@Article{NMTMA-7-2,
author = {},
title = {Simple Fourth-Degree Cubature Formulae with Few Nodes over General Product Regions},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2014},
volume = {7},
number = {2},
pages = {179--192},
abstract = {<p style="text-align: justify;">A simple method is proposed for constructing fourth-degree cubature
formulae over general product regions with no symmetric assumptions.
The cubature formulae that are constructed contain at most $n^2+7n+3$ nodes and they are likely the first kind of fourth-degree
cubature formulae with roughly $n^2$ nodes for non-symmetric
integrations. Moreover, two special cases are given to reduce the
number of nodes further. A theoretical upper bound for minimal
number of cubature nodes is also obtained.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2014.y12038},
url = {https://global-sci.com/article/90598/simple-fourth-degree-cubature-formulae-with-few-nodes-over-general-product-regions}
}