Abstract
We consider cubatures invariant under the order four subgroup of the fully symmetric group over regions invariant under right angle rotations. The moment fitting system (MFS) includes only equations for monomials invariant under this subgroup. The linear consistency conditions for the nonlinear system of equations obtained are calculated for all parameter limited subspaces of the linear span of the equations in the MFS. Using the linear consistency conditions we determine all possible structures of cubatures possessing the symmetry of this subgroup.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 D. Reidel Publishing Company
About this chapter
Cite this chapter
Mantel, F. (1987). Non-Fortuitous, Non-Product, Non-Fully Symmetric Cubature Structures. In: Keast, P., Fairweather, G. (eds) Numerical Integration. NATO ASI Series, vol 203. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3889-2_21
Download citation
DOI: https://doi.org/10.1007/978-94-009-3889-2_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8227-3
Online ISBN: 978-94-009-3889-2
eBook Packages: Springer Book Archive