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Symbolic Polynomial Interpolation Using Mathematica

  • Ali Yazici
  • Irfan Altas
  • Tanil Ergenc
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3039)

Abstract

This paper discusses teaching polynomial interpolation with the help of Mathematica. The symbolic power of Mathematica is utilized to prove a theorem for the error term in Lagrange interpolating formula. Derivation of the Lagrange formula is provided symbolically and numerically. Runge phenomenon is also illustrated. A simple and efficient symbolic derivation of cubic splines is also provided.

Keywords

Polynomial Interpolation Interpolation Point Lagrange Interpolation Hermite Interpolation Symbolic Power 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Ali Yazici
    • 1
  • Irfan Altas
    • 2
  • Tanil Ergenc
    • 3
  1. 1.Computer Engineering DepartmentAtilim UniversityAnkaraTurkey
  2. 2.School of Information StudiesWagga WaggaAustralia
  3. 3.Mathematics DepartmentMiddle East Technical UniversityAnkaraTurkey

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