Software for exact integration of polynomials over polyhedra
Jesús A. De Loera, Brandon Dutra, Matthias Köppe, S. Moreinis, Gregory Pinto, J. Wu · ACM communications in computer algebra · 2012
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.