2d polynomial interpolation: A symbolic approach with mathematica


Yazici A., Altas I., Ergenc T.

COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2005, PT 3, cilt.3482, ss.463-471, 2005 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 3482
  • Basım Tarihi: 2005
  • Dergi Adı: COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2005, PT 3
  • Sayfa Sayıları: ss.463-471

Özet

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.