Symbolic polynomial interpolation using Mathematica

Yazici A., Altas I., Ergenc T.

COMPUTATIONAL SCIENCE - ICCS 2004, PROCEEDINGS, cilt.3039, ss.364-369, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3039
  • Basım Tarihi: 2004
  • Dergi Adı: COMPUTATIONAL SCIENCE - ICCS 2004, PROCEEDINGS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.364-369
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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.