International Conference on Computational Science and Its Applications

ICCSA 2005: Computational Science and Its Applications – ICCSA 2005 pp 463-471

2d Polynomial Interpolation: A Symbolic Approach with Mathematica

  • Ali Yazici
  • Irfan Altas
  • Tanil Ergenc
Conference paper

DOI: 10.1007/11424857_49

Volume 3482 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Yazici A., Altas I., Ergenc T. (2005) 2d Polynomial Interpolation: A Symbolic Approach with Mathematica. In: Gervasi O. et al. (eds) Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3482. Springer, Berlin, Heidelberg

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Ali Yazici
    • 1
  • Irfan Altas
    • 2
  • Tanil Ergenc
    • 3
  1. 1.Computer Engineering DepartmentTOBB University of Economics & TechnologyAnkaraTurkey
  2. 2.Charles Sturt UniversityWagga WaggaAustralia
  3. 3.Mathematics DepartmentMiddle East Technical UniversityAnkaraTurkey