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计算数学  1993 

A METHOD FOR CONSTRUCTING C~2 INTERPOLATION FUNCTIONS OVER AN ARBITRARY TRIANGLE
任意三角形域上的一种C~2插值方法

Keywords: 三角形域,插值法,二元函数,逼近

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Abstract:

In this paper, a Boolean sum algorithm is presented for constructing C~2 interpolat- ing functions over an arbitrary triangle. The algorithm is simple to construct and easy to calculate, and its approximation order O(h~(12)); its algebraic precision set includes all polynomials of degree >11. Finally, an example is given.

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