A New Approach to General Interpolation Formulae for Bivariate Interpolation

Joint Authors

Zou, Le
Tang, Shuo

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-25

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zou, Le& Tang, Shuo. 2014. A New Approach to General Interpolation Formulae for Bivariate Interpolation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013905

Modern Language Association (MLA)

Zou, Le& Tang, Shuo. A New Approach to General Interpolation Formulae for Bivariate Interpolation. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013905

American Medical Association (AMA)

Zou, Le& Tang, Shuo. A New Approach to General Interpolation Formulae for Bivariate Interpolation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013905

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013905