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Positivity Preserving using GC^1 Rational Quartic Spline

In this paper, we study the shape preserving interpolation for positive data using a rational quartic spline which has a quartic numerator and linear denominator. The rational quartic splines have continuity at join knots. Simple data dependent constraints are derived on the shape parameters in th...

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Main Author: ABDUL KARIM, SAMSUL ARIFFIN
Format: Conference or Workshop Item
Published: 2012
Subjects:
QA Mathematics
Online Access:http://eprints.utp.edu.my/8882/1/Karim%20et%20al%20%20MG046%20Rational%20Quartic%20Spline%2013%20JANUARY%202013.pdf
http://eprints.utp.edu.my/8882/
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spelling my.utp.eprints.88822013-01-31T23:53:20Z Positivity Preserving using GC^1 Rational Quartic Spline ABDUL KARIM, SAMSUL ARIFFIN QA Mathematics In this paper, we study the shape preserving interpolation for positive data using a rational quartic spline which has a quartic numerator and linear denominator. The rational quartic splines have continuity at join knots. Simple data dependent constraints are derived on the shape parameters in the description of the rational interpolant. Numerical comparison between the proposed scheme and the existing scheme will be discussed. The results indicate that the proposed scheme works well for all tested data sets. 2012-12-20 Conference or Workshop Item PeerReviewed application/pdf http://eprints.utp.edu.my/8882/1/Karim%20et%20al%20%20MG046%20Rational%20Quartic%20Spline%2013%20JANUARY%202013.pdf ABDUL KARIM, SAMSUL ARIFFIN (2012) Positivity Preserving using GC^1 Rational Quartic Spline. In: SIMPOSIUM KEBANGSAAN SAINS MATEMATIK KE 20 (SKSM 20) (AIP INDEX), 18-20 DEC 2012, IOI RESORT, PUTRAJAYA. (In Press) http://eprints.utp.edu.my/8882/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
ABDUL KARIM, SAMSUL ARIFFIN
Positivity Preserving using GC^1 Rational Quartic Spline
description In this paper, we study the shape preserving interpolation for positive data using a rational quartic spline which has a quartic numerator and linear denominator. The rational quartic splines have continuity at join knots. Simple data dependent constraints are derived on the shape parameters in the description of the rational interpolant. Numerical comparison between the proposed scheme and the existing scheme will be discussed. The results indicate that the proposed scheme works well for all tested data sets.
format Conference or Workshop Item
author ABDUL KARIM, SAMSUL ARIFFIN
author_facet ABDUL KARIM, SAMSUL ARIFFIN
author_sort ABDUL KARIM, SAMSUL ARIFFIN
title Positivity Preserving using GC^1 Rational Quartic Spline
title_short Positivity Preserving using GC^1 Rational Quartic Spline
title_full Positivity Preserving using GC^1 Rational Quartic Spline
title_fullStr Positivity Preserving using GC^1 Rational Quartic Spline
title_full_unstemmed Positivity Preserving using GC^1 Rational Quartic Spline
title_sort positivity preserving using gc^1 rational quartic spline
publishDate 2012
url http://eprints.utp.edu.my/8882/1/Karim%20et%20al%20%20MG046%20Rational%20Quartic%20Spline%2013%20JANUARY%202013.pdf
http://eprints.utp.edu.my/8882/
_version_ 1738655690276208640
score 13.214268

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