Symbolic polynomial interpolation using Mathematica

Date

2004-01-01

Author

Yazıcı, Adnan
Ergenc, T

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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.

Subject Keywords

Polynomial interpolation, Interpolation point, Lagrange interpolation, Hermite interpolation, Symbolic power

URI

https://hdl.handle.net/11511/62812

Journal

COMPUTATIONAL SCIENCE - ICCS 2004, PROCEEDINGS

Collections

Department of Computer Engineering, Article

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Citation Formats

A. Yazıcı and T. Ergenc, “Symbolic polynomial interpolation using Mathematica,” COMPUTATIONAL SCIENCE - ICCS 2004, PROCEEDINGS, pp. 364–369, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62812.