TETRAHEDRAL Cm INTERPOLATION BY RATIONAL FUNCTIONS

• 作者: Chuan I Chu Guo-liang Xu Wei-min Xue
• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Cm interpolation Rational functions Tetrahedra.
• 年，卷（期）: 2001,（2）
• 页码范围: 131-138
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

A general local Cm(m ≥ 0) tetrahedral interpolation scheme bypolynomials of degree 4m + l plus low order rational functions from the given data is proposed. The scheme can have either 4m + l order algebraic precision if C2m data at vertices and Cm data on faces are given or k + E[k/3] + 1 order algebraic precision if Ck (k ≤ 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.