In this paper? we discussed the existence and uniqueness and approximation degree of interpolation splines by S: with the type - Ⅱ triangulations on rectangular.
We establish the interpolation schemes by the space of C- bivariate piece-wise quartic polynomials defined on a much more general tiangulation of a conn nected polygonal domain Ω. These schemes demand the location va...We establish the interpolation schemes by the space of C- 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 / on the grid points and some other points of triangulation Δ of Ω. At last, we describe the reccurent computing method for interpolant splines.展开更多
基金国家自然科学基金(the National Natural Science Foundation of China under Grant No.20206033)湖南省自然科学基金(the Natural Science Foundation of Hunan Province of China under Grant No.06JJY4073)湖南省教育厅科研资助项目(No.06C791)
文摘In this paper? we discussed the existence and uniqueness and approximation degree of interpolation splines by S: with the type - Ⅱ triangulations on rectangular.
文摘We establish the interpolation schemes by the space of C- 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 / on the grid points and some other points of triangulation Δ of Ω. At last, we describe the reccurent computing method for interpolant splines.
