| 矩形单元上满足C2-连续的二元三次插值样条 |
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| 引用本文： | 黄蓉,夏颖.矩形单元上满足C2-连续的二元三次插值样条[J].北京师范大学学报(自然科学版),2010,46(6). |
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| 作者姓名： | 黄蓉 夏颖 |
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| 作者单位： | 北京师范大学数学科学学院,100875,北京;天津师范大学数学科学学院,300387,天津;天津师范大学数学科学学院,300387,天津 |
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| 基金项目： | 国家自然科学基金资助项目，国家教育部博士点基金资助项目 |
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| 摘 要： | 讨论了一类矩形单元上的插值问题,指出这类插值问题是可解的,其解是分片二元三次多项式,且在矩形单元上是C2-连续的. 证明了这类插值问题的解的存在性与唯一性,并给出了解样条的分片表达式.
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| 关 键 词： | 矩形单元 二元三次插值样条 C2-连续 |
INTERPOLATION BY BIVARIATE CUBIC SPLINES ON A RECTANGULAR UNIT WITH C2-CONTINUITY |
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| HUANG Rong,XIA Ying.INTERPOLATION BY BIVARIATE CUBIC SPLINES ON A RECTANGULAR UNIT WITH C2-CONTINUITY[J].Journal of Beijing Normal University(Natural Science),2010,46(6). |
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| Authors: | HUANG Rong XIA Ying |
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| Institution: | HUANG Rong1,2) XIA Ying2)(1)School of Mathematical Science,Beijing Normal University,100875,Beijing,China,2)College of Mathematical Science,Tianjin Normal University,300387,Tianjin,China) |
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| Abstract: | The interpolation method of bivariate cubic splines on a rectangular unit with C2-continuity was considered.Existence and uniqueness of interpolated splines were obtained,divisional expression of interpolating splines was provided. |
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| Keywords: | rectangular unit bivariate cubic splines C2-continuity |
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