Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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$C^1$ HERMITE INTERPOLATION WITH MPH QUARTICS USING THE SPEED REPARAMETRIZATION METHOD

  • Kim, Gwang-Il (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
  • Published : 2010.01.30
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Abstract

In this paper, we propose a new method to obtain $C^1$ MPH quartic Hermite interpolants generically for any $C^1$ Hermite data, by using the speed raparametrization method introduced in [16]. We show that, by this method, without extraordinary processes ($C^{\frac{1}{2}}$ Hermite interpolation introduced in [13]) for non-admissible cases, we are always able to find $C^1$ Hermite interpolants for any $C^1$ Hermite data generically, whether it is admissible or not.

Keywords

References

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