Defining and computing cubic splines

Detalhes bibliográficos
Autor(a) principal: Mesquita, Teresa A.
Data de Publicação: 2018
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/20.500.11960/2885
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.
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spelling Defining and computing cubic splinesCurve fittingPolynomial rigidityPiecewise interpolationNumerical stabilityCubic splinesOctave 4.0.0In 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.2022-11-28T14:03:55Z2018-05-21T00:00:00Z2018-05-212022-11-28T00:31:29Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/20.500.11960/2885eng0025-5742metadata only accessinfo:eu-repo/semantics/openAccessMesquita, Teresa A.reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-04-11T08:08:56Zoai:repositorio.ipvc.pt:20.500.11960/2885Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:27:29.081297Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Defining and computing cubic splines
title Defining and computing cubic splines
spellingShingle Defining and computing cubic splines
Mesquita, Teresa A.
Curve fitting
Polynomial rigidity
Piecewise interpolation
Numerical stability
Cubic splines
Octave 4.0.0
title_short Defining and computing cubic splines
title_full Defining and computing cubic splines
title_fullStr Defining and computing cubic splines
title_full_unstemmed Defining and computing cubic splines
title_sort Defining and computing cubic splines
author Mesquita, Teresa A.
author_facet Mesquita, Teresa A.
author_role author
dc.contributor.author.fl_str_mv Mesquita, Teresa A.
dc.subject.por.fl_str_mv Curve fitting
Polynomial rigidity
Piecewise interpolation
Numerical stability
Cubic splines
Octave 4.0.0
topic Curve fitting
Polynomial rigidity
Piecewise interpolation
Numerical stability
Cubic splines
Octave 4.0.0
description 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.
publishDate 2018
dc.date.none.fl_str_mv 2018-05-21T00:00:00Z
2018-05-21
2022-11-28T14:03:55Z
2022-11-28T00:31:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/20.500.11960/2885
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dc.language.iso.fl_str_mv eng
language eng
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instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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