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Positivity Preserving using GC^1 Rational Quartic Spline

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)

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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 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.

Item Type:Conference or Workshop Item (Paper)
Subjects:Q Science > QA Mathematics
Academic Subject One:MATHEMATICS
Departments / MOR / COE:Departments > Fundamental & Applied Sciences
Mission Oriented Research > Energy
ID Code:8882
Deposited By: Samsul Ariffin Abdul Karim
Deposited On:31 Jan 2013 23:53
Last Modified:31 Jan 2013 23:53

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