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AN INTERPOLATION METHOD BY BIVARIATE CUBIC SPLINES WITH C^2 -JOIN ON TYPE-II TRIANGULARS AT A RECTANGULAR DOMAIN
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作者 Tianxiang Zhou Peicai Xuan 《Analysis in Theory and Applications》 2009年第2期125-141,共17页
In this paper, an interpolating method for bivariate cubic splines with C2-join on type-II triangular at a rectangular domain is given, and the approximation degree, inter- polating existence and uniqueness of the cub... In this paper, an interpolating method for bivariate cubic splines with C2-join on type-II triangular at a rectangular domain is given, and the approximation degree, inter- polating existence and uniqueness of the cubic splines are studied. 展开更多
关键词 type-II triangulation bivariate cubic spline
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On the Transfinite interpolation and Approximation by a Class of Periodic Bivariate Cubic Splines on Type-Ⅱ Triangulation
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作者 游功强 《Journal of Mathematical Research and Exposition》 CSCD 1999年第3期521-532,共12页
In this paper, we discuss the transfinite interpolation and approxiulation by a class of periodic bivariate cubic Splines on type-Ⅱ triangulated partition △(2)mn. the existence, uniqueness and the expression o... In this paper, we discuss the transfinite interpolation and approxiulation by a class of periodic bivariate cubic Splines on type-Ⅱ triangulated partition △(2)mn. the existence, uniqueness and the expression of interpolation periodic bivariate splines are given. And at last, we estimate their approximation order. 展开更多
关键词 transfinite interpolation periodic bivariate cubic splines type-Ⅱ triangulation approximation order
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