一类特殊的差分插值——公式推导与应用

A Special Difference Interpolation——Formula Derivation and Application

  • 摘要: 本文给出了函数f(x,y)由已知点构违的向前、中间和向后变换差分公式。指出一元等距差分公式是变换差分公式的特例,通过变换把一元插值公式推广就可得到相应的变换差分公式。利用本文给出的公式可解决f(x,y)在平面斜线上点的函数值的近似计算问题。

     

    Abstract: In this paper,the forward,backward and intermediate difference formulae of the function F(x,y) are given.It points out:one argument equal step difference formula is a special example of the mapping difference and the mapping difference is obtained by one argument difference by mapping .By the use of these formulae the approximate evaluation of points in a plane stoping line can be solved.

     

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