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Interpolation of multivariable functions with respect to random points

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Abstract

The numerical interpolation of multivariable functions has been solved before by the Monte Carlo method, where data points are assumed to be given on discrete lattice points. When data points are randomly distributed, it is very difficult to develop interpolation formulas. This paper deals with least squares interpolation of multivariable functions with respect to random points.

Zusammenfassung

Bei numerischer Interpolation von Funktionen mehrerer Veränderlicher mit Stützstellen in diskreten Gitterpunkten wurden früher Monte-Carlo-Methoden verwendet. Bei zufällig verteilten Stützstellen ist die Entwicklung von Interpolationsformeln besonders schwierig. Diese Arbeit benützt die Methode der kleinsten Quadrate zur Entwicklung eines Interpolationsverfahrens bei zufälligen Stützstellen.

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References

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Authors and Affiliations

  1. Department of Information Science, Kyoto University, Kyoto, Japan

    K. Ichida &  T. Kiyono

Authors
  1. K. Ichida
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  2. T. Kiyono
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Ichida, K., Kiyono, T. Interpolation of multivariable functions with respect to random points. Computing 13, 229–233 (1974). https://doi.org/10.1007/BF02241715

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  • DOI: https://doi.org/10.1007/BF02241715

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