2d polynomial interpolation: A symbolic approach with mathematica

Date

2005-01-01

Author

Yazıcı, Adnan
Ergenc, T

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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.

Subject Keywords

Polynomial interpolation, Interpolation problem, Interpolation point, Taylor polynomial, Lagrange polynomial

URI

https://hdl.handle.net/11511/62857

Journal

COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2005, PT 3

Collections

Department of Computer Engineering, Article

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Citation Formats

A. Yazıcı and T. Ergenc, “2d polynomial interpolation: A symbolic approach with mathematica,” COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2005, PT 3, pp. 463–471, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62857.