A fourth degree integration formula for the n-dimensional simplex

Authors:
Wei Dan;Ren-hong Wang
Affiliations:
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
Venue:
Applied Numerical Mathematics
Year:
2009

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Abstract

A fourth degree integration formula is given for the n-dimensional simplex for all n=2, which is invariant under the group G of all affine transformations of T"n onto itself. The formula contains (n^2+5n+6)/2 nodes.