| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] Univ Bath, Dept Mech Engn, Bath BA2 7AY, Avon - England
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | NUMERICAL ALGORITHMS; v. 76, n. 3, p. 639-653, NOV 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
A method is presented for the calculation of roots of non-polynomial functions, motivated by the requirement to generate quadrature rules based on non-polynomial orthogonal functions. The approach uses a combination of local Taylor expansions and Sturm's theorem for roots of a polynomial which together give a means of efficiently generating estimates of zeros which can be polished using Newton's method. The technique is tested on a number of realistic problems including some chosen to be highly oscillatory and to have large variations in amplitude, both of which features pose particular challenges to root-finding methods. (AU) | |
| FAPESP's process: | 14/22571-2 - Orthogonal and Similar Polynomials with some analytical and numerical applications |
| Grantee: | Cleonice Fátima Bracciali |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/17357-1 - Orthogonal polynomials and fast multipole method |
| Grantee: | Cleonice Fátima Bracciali |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |