Positivity preserving using GC1 rational quartic spline

Samsul Ariffin Abdul Karim, Kong Voon Pang, Ishak Hashim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

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 GC1 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 is discussed. The results indicate that the proposed scheme works well for all tested data sets.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages518-525
Number of pages8
Volume1522
DOIs
Publication statusPublished - 2013
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya
Duration: 18 Dec 201220 Dec 2012

Other

Other20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
CityPutrajaya
Period18/12/1220/12/12

Fingerprint

splines
preserving
continuity
interpolation

Keywords

  • Interpolation
  • Positivity preserving
  • Rational quartic spline
  • Shape preserving

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Abdul Karim, S. A., Pang, K. V., & Hashim, I. (2013). Positivity preserving using GC1 rational quartic spline. In AIP Conference Proceedings (Vol. 1522, pp. 518-525) https://doi.org/10.1063/1.4801170

Positivity preserving using GC1 rational quartic spline. / Abdul Karim, Samsul Ariffin; Pang, Kong Voon; Hashim, Ishak.

AIP Conference Proceedings. Vol. 1522 2013. p. 518-525.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abdul Karim, SA, Pang, KV & Hashim, I 2013, Positivity preserving using GC1 rational quartic spline. in AIP Conference Proceedings. vol. 1522, pp. 518-525, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801170
Abdul Karim SA, Pang KV, Hashim I. Positivity preserving using GC1 rational quartic spline. In AIP Conference Proceedings. Vol. 1522. 2013. p. 518-525 https://doi.org/10.1063/1.4801170
Abdul Karim, Samsul Ariffin ; Pang, Kong Voon ; Hashim, Ishak. / Positivity preserving using GC1 rational quartic spline. AIP Conference Proceedings. Vol. 1522 2013. pp. 518-525
@inproceedings{27eca39bd72547a09eaea87893f41a4f,
title = "Positivity preserving using GC1 rational quartic spline",
abstract = "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 GC1 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 is discussed. The results indicate that the proposed scheme works well for all tested data sets.",
keywords = "Interpolation, Positivity preserving, Rational quartic spline, Shape preserving",
author = "{Abdul Karim}, {Samsul Ariffin} and Pang, {Kong Voon} and Ishak Hashim",
year = "2013",
doi = "10.1063/1.4801170",
language = "English",
isbn = "9780735411500",
volume = "1522",
pages = "518--525",
booktitle = "AIP Conference Proceedings",

}

TY - GEN

T1 - Positivity preserving using GC1 rational quartic spline

AU - Abdul Karim, Samsul Ariffin

AU - Pang, Kong Voon

AU - Hashim, Ishak

PY - 2013

Y1 - 2013

N2 - 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 GC1 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 is discussed. The results indicate that the proposed scheme works well for all tested data sets.

AB - 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 GC1 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 is discussed. The results indicate that the proposed scheme works well for all tested data sets.

KW - Interpolation

KW - Positivity preserving

KW - Rational quartic spline

KW - Shape preserving

UR - http://www.scopus.com/inward/record.url?scp=84876893378&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876893378&partnerID=8YFLogxK

U2 - 10.1063/1.4801170

DO - 10.1063/1.4801170

M3 - Conference contribution

SN - 9780735411500

VL - 1522

SP - 518

EP - 525

BT - AIP Conference Proceedings

ER -