Title
Polynomial interpolation on interlacingrectangular grids.
Abstract
In this paper we establish the unisolvence of any interlacing pair of rectangular grids of points with respect to a large class of associated polynomial spaces. This includes interpolation on Padua points and the schemes of Morrow and Patterson (1978), Xu (1996), and Erb et al. (2016). We use Newton polynomials and divided differences and an apparently new formula for determinants of certain divided difference matrices.
Year
DOI
Venue
2017
10.1016/j.jat.2017.06.002
Journal of Approximation Theory
Keywords
Field
DocType
primary,secondary
Polynomial,Polynomial interpolation,Multivariate interpolation,Mathematical analysis,Interpolation,Divided differences,Linear interpolation,Hermite interpolation,Mathematics,Padua points
Journal
Volume
Issue
ISSN
222
C
0021-9045
Citations 
PageRank 
References 
0
0.34
3
Authors
1
Name
Order
Citations
PageRank
Michael S. Floater11333117.22