Abstract
Given the set of n + 1 data points,
we have seen how we can obtain a polynomial function of degree (at most) n, \(p(x) = a_{n}x^{n} + a_{n-1}x^{n-1} + \cdots + a_{1}x + a_{0}\) that interpolates these points. That is:
This, however, has a major drawback: the polynomial can have a very high degree (up to n) and hence, the interpolating function can oscillate too much. The oscillation may be quite wild even when all the y-values of the data set given are essentially constant.
The original version of this chapter was revised. An erratum to this chapter can be found at DOI 10.1007/978-3-319-16739-8_8
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Anastassiou, G.A., Mezei, R.A. (2015). Spline Interpolation. In: Numerical Analysis Using Sage. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-16739-8_6
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DOI: https://doi.org/10.1007/978-3-319-16739-8_6
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