2d polynomial interpolation: A symbolic approach with mathematica
COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2005, PT 3, vol.3482, pp.463-471, 2005 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 3482
- Publication Date: 2005
- Journal Name: COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2005, PT 3
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
- Page Numbers: pp.463-471
- Middle East Technical University Affiliated: No
Abstract
This paper extends a previous work done by the same authors on teaching 1d polynomial interpolation using Mathematica [1] 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.