polyCub: Cubature over Polygonal Domains. A package providing methods for cubature (numerical integration) over polygonal domains. Currently, four cubature methods are implemented: the two-dimensional midpoint rule as a simple wrapper around as.im.function() from package spatstat (Baddeley and Turner, 2005), the product Gauss cubature by Sommariva and Vianello (2007), an adaptive cubature for isotropic functions via line integrate() along the boundary (Meyer and Held, 2014), and quasi-exact methods specific to the integration of the bivariate Gaussian density over polygonal and circular domains (based on formulae from the Abramowitz and Stegun (1972) handbook). For cubature over simple hypercubes, the packages ”cubature” and ”R2Cuba” are more appropriate.

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  1. Meyer, Sebastian; Held, Leonhard: Power-law models for infectious disease spread (2014)