Abstract
Using the quadratic spline interpolates(x) fitting the data (x i,y i), 0≤i≤n and satisfying the end conditions′o=y′o, we give formulae approximatingy′ andy‴ at selected knots by orders up toO(h 4).
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Usmani, R.A. On quadratic spline interpolation. BIT 27, 615–622 (1987). https://doi.org/10.1007/BF01937280
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DOI: https://doi.org/10.1007/BF01937280