On the Singularity of Multivariate Hermite Interpolation of Total Degree

We study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3+d<m≤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....

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Bibliographic Details
Main Authors: Zhongyong Hu, Zhaoliang Meng, Zhongxuan Luo
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/7515876