Error estimates for discrete spline interpolation : quintic and biquintic splines

In this paper we shall develop a class of discrete spline interpolates in one and two independent variables. Further, explicit error bounds in ℓ∞ norm are derived for the quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained....

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Main Authors: Chen, Fengmin, Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2013
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Online Access:https://hdl.handle.net/10356/107045
http://hdl.handle.net/10220/17768
http://dx.doi.org/10.1016/j.cam.2012.01.011
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1070452019-12-06T22:23:45Z Error estimates for discrete spline interpolation : quintic and biquintic splines Chen, Fengmin Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering In this paper we shall develop a class of discrete spline interpolates in one and two independent variables. Further, explicit error bounds in ℓ∞ norm are derived for the quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained. 2013-11-15T08:48:09Z 2019-12-06T22:23:45Z 2013-11-15T08:48:09Z 2019-12-06T22:23:45Z 2012 2012 Journal Article Chen, F., & Wong, P. J. Y. (2012). Error estimates for discrete spline interpolation : quintic and biquintic splines. Journal of computational and applied mathematics, 236(15), 3835-3854. 0377-0427 https://hdl.handle.net/10356/107045 http://hdl.handle.net/10220/17768 http://dx.doi.org/10.1016/j.cam.2012.01.011 en Journal of computational and applied mathematics
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Chen, Fengmin
Wong, Patricia Jia Yiing
Error estimates for discrete spline interpolation : quintic and biquintic splines
description In this paper we shall develop a class of discrete spline interpolates in one and two independent variables. Further, explicit error bounds in ℓ∞ norm are derived for the quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Chen, Fengmin
Wong, Patricia Jia Yiing
format Article
author Chen, Fengmin
Wong, Patricia Jia Yiing
author_sort Chen, Fengmin
title Error estimates for discrete spline interpolation : quintic and biquintic splines
title_short Error estimates for discrete spline interpolation : quintic and biquintic splines
title_full Error estimates for discrete spline interpolation : quintic and biquintic splines
title_fullStr Error estimates for discrete spline interpolation : quintic and biquintic splines
title_full_unstemmed Error estimates for discrete spline interpolation : quintic and biquintic splines
title_sort error estimates for discrete spline interpolation : quintic and biquintic splines
publishDate 2013
url https://hdl.handle.net/10356/107045
http://hdl.handle.net/10220/17768
http://dx.doi.org/10.1016/j.cam.2012.01.011
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