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2d polynomial interpolation: A symbolic approach with Mathematica
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| Organization: | Atilim University |
| Department: | Computer Engineering Department |
| Organization: | Middle East Technical University |
| Department: | Mathematics Department |
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| International Conference on Computational Science and its Applications Proceedings |
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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.
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