C2 weighted piecewise rational interpolation

Beong In Yun

Applied Mathematics and Computation, 2021, vol. 408, issue C

Abstract: In this work, we propose a new constructive piecewise interpolation method. The procedure is composed of a weighted average of two sequential interpolating polynomials on each subinterval, where we employ a rational weight function satisfying some properties to glue the sequential polynomials appropriately. The scheme is rather simple compared with existing piecewise interpolation schemes. Analysis for the error bound of the presented scheme is performed, and numerical examples are included to demonstrate usefulness of the scheme. As a result, we can find that the proposed interpolating function is C2 over the whole interval including the given data and, in particular, the method associated with the cubic polynomials is comparable to the well-known cubic spline scheme.

Keywords: Rational weight function; Weighted piecewise interpolation; Cubic spline (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321004550
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:408:y:2021:i:c:s0096300321004550

DOI: 10.1016/j.amc.2021.126366

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().