On multivariate Hermite interpolation

1995 ◽  
Vol 4 (1) ◽  
pp. 207-259 ◽  
Author(s):  
Thomas Sauer ◽  
Yuan Xu
Keyword(s):  
Hermite Interpolation ◽  
Multivariate Hermite Interpolation

scholarly journals On the Singularity of Multivariate Hermite Interpolation of Total Degree

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Zhongyong Hu ◽  
Zhaoliang Meng ◽  
Zhongxuan Luo
Keyword(s):  
Numerical Method ◽  
Hermite Interpolation ◽  
Interpolation Space ◽  
Total Degree ◽  
Theoretical Argument ◽  
Multivariate Hermite Interpolation

We study the singularity of multivariate Hermite interpolation of type total degree onmnodes with3+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.

Multivariate Hermite interpolation on scattered point sets using tensor-product expo-rational B-splines

2011 ◽  
Author(s):  
Lubomir T. Dechevsky ◽  
Bo̸rre Bang ◽  
Arne Lakså ◽  
Peter Zanaty ◽  
George Venkov ◽  
...  
Keyword(s):  
Tensor Product ◽  
Hermite Interpolation ◽  
Point Sets ◽  
B Splines ◽  
Multivariate Hermite Interpolation
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