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http://hdl.handle.net/20.500.11960/2885
Título: | Defining and computing cubic splines |
Autores: | Mesquita, Teresa A. |
Palavras-chave: | Curve fitting Polynomial rigidity Piecewise interpolation Numerical stability Cubic splines Octave 4.0.0 |
Data: | 21-Mai-2018 |
Citação: | Mesquita, T. A. (2018). Defining and computing cubic splines. The Mathematics Student, 87(1-2), 119-127. https://www.indianmathsociety.org.in/ms.htm |
Resumo: | In this note we address the students’ usual misperception of the cubic spline definition and construction within an undergraduate numerical course in order to present an alternative initial approach. We describe succinctly the standard path from the interpolating polynomial towards a smooth piecewise interpolation model and we focus on a simpler, though unstable, cubic spline structure. This less common choice aims to promote a more comprehensible dialogue between the notion of cubic spline functions and the numerical (in)adequacy of different methods for computing such functions. |
URI: | http://hdl.handle.net/20.500.11960/2885 |
ISSN: | 0025-5742 |
Aparece nas colecções: | ESTG - Artigos indexados a outros indexadores |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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2018-12-TAM-Cubic_Splines.pdf Restricted Access | 903.21 kB | Adobe PDF | Ver/Abrir Request a copy |
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