Gruppentheoretische Konstruktion von symmetrischen Kubaturformeln
By: Karin Gatermann
Series: Technical report / Konrad-Zuse-Zentrum für Informationstechnik Berlin -- TR 90-1; Technical report (Konrad-Zuse-Zentrum für Informationstechnik Berlin) -- TR 90-1
Publisher: Konrad-Zuse-Zentrum für Informationstechnik Berlin
Published: 1990
Place of publication: Berlin
Language: ger
Number of pages: 123
Subjects: Numerical integration
Description: Abstract: "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."
Notes: Abstract in English.

"Januar 1990."

Includes bibliographical references.