软件的精确积分多项式在多面体

J. D. Loera, Brandon E. Dutra, M. Köppe, Stanislav Moreinis, Gregory Pinto, Jianqiu Wu
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引用次数: 80

摘要

我们感兴趣的是快速计算多项式函数在可分解为凸多面体的域上的精确积分值(例如,空间的四面体或立方网格分解)。我们描述了一个软件实现,软件LattE的一部分,并提供了基准计算。
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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.
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