J. D. Loera, Brandon E. Dutra, M. Köppe, Stanislav Moreinis, Gregory Pinto, Jianqiu Wu
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Software for exact integration of polynomials over polyhedra
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.