Bivariate Thiele-Like Rational Interpolation Continued Fractions with Parameters Based on Virtual Points
文献类型：期刊论文
| 作者 | Zou, Le1,2,3; Song, Liangtu1,3 ; Wang, Xiaofeng2; Chen, Yanping2; Zhang, Chen2; Tang, Chao2
|
| 刊名 | MATHEMATICS
 |
| 出版日期 | 2020 |
| 卷号 | 8 |
| 关键词 | Thiele-like rational interpolation continued fractions with parameters unattainable point inverse difference virtual point |
| DOI | 10.3390/math8010071 |
| 通讯作者 | Zou, Le(chenypo@hfuu.edu.cn) ; Wang, Xiaofeng(zhangchen@hfuu.edu.cn) |
| 英文摘要 | The interpolation of Thiele-type continued fractions is thought of as the traditional rational interpolation and plays a significant role in numerical analysis and image interpolation. Different to the classical method, a novel type of bivariate Thiele-like rational interpolation continued fractions with parameters is proposed to efficiently address the interpolation problem. Firstly, the multiplicity of the points is adjusted strategically. Secondly, bivariate Thiele-like rational interpolation continued fractions with parameters is developed. We also discuss the interpolant algorithm, theorem, and dual interpolation of the proposed interpolation method. Many interpolation functions can be gained through adjusting the parameter, which is flexible and convenient. We also demonstrate that the novel interpolation function can deal with the interpolation problems that inverse differences do not exist or that there are unattainable points appearing in classical Thiele-type continued fractions interpolation. Through the selection of proper parameters, the value of the interpolation function can be changed at any point in the interpolant region under unaltered interpolant data. Numerical examples are given to show that the developed methods achieve state-of-the-art performance. |
| 资助项目 | National Natural Science Foundation of China[61672204] ; National Natural Science Foundation of China[61806068] ; Key Scientific Research Foundation of Education Department of Anhui Province[KJ2018A0555] ; Key Scientific Research Foundation of Education Department of Anhui Province[KJ2018A0556] ; Key Scientific Research Foundation of Education Department of Anhui Province[KJ2019A0833] ; Natural Science Foundation of Anhui Provincial[1908085MF184] ; Natural Science Foundation of Anhui Provincial[1508085QF116] ; Key Technologies R&D Program of Anhui Province[1804a09020058] ; Major Science and Technology Project of Anhui Province[17030901026] ; Key Constructive Discipline Project of Hefei University[2016xk05] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000515730100037 |
| 出版者 | MDPI |
| 资助机构 | National Natural Science Foundation of China ; Key Scientific Research Foundation of Education Department of Anhui Province ; Natural Science Foundation of Anhui Provincial ; Key Technologies R&D Program of Anhui Province ; Major Science and Technology Project of Anhui Province ; Key Constructive Discipline Project of Hefei University |
| 源URL | [http://ir.hfcas.ac.cn:8080/handle/334002/103943]  |
| 专题 | 中国科学院合肥物质科学研究院 |
| 通讯作者 | Zou, Le; Wang, Xiaofeng |
| 作者单位 | 1.Chinese Acad Sci, Hefei Inst Phys Sci, Inst Intelligent Machines, Hefei 230031, Anhui, Peoples R China 2.Hefei Univ, Sch Artificial Intelligence & Big Data, Hefei 230601, Anhui, Peoples R China 3.Univ Sci & Technol China, Hefei 230026, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zou, Le,Song, Liangtu,Wang, Xiaofeng,et al. Bivariate Thiele-Like Rational Interpolation Continued Fractions with Parameters Based on Virtual Points[J]. MATHEMATICS,2020,8. |
| APA | Zou, Le,Song, Liangtu,Wang, Xiaofeng,Chen, Yanping,Zhang, Chen,&Tang, Chao.(2020).Bivariate Thiele-Like Rational Interpolation Continued Fractions with Parameters Based on Virtual Points.MATHEMATICS,8. |
| MLA | Zou, Le,et al."Bivariate Thiele-Like Rational Interpolation Continued Fractions with Parameters Based on Virtual Points".MATHEMATICS 8(2020). |
入库方式： OAI收割
来源：合肥物质科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。