@Article{JCM-19-2,
author = {Xu, Guo-Liang and I, Chuan, Chu and Xue, Wei-Min},
title = {Tetrahedral $C^m$ Interpolation by Rational Functions},
journal = {Journal of Computational Mathematics},
year = {2001},
volume = {19},
number = {2},
pages = {131--138},
abstract = {<p style="text-align: justify;">A general local $C^m (m \ge 0)$ tetrahedral interpolation scheme by polynomials of degree $4m+1$ plus low order rational functions from the given data is proposed. The scheme can have either $4m+1$ order algebraic precision if $C^{2m}$ data at vertices and $C^m$ data on faces are given or $k+E[k/3]+1$ order algebraic precision if $C^k (k \le 2m)$ data are given at vertices. The resulted interpolant and its partial derivatives of up to order $m$ are polynomials on the boundaries of the tetrahedra.</p>},
issn = {1991-7139},
doi = {https://doi.org/2001-JCM-8964},
url = {https://global-sci.com/article/85454/tetrahedral-cm-interpolation-by-rational-functions}
}