矩形网格上两类二元有理插值问题

发布时间：2018-05-01 16:36

  本文选题：多元函数 + 矩形网格　； 参考：《北京服装学院学报(自然科学版)》2017年03期

【摘要】：在计算数学研究中,多元函数插值问题是目前比较重要的话题.为了判断另外两类二元有理插值函数是否有解,得到二元有理插值函数的计算公式,在矩形网格上,我们根据二元多项式拉格朗日插值的计算公式,当有解情况下,获得了另外两类二元有理插值问题具体计算公式,同时得到了判断这两类有理插值问题有解的充分必要条件.实例表明,给出的二元有理插值是否有解的判别方法和计算公式是实用的.
[Abstract]:In the study of computational mathematics, the problem of multivariate function interpolation is an important topic at present. In order to judge whether the other two kinds of two element rational interpolating functions have solutions, we get the formula of the two element rational interpolation function. On the rectangular grid, we obtain the other formula according to the formula of the two element polynomial Lagrange interpolation. The specific calculation formulas for the two kinds of two element rational interpolation problems are obtained. At the same time, the sufficient and necessary conditions for judging the solution of the two kinds of rational interpolation problems are obtained. The example shows that the method and formula for the solution of the two element rational interpolation are practical.

【作者单位】： 北京服装学院基础教学部;
【基金】：北京市教委科技计划一般项目(SQKM201710012009) 北京服装学院教育教学改革立项项目(JG-1624);北京服装学院校级精品课程提升工程立项项目(JPTS-1609)
【分类号】：O241.3
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本文编号：1830234