2d Polynomial Interpolation: A Symbolic Approach with Mathematica

Ali Yazici; Irfan Altas; Tanil Ergenc

doi:10.1007/11424857_49

2d Polynomial Interpolation: A Symbolic Approach with Mathematica

Ali Yazici, Irfan Altas, Tanil Ergenc

Research output: Book chapter/Published conference paper › Conference paper › peer-review

4 Citations (Scopus)

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.

Original language	English
Title of host publication	ICCSA 2005 Part III
Editors	O. Gervasi, M.L. Gavrilova, V. Kumar, A LaganÃ LaganÃ , H.P. Lee, Y. Mun, D. Taniar, C J K Tan
Place of Publication	Berlin, Germany
Publisher	Springer
Pages	463-471
Number of pages	9
Volume	3482/2005
DOIs	https://doi.org/10.1007/11424857_49
Publication status	Published - 2005
Event	International Conference on Computational Science and its Applications (ICCSA) - Singapore, Singapore Duration: 09 May 2005 → 12 May 2005

Conference

Conference	International Conference on Computational Science and its Applications (ICCSA)
Country/Territory	Singapore
Period	09/05/05 → 12/05/05

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10.1007/11424857_49

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title = "2d Polynomial Interpolation: A Symbolic Approach with Mathematica",

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.",

author = "Ali Yazici and Irfan Altas and Tanil Ergenc",

note = "Imported on 03 May 2017 - DigiTool details were: publisher = Berlin, Germany: Springer, 2005. editor/s (773b) = Gervasi, O ; Gavrilova, M L ; Kumar, V ; Lagan{\~A} , A ; Lee, H P ; Mun, Y ; Taniar, D ; Tan, C J K ; Event dates (773o) = 09 - 12 May, 2005; Parent title (773t) = International Conference on Computational Science and its Applications (ICCSA). ISSNs: 0302-9743; ; International Conference on Computational Science and its Applications (ICCSA) ; Conference date: 09-05-2005 Through 12-05-2005",

year = "2005",

doi = "10.1007/11424857_49",

language = "English",

volume = "3482/2005",

pages = "463--471",

editor = "O. Gervasi and M.L. Gavrilova and V. Kumar and Lagan{\~A} , {A Lagan{\~A} } and H.P. Lee and Y. Mun and D. Taniar and Tan, {C J K}",

booktitle = "ICCSA 2005 Part III",

publisher = "Springer",

address = "United States",

}

Yazici, A, Altas, I & Ergenc, T 2005, 2d Polynomial Interpolation: A Symbolic Approach with Mathematica. in O Gervasi, ML Gavrilova, V Kumar, AL LaganÃ , HP Lee, Y Mun, D Taniar & CJK Tan (eds), ICCSA 2005 Part III. vol. 3482/2005, Springer, Berlin, Germany, pp. 463-471, International Conference on Computational Science and its Applications (ICCSA), Singapore, 09/05/05. https://doi.org/10.1007/11424857_49

2d Polynomial Interpolation: A Symbolic Approach with Mathematica. / Yazici, Ali; Altas, Irfan; Ergenc, Tanil.
ICCSA 2005 Part III. ed. / O. Gervasi; M.L. Gavrilova; V. Kumar; A LaganÃ LaganÃ ; H.P. Lee; Y. Mun; D. Taniar; C J K Tan. Vol. 3482/2005 Berlin, Germany: Springer, 2005. p. 463-471.

Research output: Book chapter/Published conference paper › Conference paper › peer-review

TY - GEN

T1 - 2d Polynomial Interpolation

T2 - International Conference on Computational Science and its Applications (ICCSA)

AU - Yazici, Ali

AU - Altas, Irfan

AU - Ergenc, Tanil

N1 - Imported on 03 May 2017 - DigiTool details were: publisher = Berlin, Germany: Springer, 2005. editor/s (773b) = Gervasi, O ; Gavrilova, M L ; Kumar, V ; LaganÃ , A ; Lee, H P ; Mun, Y ; Taniar, D ; Tan, C J K ; Event dates (773o) = 09 - 12 May, 2005; Parent title (773t) = International Conference on Computational Science and its Applications (ICCSA). ISSNs: 0302-9743;

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

U2 - 10.1007/11424857_49

DO - 10.1007/11424857_49

M3 - Conference paper

VL - 3482/2005

SP - 463

EP - 471

BT - ICCSA 2005 Part III

A2 - Gervasi, O.

A2 - Gavrilova, M.L.

A2 - Kumar, V.

A2 - LaganÃ , A LaganÃ

A2 - Lee, H.P.

A2 - Mun, Y.

A2 - Taniar, D.

A2 - Tan, C J K

PB - Springer

CY - Berlin, Germany

Y2 - 9 May 2005 through 12 May 2005

ER -

2d Polynomial Interpolation: A Symbolic Approach with Mathematica

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