2d Polynomial Interpolation: A Symbolic Approach with Mathematica
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- Yazici A., Altas I., Ergenc T. (2005) 2d Polynomial Interpolation: A Symbolic Approach with Mathematica. In: Gervasi O. et al. (eds) Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3482. Springer, Berlin, Heidelberg
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 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.
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