Boundary expansions for spline interpolation
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- by W. D. Hoskins PDF
- Math. Comp. 27 (1973), 829-830 Request permission
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
- J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The theory of splines and their applications, Academic Press, New York-London, 1967. MR 0239327
- Robert T. Gregory and David L. Karney, A collection of matrices for testing computational algorithms, Wiley-Interscience [A division of John Wiley & Sons, Inc.], New York-London-Sydney, 1969. MR 0253538 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. M. J. D. Powell, On Best ${L_2}$ Spline Approximations, AERE Report TP264, Harwell, England.
- Helmut Späth, Die numerische Berechnung von interpolierenden Spline-Funktionen mit Blockunterrelaxation, Universität Karlsruhe (TH), Karlsruhe, 1969 (German). Zur Erlangung des akademischen Grades eines Doktors der Naturwissenschaften von der Fakultät für Naturwissenschaften I der Universität (TH) Karlsruhe genehmigte Dissertation. MR 0273783
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 829-830
- MSC: Primary 65D15
- DOI: https://doi.org/10.1090/S0025-5718-1973-0324875-1
- MathSciNet review: 0324875