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On the Singularity of Multivariate Hermite Interpolation of Total Degree
Joint Authors
Luo, Zhongxuan
Hu, Zhongyong
Meng, Zhaoliang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
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.
American Psychological Association (APA)
Hu, Zhongyong& Meng, Zhaoliang& Luo, Zhongxuan. 2016. On the Singularity of Multivariate Hermite Interpolation of Total Degree. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103553
Modern Language Association (MLA)
Hu, Zhongyong…[et al.]. On the Singularity of Multivariate Hermite Interpolation of Total Degree. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1103553
American Medical Association (AMA)
Hu, Zhongyong& Meng, Zhaoliang& Luo, Zhongxuan. On the Singularity of Multivariate Hermite Interpolation of Total Degree. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1103553
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103553