论文标题
牛顿电位对立方体的分析整合以及对快速多极方法的应用
Analytic Integration of the Newton Potential over Cuboids and an Application to Fast Multipole Methods
论文作者
论文摘要
我们提出了简化的公式，用于在二维和三维空间中多项式的牛顿电位的分析整合。这些是在易于使用的C ++库中实现的，该库允许以任意精度算术计算，此处也记录在此。我们描述了如何将这些结果与快速多层方法结合使用，以获得一般的非多项式数据。
We present simplified formulae for the analytic integration of the Newton potential of polynomials over boxes in two- and three-dimensional space. These are implemented in an easy-to-use C++ library that allows computations in arbitrary precision arithmetic which is also documented here. We describe how these results can be combined with fast multipole methods for general, non-polynomial data.
