The following methods for cubature (numerical integration) over polygonal domains are currently implemented: the twodimensional 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 quasiexact 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.
Package details 


Author  Sebastian Meyer [aut, cre, trl], Leonhard Held [ths], Michael Hoehle [ths] 
Date of publication  20170526 10:05:58 UTC 
Maintainer  Sebastian Meyer <seb.meyer@fau.de> 
License  GPL2 
Version  0.6.0 
URL  https://github.com/WastlM/polyCub 
Package repository  View on CRAN 
Installation 
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