Beitragende:
[Hendrik Speleers]
Ort, Verlag, Jahr:
2015
Enthalten in:
BIT Numerical Mathematics, 55/2(2015-06-01), 559-567
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10543-014-0513-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10543-014-0513-1 
100 1 |a Speleers  |D Hendrik  |u Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Heverlee (Leuven), Belgium  |4 aut 
245 1 0 |a Inner products of box splines and their derivatives  |h [Elektronische Daten]  |c [Hendrik Speleers] 
520 3 |a A simple and explicit expression is given for the inner product of (higher order) derivatives of multivariate box splines and their translates. We also show that the energy inner product related to a linear partial differential equation discretized with a set of shifted box splines can be interpreted as an evaluation of the differential operator applied to a higher order box spline. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Box splines  |2 nationallicence 
690 7 |a Multivariate B-splines  |2 nationallicence 
690 7 |a Derivatives  |2 nationallicence 
690 7 |a Inner products  |2 nationallicence 
690 7 |a Integration  |2 nationallicence 
773 0 |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/2(2015-06-01), 559-567  |x 0006-3835  |q 55:2<559  |1 2015  |2 55  |o 10543 
856 4 0 |u https://doi.org/10.1007/s10543-014-0513-1  |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/s10543-014-0513-1  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Speleers  |D Hendrik  |u Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Heverlee (Leuven), Belgium  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/2(2015-06-01), 559-567  |x 0006-3835  |q 55:2<559  |1 2015  |2 55  |o 10543