Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Endpoint formulas for interpolatory cubic splines

Authors: Thomas I. Seidman and Robert J. Korsan
Journal: Math. Comp. 26 (1972), 897-900
MSC: Primary 65D05
MathSciNet review: 0314228
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In the absence of known endpoint derivatives, the usual procedure is to use a ``natural'' spline interpolant which Kershaw has shown to have $ \mathcal{O}({h^4})$ 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 $ \mathcal{O}({h^4})$ error uniformly in the interval of approximation.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65D05

Retrieve articles in all journals with MSC: 65D05

Additional Information

Keywords: Interpolation, cubic splines, endpoint formula
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society