@Article{JCM-21-53, author = {}, title = {Multivariate Fourier Series over a Class of Non Tensor-Product Partition Domains}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {1}, pages = {53--62}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10282.html} }