TY - JOUR
T1 - Multivariate Fourier Series over a Class of Non Tensor-Product Partition Domains
JO - Journal of Computational Mathematics
VL - 1
SP - 53
EP - 62
PY - 2003
DA - 2003/02
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10282.html
KW - Multivariate Fourier methods, Non tensor-product partitions, Multivariate Fourier series.
AB - <p style="text-align: justify;">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.</p>