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...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/421635 |
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| author | Le Zou Shuo Tang |
| author_facet | Le Zou Shuo Tang |
| author_sort | Le Zou |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-803e52b7118a4787abfe00f5c7ab9b76 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-803e52b7118a4787abfe00f5c7ab9b762025-02-03T05:51:28ZengWileyAbstract 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 |
| spellingShingle | Le Zou Shuo Tang A New Approach to General Interpolation Formulae for Bivariate Interpolation Abstract and Applied Analysis |
| title | 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_short | A New Approach to General Interpolation Formulae for Bivariate Interpolation |
| title_sort | new approach to general interpolation formulae for bivariate interpolation |
| url | http://dx.doi.org/10.1155/2014/421635 |
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