Polynomial interpolation on interlacing rectangular grids

dc.date.accessioned	2018-09-18T09:05:06Z
dc.date.available	2019-06-29T22:46:51Z
dc.date.created	2018-02-01T10:26:56Z
dc.date.issued	2017
dc.identifier.citation	Floater, Michael S. . Polynomial interpolation on interlacing rectangular grids. Journal of Approximation Theory. 2017, 222, 64-73
dc.identifier.uri	http://hdl.handle.net/10852/64779
dc.description.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, Xu, and Erb et al. We use Newton polynomials and divided differences and an apparently new formula for determinants of certain divided difference matrices.	en_US
dc.language	EN
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title	Polynomial interpolation on interlacing rectangular grids	en_US
dc.type	Journal article	en_US
dc.creator.author	Floater, Michael S.
cristin.unitcode	185,15,13,45
cristin.unitname	Differensiallikninger og beregningsorientert matematikk
cristin.ispublished	true
cristin.fulltext	postprint
cristin.qualitycode	1
dc.identifier.cristin	1560288
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal of Approximation Theory&rft.volume=222&rft.spage=64&rft.date=2017
dc.identifier.jtitle	Journal of Approximation Theory
dc.identifier.volume	222
dc.identifier.startpage	64
dc.identifier.endpage	73
dc.identifier.doi	10.1016/j.jat.2017.06.002
dc.identifier.urn	URN:NBN:no-67314
dc.type.document	Tidsskriftartikkel	en_US
dc.type.peerreviewed	Peer reviewed
dc.source.issn	0021-9045
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/64779/2/padua.pdf
dc.type.version	AcceptedVersion