| 一种新的二维区域上嵌入式数值积分公式构造方法 |
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| 引用本文： | 于冉,孟兆良,罗钟铉.一种新的二维区域上嵌入式数值积分公式构造方法[J].数学研究及应用,2013,33(2):142-154. |
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| 作者姓名： | 于冉 孟兆良 罗钟铉 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学软件学院, 辽宁 大连 116620 |
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| 基金项目： | 国家自然科学基金(Grant Nos.61033012; 11171052), 高等学校博士学科点专项科研基金(Grant No.20100041110036), 中央高校基本科研业务费专项资金. |
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| 摘 要： | The purpose of this paper is to study a new strategy to construct embedded cubature formulae over two-dimensional regions.A new kind of embedded cubature formulae with some nodes along the selected algebraic curve is constructed.Some examples on the unit disk are presented to illustrate the validity of this strategy.
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| 关 键 词： | cubature formulae embedded cubature formulae polynomial ideal moment. |
| 收稿时间： | 4/7/2012 12:00:00 AM |
| 修稿时间： | 2012/11/22 0:00:00 |
A New Strategy to Construct Embedded Cubature Formulae over Two-Dimensional Regions |
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| Ran YU,Zhaoliang MENG and Zhongxuan LUO.A New Strategy to Construct Embedded Cubature Formulae over Two-Dimensional Regions[J].Journal of Mathematical Research with Applications,2013,33(2):142-154. |
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| Authors: | Ran YU Zhaoliang MENG and Zhongxuan LUO |
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| Institution: | 1. School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P.R.China
2. School of Software Technology, Dalian University of Technology, Liaoning 116620, P.R.China |
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| Abstract: | The purpose of this paper is to study a new strategy to construct embedded cubature formulae over two-dimensional regions. A new kind of embedded cubature formulae with some nodes along the selected algebraic curve is constructed. Some examples on the unit disk are presented to illustrate the validity of this strategy. |
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| Keywords: | cubature formulae embedded cubature formulae polynomial ideal moment |
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