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On Some Recent Methods for Bivariate Shape-Preserving Interpolation

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Multivariate Approximation and Interpolation

Abstract

The purpose of this paper is to give a brief illustration of two methods for the shape-preserving interpolation of 2-D data on rectangular grids, starting from their common univariate basis. In addition, their convergence properties will be discussed.

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© 1990 Springer Basel AG

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Costantini, P. (1990). On Some Recent Methods for Bivariate Shape-Preserving Interpolation. In: Haußmann, W., Jetter, K. (eds) Multivariate Approximation and Interpolation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 94. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5685-0_4

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  • DOI: https://doi.org/10.1007/978-3-0348-5685-0_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5686-7

  • Online ISBN: 978-3-0348-5685-0

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