A New Approach to General Interpolation Formulae for Bivariate Interpolation

A New Approach to General Interpolation Formulae for Bivariate Interpolation

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, g...

Full description

Bibliographic Details
Main Authors: Le Zou, Shuo Tang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/421635
id doaj-803e52b7118a4787abfe00f5c7ab9b76
record_format Article
spelling doaj-803e52b7118a4787abfe00f5c7ab9b762020-11-24T22:58:21ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/421635421635A New Approach to General Interpolation Formulae for Bivariate InterpolationLe Zou0Shuo Tang1Key Lab of Network and Intelligent Information Processing, Hefei University, Hefei 230601, ChinaDepartment of Mathematics, Hefei University of Technology, Hefei 230039, ChinaGeneral 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.http://dx.doi.org/10.1155/2014/421635
collection DOAJ
language English
format Article
sources DOAJ
author Le Zou
Shuo Tang
spellingShingle Le Zou
Shuo Tang
A New Approach to General Interpolation Formulae for Bivariate Interpolation
Abstract and Applied Analysis
author_facet Le Zou
Shuo Tang
author_sort Le Zou
title A New Approach to General Interpolation Formulae for Bivariate Interpolation
title_short A New Approach to General Interpolation Formulae for Bivariate Interpolation
title_full A New Approach to General Interpolation Formulae for Bivariate Interpolation
title_fullStr A New Approach to General Interpolation Formulae for Bivariate Interpolation
title_full_unstemmed A New Approach to General Interpolation Formulae for Bivariate Interpolation
title_sort new approach to general interpolation formulae for bivariate interpolation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/421635
work_keys_str_mv AT lezou anewapproachtogeneralinterpolationformulaeforbivariateinterpolation
AT shuotang anewapproachtogeneralinterpolationformulaeforbivariateinterpolation
AT lezou newapproachtogeneralinterpolationformulaeforbivariateinterpolation
AT shuotang newapproachtogeneralinterpolationformulaeforbivariateinterpolation
_version_ 1725647437372063744

Similar Items