|ISSN 1088-6842(online) ISSN 0025-5718(print)|
Endpoint formulas for interpolatory cubic splines
Abstract: In the absence of known endpoint derivatives, the usual procedure is to use a ``natural'' spline interpolant which Kershaw has shown to have error except near the endpoints. This note observes that either the use of appropriate finite-difference approximations for the endpoint derivatives or a proposed modification of the interpolation algorithm leads to error uniformly in the interval of approximation.
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