Symbolic polynomial interpolation using Mathematica

Yazici A., Altas I., Ergenc T.

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

  • Publication Type: Article / Article
  • Volume: 3039
  • Publication Date: 2004
  • Journal Name: COMPUTATIONAL SCIENCE - ICCS 2004, PROCEEDINGS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.364-369
  • Middle East Technical University Affiliated: No

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.