长方体上Newton势的解析积分及其在快速多极方法中的应用
Analytic Integration of the Newton Potential over Cuboids and an Application to Fast Multipole Methods
摘要：
我们提出了简化公式的解析积分的牛顿潜在的多项式盒在二维和三维空间。这些都是在一个易于使用的C++库中实现的，该库允许以任意精度的算术进行计算，这里也有记录。我们描述了如何将这些结果与快速多极方法相结合，一般，非多项式数据。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
