Gruppentheoretische Konstruktion von symmetrischen Kubaturformeln.
Please always quote using this URN: urn:nbn:de:0297-zib-4652
- $G$-invariant cubature formulas for numerical integration over n-dimensional, $G$- invariant integration regions are computed symbolically. The nodes are the common zeros of some $d$-orthogonal polynomials which build an $H$-basis of an ideal. Approaches for these polynomials depending on parameters are made with the help of the theory of linear representations of a group $G$. This theory is also used for the effective computation of necessary conditions which determines the parameters. Another approach uses invariant theory and gröbner bases.
| Author: | Karin Gatermann |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1990/01/18 |
| Series (Serial Number): | ZIB-Report (TR-90-01) |
| ZIB-Reportnumber: | TR-90-01 |
