The University of Southampton
University of Southampton Institutional Repository

Weighted rational cubic spline interpolation and its application

Weighted rational cubic spline interpolation and its application
Weighted rational cubic spline interpolation and its application
In Qi Duan et al. (Korean J. Comput. Appl. Math. 6 (1) (1999) 203–215), the authors have discussed constrained interpolation problems by means of rational cubic spline interpolation with linear denominators, but there are still some cases in which the constrained interpolation cannot be solved. In this paper, the weighted rational cubic spline interpolation has been constructed using the rational cubic spline with linear denominator and the rational cubic spline based on function values. By these, the problems to constrain the weighted rational interpolation curves to lie strictly above or below a given piecewise linear curve and between two given piecewise linear curves can be solved completely. Also, the approximation properties of these weighted rational cubic splines are studied.
rational spline, cubic spline, constrained interpolation, weighted rational interpolation, approximation
0377-0427
121-135
Duan, Q.
ea3f0b6d-dca2-41f5-a223-bbc734c29c16
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Twizell, E.H.
46b3dc67-c9d6-414d-a8cf-19c0c0911935
Duan, Q.
ea3f0b6d-dca2-41f5-a223-bbc734c29c16
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Twizell, E.H.
46b3dc67-c9d6-414d-a8cf-19c0c0911935

Duan, Q., Djidjeli, K., Price, W.G. and Twizell, E.H. (2000) Weighted rational cubic spline interpolation and its application. Journal of Computational and Applied Mathematics, 117 (2), 121-135. (doi:10.1016/S0377-0427(99)00336-2).

Record type: Article

Abstract

In Qi Duan et al. (Korean J. Comput. Appl. Math. 6 (1) (1999) 203–215), the authors have discussed constrained interpolation problems by means of rational cubic spline interpolation with linear denominators, but there are still some cases in which the constrained interpolation cannot be solved. In this paper, the weighted rational cubic spline interpolation has been constructed using the rational cubic spline with linear denominator and the rational cubic spline based on function values. By these, the problems to constrain the weighted rational interpolation curves to lie strictly above or below a given piecewise linear curve and between two given piecewise linear curves can be solved completely. Also, the approximation properties of these weighted rational cubic splines are studied.

This record has no associated files available for download.

More information

Published date: 2000
Keywords: rational spline, cubic spline, constrained interpolation, weighted rational interpolation, approximation

Identifiers

Local EPrints ID: 21532
URI: http://eprints.soton.ac.uk/id/eprint/21532
ISSN: 0377-0427
PURE UUID: 2800563d-2f09-4845-b146-2e707ab398b9

Catalogue record

Date deposited: 06 Feb 2007
Last modified: 15 Mar 2024 06:31

Export record

Altmetrics

Contributors

Author: Q. Duan
Author: K. Djidjeli
Author: W.G. Price
Author: E.H. Twizell

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×