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Published in: BIT Numerical Mathematics 2/2015

01-06-2015

Inner products of box splines and their derivatives

Author: Hendrik Speleers

Published in: BIT Numerical Mathematics | Issue 2/2015

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Abstract

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.

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Metadata
Title
Inner products of box splines and their derivatives
Author
Hendrik Speleers
Publication date
01-06-2015
Publisher
Springer Netherlands
Published in
BIT Numerical Mathematics / Issue 2/2015
Print ISSN: 0006-3835
Electronic ISSN: 1572-9125
DOI
https://doi.org/10.1007/s10543-014-0513-1

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