Electronic Resource
Springer
Numerische Mathematik
30 (1978), S. 51-63
ISSN:
0945-3245
Keywords:
AMS(MOS): 65D30
;
CR: 5.16
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We consider fully symmetric quadrature rules for fully symmetricn-dimensional integration regions. When the region is a product region it is well known that product Gaussian rules exist. These obtain an approximation of polynomial degree 4p+1 based on (2p+1) n function values arranged on a rectangular grid. We term rules using such a grid,p-generator rules. In this paper we determine the necessary conditions on the region of integration forp-generator rules of degree 4p+1 to exist. Regions with this property are termed PropertyQ regions and besides product spaces, this class includes the hypersphere and other related regions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01403906
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