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Local spline interpolation schemes in one and several variables

Invited Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1354)

Abstract

In the first part of this paper we briefly review some recent results pertaining to the construction of compactly supported fundamental functions for univariate Lagrange interpolation by splines. In the second part of the paper we discuss several possible extensions of these results to a multivariate setting.

Keywords

  • Interpolation Operator
  • Fundamental Function
  • Piecewise Polynomial
  • Subdivision Algorithm
  • Interior Lattice Point

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Partially supported by NATO Travel Grant DJRG 639/84.

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References

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© 1988 Springer-Verlag

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Dahmen, W., Goodman, T.N.T., Micchelli, C.A. (1988). Local spline interpolation schemes in one and several variables. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089580

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  • DOI: https://doi.org/10.1007/BFb0089580

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50443-6

  • Online ISBN: 978-3-540-46005-3

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