2005•Journal of Southwest Jiaotong UniversityRequires access

Solving Hermite Interpolation Functions with the Method of Divided Difference at the Same Node

Feng Tian-xiang

Abstract

To solve cubic-Hermite interpolation functions, the method of divided difference at same node was used, and the result similar to Newton's interpolation function was obtained. The proposed method is much simpler compared with Lagrange interpolation with base function. An error formula for cubic-Hermite's interpolation function was derived and proven for general cases.

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Key concepts: Hermite interpolation, Monotone cubic interpolation, Cubic Hermite spline, Interpolation (computer graphics), Birkhoff interpolation, Mathematics, Spline interpolation, Node (physics)