| MULTIVARIATE FOURIER SERIES OVER A CLASS OF NON TENSOR－PRODUCT PARTITION DOMAINS |
| |
| 作者姓名： | JiachangSun |
| |
| 作者单位： | ParallelCOmputingDivision,InstituteofSoftware,ChineseAcademyofSciences,Beijing100080,China |
| |
| 基金项目： | Project supported by the Major Basic Project of China (No.Gl9990328)，and National Natural Science Foundation of China (No. 60173021) |
| |
| 摘 要： | This paper finds a way to extend the well-known Fourier methods,to so-called n 1 directions partition domains in n-dimension.In particular,in 2-D and 3-D cases,we study Fourier methods over 3-direction parallel hexagon partitions and 4-direction parallel paralleogram dodecahedron partitions,respectively.It has pointed that,the most concepts and results of Fourier methods on tensor-product case,such as periodicity,orthogonality of Fourier basis system,Partial sum of Fourier series and its approximation behavior,can be moved on the new non tensor-product partiton case.
|
| 关 键 词： | 多元Fourier级数 非张量积分拆域 Fourier方法 函数系统 误差估计 六方柱 十六面体划分 |
MULTIVARIATE FOURIER SERIES OVER A CLASS OF NON TENSOR-PRODUCT PARTITION DOMAINS |
| |
| JiachangSun.MULTIVARIATE FOURIER SERIES OVER A CLASS OF NON TENSOR-PRODUCT PARTITION DOMAINS[J].Journal of Computational Mathematics,2003,21(1):53-62. |
| |
| Authors: | Jiachang Sun |
| |
| Abstract: | This paper finds a way to extend the well-known Fourier methods, to so-called n+1 directions partition domains in n-dimension. In particular, in 2-D and 3-D cases, we study Fourier methods over 3-direction parallel hexagon partitions and 4-direction parallel parallelogram dodecahedron partitions, respectively. It has pointed that, the most concepts and results of Fourier methods on tensor-product case, such as periodicity,orthogonality of Fourier basis system, partial sum of Fourier series and its approximation behavior, can be moved on the new non tensor-product partition case. |
| |
| Keywords: | Multivariate Fourier methods Non tensor-product partitions Multivariate Fourier series |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
