On the singularity of multivariate Hermite interpolation of total degree
type: Item
instance of: scholarly article
title: On the singularity of multivariate Hermite interpolation of total degree
zbMATH Open document ID: 1374.41002
DOI: 10.1155/2016/7515876
author: Zhongyong Hu
author: Zhaoliang Meng
author: Zhongxuan Luo
published in: Discrete Dynamics in Nature and Society
publication date: 2017-11-13T00:00:00Z
review text: Summary: We study the singularity of multivariate Hermite interpolation of type total degree on \(m\) nodes with \(3 + d < m \leq d(d + 3) / 2\). We first check the number of the interpolation conditions and the dimension of interpolation space. And then the singularity of the interpolation schemes is decided for most cases. Also some regular interpolation schemes are derived, a few of which are proved due to theoretical argument and most of which are verified by numerical method. There are some schemes to be decided and left open.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 6806287
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7515876
OpenAlex ID: W2523315932
Wikidata QID: Q59123642
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description: scientific article; zbMATH DE number 6806287