﻿ 多元插值格式的计算机实现

# 多元插值格式的计算机实现Acquired by Computer on the Schemes of Multivariate Interpolation

>Multivariate interpolation is one of the hot research problems of computational mathematics, which derives its widespread application in the list, the multiple functions of finite element method, industrial prod- uct design, research and production. This paper first introduces the basic concepts of multivariate interpola- tion, and then studies the existence and uniqueness of multivariate interpolation function, that is, how to cho- ose the set of nodes to make the existence and uniqueness of multivariate interpolation polynomial function at the same time; this paper gives some construction methods on set of nodes for multivariate interpolation, such as: linear superposition method and curve superposition method. The application of construction method is given in this paper. We use MATLAB software to realize binary linear interpolation, binary quadric and bi- nary cubic interpolation and find that interpolation effect is also getting better and better along with the in- crease in the degree of interpolation polynomial

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