摘要
本文以三元函数Lagrange插值研究结果为基础,对定义于双曲柱面上的Lagrange插值正则性问题进行了较为详尽的研究,基本搞清了这类正则结点组的基本理论和拓扑结构,得到了构造Pn(3)插值正则结点组的添加双曲柱面法以及构造沿双曲柱面的插值正则结点组的迭加构造法,最后通过实验算例验证了算法的有效性。
In this paper, based on the results of Lagrange interpolation for binary functions, the regularization problem of Lagrange interpolation on hyperbolic cylinders is further studied. The basic theory and topological structure of this kind of regular node group are clarified, and the method of adding hyperbolic cylinder to construct the regular node group of ternary Euclidean space interpolation and the superposition method to construct the regular node group of interpolation along hyperbolic cylinder are obtained. Finally, an experimental example is given to verify the effectiveness of the results.
出处
《应用数学进展》
2021年第7期2627-2631,共5页
Advances in Applied Mathematics
