高俊斌.二元C1四次样条插值(英文)[J].数学研究及应用,1991,11(3):433~442 |
二元C1四次样条插值(英文) |
Interpolation by C1 Quartic Bivariate Splines |
投稿时间:1989-12-10 |
DOI:10.3770/j.issn:1000-341X.1991.03.026 |
中文关键词: |
英文关键词: |
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中文摘要: |
本文在较一般的平面三角剖分激造了一种C1四次样条插值格式.这种格式仅用到被插函数的函数值与一阶导数值信息,并得出插值样条的递推计算格式. |
英文摘要: |
We establish the interpolation schemes by the space of C1 bivariate piece-wise quartic polynomials defined on a much more general tiangulation of a conn nected polygonal domain Ω. These schemes demand the location value and partial derivatives of the function f on the grid points and some other points of triangulation Δ of Ω. At last, we describe the reccurent computing method for interpolant splines. |
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