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Positivity preserving by using rational cubic ball function

This paper proposes new rational cubic Ball spline interpolant with four parameters. The degree smoothness of the rational interpolant is C1. The rational cubic Ball spline (cubic/cubic) has been used for positivity preserving of positive data. The sufficient conditions for the rational cubic Ball i...

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Main Author: Karim, S.A.A.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2015
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954358902&doi=10.1063%2f1.4915682&partnerID=40&md5=75da6c9d1a70912fbb9bc6d7964945b5
http://eprints.utp.edu.my/31372/
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spelling my.utp.eprints.313722022-03-26T03:18:22Z Positivity preserving by using rational cubic ball function Karim, S.A.A. This paper proposes new rational cubic Ball spline interpolant with four parameters. The degree smoothness of the rational interpolant is C1. The rational cubic Ball spline (cubic/cubic) has been used for positivity preserving of positive data. The sufficient conditions for the rational cubic Ball interpolant to be positive are derived. Two parameters acted as free parameters while the other two parameters are dependent parameter. Some numerical results are presented together with comparisons with the existing scheme. Our main findings show that the new rational cubic Ball spline interpolant gives satisfactory results and comparable with existing scheme. © 2015 AIP Publishing LLC. American Institute of Physics Inc. 2015 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954358902&doi=10.1063%2f1.4915682&partnerID=40&md5=75da6c9d1a70912fbb9bc6d7964945b5 Karim, S.A.A. (2015) Positivity preserving by using rational cubic ball function. In: UNSPECIFIED. http://eprints.utp.edu.my/31372/
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/
description This paper proposes new rational cubic Ball spline interpolant with four parameters. The degree smoothness of the rational interpolant is C1. The rational cubic Ball spline (cubic/cubic) has been used for positivity preserving of positive data. The sufficient conditions for the rational cubic Ball interpolant to be positive are derived. Two parameters acted as free parameters while the other two parameters are dependent parameter. Some numerical results are presented together with comparisons with the existing scheme. Our main findings show that the new rational cubic Ball spline interpolant gives satisfactory results and comparable with existing scheme. © 2015 AIP Publishing LLC.
format Conference or Workshop Item
author Karim, S.A.A.
spellingShingle Karim, S.A.A.
Positivity preserving by using rational cubic ball function
author_facet Karim, S.A.A.
author_sort Karim, S.A.A.
title Positivity preserving by using rational cubic ball function
title_short Positivity preserving by using rational cubic ball function
title_full Positivity preserving by using rational cubic ball function
title_fullStr Positivity preserving by using rational cubic ball function
title_full_unstemmed Positivity preserving by using rational cubic ball function
title_sort positivity preserving by using rational cubic ball function
publisher American Institute of Physics Inc.
publishDate 2015
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954358902&doi=10.1063%2f1.4915682&partnerID=40&md5=75da6c9d1a70912fbb9bc6d7964945b5
http://eprints.utp.edu.my/31372/
_version_ 1738657238480846848
score 13.160551

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