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Boundary expansions for spline interpolation


Author: W. D. Hoskins
Journal: Math. Comp. 27 (1973), 829-830
MSC: Primary 65D15
DOI: https://doi.org/10.1090/S0025-5718-1973-0324875-1
MathSciNet review: 0324875
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Abstract | References | Similar Articles | Additional Information

Abstract: An explicit method is given for deriving the formulae for derivatives of the spline of order $ m + 1$ at two boundaries $ x = a,x = b$ in terms of known function values and computed mth derivatives of the spline.


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

  • [1] J. H. Ahlberg, E. N. Nilson & J. L. Walsh, The Theory of Splines and Their Applications, Academic Press, New York, 1967. MR 39 #684. MR 0239327 (39:684)
  • [2] R. T. Gregory & D. L. Karney, A Collection of Matrices for Testing Computational Algorithms, Wiley, New York, 1969. MR 40 #6752. MR 0253538 (40:6752)
  • [3] W. D. Hoskins & P. R. King, "Interpolation using periodic splines of odd order with equi-spaced knots," Comput. J., v. 15, 1972, pp. 283-284.
  • [4] M. J. D. Powell, On Best $ {L_2}$ Spline Approximations, AERE Report TP264, Harwell, England.
  • [5] H. Späth, Die Numerische Berechnung von interpolierenden Spline-Funktionen mit Blockunterrelaxation, Universität (TH) Karlsruhe, Karlsruhe, 1969. MR 42 #8659. MR 0273783 (42:8659)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1973-0324875-1
Keywords: Multipoint expansions, spline interpolation
Article copyright: © Copyright 1973 American Mathematical Society

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