2d polynomial interpolation: a symbolic approach with mathematica

  • Authors:

  • Ali Yazici;Irfan Altas;Tanil Ergenc

  • Affiliations:

  • Computer Engineering Department, TOBB University of Economics & Technology, Ankara, Turkey;Charles Sturt University, Wagga Wagga, Australia;Mathematics Department, Middle East Technical University, Ankara, Turkey

  • Venue:
  • ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
  • Year:
  • 2005

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Abstract

This paper extends a previous work done by the same authors on teaching 1d polynomial interpolation using Mathematica [1] to higher dimensions. In this work, it is intended to simplify the the theoretical discussions in presenting multidimensional interpolation in a classroom environment by employing Mathematica's symbolic properties. In addition to symbolic derivations, some numerical tests are provided to show the interesting properties of the higher dimensional interpolation problem. Runge's phenomenon was displayed for 2d polynomial interpolation.