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2d polynomial interpolation: A symbolic approach with Mathematica

Ali Yazici
Organization: Atilim University
Department: Computer Engineering Department
Irfan Atlas
Tanil Ergenc
Organization: Middle East Technical University
Department: Mathematics Department
Journal / Anthology

International Conference on Computational Science and its Applications Proceedings
Year: 2005
Page range: 463-471

This paper extends a previous work done by the same authors on teaching 1d polynomial interpolation using Mathematica to higher dimensions. In this work, it is intended to simplify the theoretical discussions in presenting multidimensional interpolation in the 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 inerpolation.

*Mathematics > Algebra > Polynomials