Computational Science and Its Applications – ICCSA 2005

Volume 3482 of the series Lecture Notes in Computer Science pp 463-471

2d Polynomial Interpolation: A Symbolic Approach with Mathematica

  • Ali YaziciAffiliated withComputer Engineering Department, TOBB University of Economics & Technology
  • , Irfan AltasAffiliated withCharles Sturt University
  • , Tanil ErgencAffiliated withMathematics Department, Middle East Technical University

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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.