Software for exact integration of polynomials over polyhedra

Authors:
J. A. De Loera;B. Dutra;M. Köppe;S. Moreinis;G. Pinto;J. Wu
Affiliations:
University of California, Davis, CA;University of California, Davis, CA;University of California, Davis, CA;University of California, Davis, CA;-;-
Venue:
ACM Communications in Computer Algebra
Year:
2012

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Abstract

We are interested in quickly computing the exact value of integrals of polynomial functions over domains that are decomposable into convex polyhedra (e.g., a tetrahedral or cubical mesh decomposition of space). We describe a software implementation, part of the software LattE, and provide benchmark computations.