MULTIVARIATE FOURIER SERIES OVER A CLASS OF NON TENSOR-PRODUCT PARTITION DOMAINS

查看全文 作　　者：Jiachang Sun(Parallel Computing Division, Institute of Software, Chinese Academy of Sciences, Beijing 100080, China)

出　　处：《Journal of Computational Mathematics》索引2003年第21卷第1期,共10页

基　　金：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

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MULTIVARIATE FOURIER SERIES OVER A CLASS OF NON TENSOR-PRODUCT PARTITION DOMAINS

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