I need a reference where quadratic spline interpolation with spline having additional knots lying between the provided reference points was introduced for the first time. Can anybody give a hint?
2026-03-26 17:28:19.1774546099
Quadratic spline interpolation: original reference
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A good place to start would be the book "A Practical Guide to Splines" by Carl deBoor.
Or, you could search through deBoor's spline bibliography here.
A couple of early works are:
W.J. Kammerer, G.W. Reddien, R.S. Varga; Quadratic interpolatory splines; Numer. Math., 22 (1974), pp. 241–259
M.J. Marsden; Quadratic spline interpolation; Bull. Amer. Math. Soc., 80 (1974), pp. 903–906