caa a22 4500 605497222 CHVBK 20210128100540.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10543-014-0513-1 doi (NATIONALLICENCE)springer-10.1007/s10543-014-0513-1 Speleers Hendrik Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Heverlee (Leuven), Belgium aut Inner products of box splines and their derivatives [Elektronische Daten] [Hendrik Speleers] 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. Springer Science+Business Media Dordrecht, 2014 Box splines nationallicence Multivariate B-splines nationallicence Derivatives nationallicence Inner products nationallicence Integration nationallicence BIT Numerical Mathematics Springer Netherlands 55/2(2015-06-01), 559-567 0006-3835 55:2<559 2015 55 10543 https://doi.org/10.1007/s10543-014-0513-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10543-014-0513-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Speleers Hendrik Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Heverlee (Leuven), Belgium aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Springer Netherlands 55/2(2015-06-01), 559-567 0006-3835 55:2<559 2015 55 10543