Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations
A local Lagrange interpolation scheme using bivariate C2 splines of degree seven over a checkerboard triangulated quadrangulation is constructed. The method provides optimal order approximation of smooth functions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/638254 |
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| _version_ | 1832549988360519680 |
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| author | Xuqiong Luo Qikui Du |
| author_facet | Xuqiong Luo Qikui Du |
| author_sort | Xuqiong Luo |
| collection | DOAJ |
| description | A local Lagrange interpolation scheme using bivariate C2 splines of degree seven over a checkerboard triangulated quadrangulation is constructed. The method provides optimal order approximation of smooth functions. |
| format | Article |
| id | doaj-art-3d0b5afa93964cf79fe3fb5f39427638 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3d0b5afa93964cf79fe3fb5f394276382025-02-03T06:07:59ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/638254638254Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated QuadrangulationsXuqiong Luo0Qikui Du1School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaSchool of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaA local Lagrange interpolation scheme using bivariate C2 splines of degree seven over a checkerboard triangulated quadrangulation is constructed. The method provides optimal order approximation of smooth functions.http://dx.doi.org/10.1155/2013/638254 |
| spellingShingle | Xuqiong Luo Qikui Du Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations Journal of Mathematics |
| title | Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations |
| title_full | Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations |
| title_fullStr | Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations |
| title_full_unstemmed | Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations |
| title_short | Local Lagrange Interpolations Using Bivariate C2 Splines of Degree Seven on Triangulated Quadrangulations |
| title_sort | local lagrange interpolations using bivariate c2 splines of degree seven on triangulated quadrangulations |
| url | http://dx.doi.org/10.1155/2013/638254 |
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