Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637970 | Journal of Computational and Applied Mathematics | 2016 | 11 Pages |
Abstract
This paper presents a new, efficient method for computing cubature rules, based on least-squares minimisation and the use of orthogonal bases. The method, which can be applied for any integration domain, is tested here for the case of asymmetric cubature rules on the triangle showing how the computation of the necessary basis, and its derivatives, can be optimised. The numerical results presented include three new cubature rules with fewer points than known rules of the same degree.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Stefanos-Aldo Papanicolopulos,