Analysis of the construction of local interpolation cubic splines on the basis of detailed data.

Currently, the use of spline functions in the development of Science and technology is a topical issue. Spline features the classic interpolation has several advantages in terms of rapprochement from multiples. Based on clearly given experiments, the construction of a local interpolation cubic spline function was analyzed based on a linear combination of parabolas with 2 common points. In this paper, all the properties of the local interpolation cubic spline functions built at each interval at the connection node points are analyzed on the basis of several experimental data and on the basis of numerical processing. The continuity of local interpolation cubic spline functions at all connection nodes was checked using graphs and numerical analysis based on concrete examples. [ABSTRACT FROM AUTHOR]