Result: A New Approach to General Interpolation Formulae for Bivariate Interpolation: A new approach to general interpolation formulae for bivariate interpolation

Title:
A New Approach to General Interpolation Formulae for Bivariate Interpolation: A new approach to general interpolation formulae for bivariate interpolation
Authors:
Zou, Le, Tang, Shuo
Source:
Abstract and Applied Analysis, Vol 2014 (2014)
Abstr. Appl. Anal.
Publisher Information:
Wiley, 2014.
Publication Year:
2014
Subject Terms:
Approximation by rational functions, Numerical interpolation, QA1-939, 0101 mathematics, 01 natural sciences, Mathematics, Interpolation in approximation theory, 6. Clean water
Document Type:
Academic journal Article<br />Other literature type
File Description:
application/xml; text/xhtml; application/pdf
Language:
English
ISSN:
1687-0409
1085-3375
DOI:
10.1155/2014/421635
Access URL:
http://downloads.hindawi.com/journals/aaa/2014/421635.pdf
https://zbmath.org/7022361
https://doi.org/10.1155/2014/421635
https://doaj.org/article/803e52b7118a4787abfe00f5c7ab9b76
https://EconPapers.repec.org/RePEc:hin:jnlaaa:421635
https://www.hindawi.com/journals/aaa/2014/421635/
https://projecteuclid.org/euclid.aaa/1412606198
https://projecteuclid.org/download/pdfview_1/euclid.aaa/1412606198
https://downloads.hindawi.com/journals/aaa/2014/421635.pdf
http://projecteuclid.org/euclid.aaa/1412606198
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....8c64d0dd1f6ad5d27e37d5a9b2d7adbd
Database:
OpenAIRE

Further Information

General interpolation formulae for bivariate interpolation are established by introducing multiple parameters, which are extensions and improvements of those studied by Tan and Fang. The general interpolation formulae include general interpolation formulae of symmetric branched continued fraction, general interpolation formulae of univariate and bivariate interpolation, univariate block based blending rational interpolation, bivariate block based blending rational interpolation and their dual schemes, and some interpolation form studied by many scholars in recent years. We discuss the interpolation theorem, algorithms, dual interpolation, and special cases and give many kinds of interpolation scheme. Numerical examples are given to show the effectiveness of the method.