| 檀结庆.特殊形式的多元有理样条插值(英文)[J].数学研究及应用,1993,13(1):73~78 |
| 特殊形式的多元有理样条插值(英文) |
| Interpolating Multivariate Rational Splines of Speical Forms |
| 投稿时间：1990-11-12 |
| DOI：10.3770/j.issn:1000-341X.1993.01.016 |
| 中文关键词: |
| 英文关键词: |
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| 中文摘要: |
| 有理样条插值问题最早是由R.Schaback提出的,由于R.Schaback考虑此问题时涉及到了非线性方程组的求解,因而实现起来比较复杂.后来,王仁宏等研究了几类特殊形式的插值有理样条函数,避开了求解非线性方程的困难.能否在多元情形下建立类似的结果?本文对此作出了肯定的回答,并就二元情形的三角剖分和四边形剖分建立了几类特殊形式的插值多元有理样条,构造性地证明了解的存在性和唯一性. |
| 英文摘要: |
| Very few results have been achived on interpolating rational splines since R. Schaback pioneered the study of the subject in early seventies, to say nothing of interpo-lating multivariate rational splines. Given in this paper are a few kinds of interpolating multivariate rational splines in triangulation and quadrilateral partition. |
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