polyCub: Cubature over Polygonal Domains

Numerical integration of continuously differentiable functions f(x,y) over simple closed polygonal domains. The following cubature methods are implemented: product Gauss cubature (Sommariva and Vianello, 2007, <doi:10.1007/s10543-007-0131-2>), the simple two-dimensional midpoint rule (wrapping 'spatstat' functions), adaptive cubature for radially symmetric functions via line integrate() along the polygon boundary (Meyer and Held, 2014, <doi:10.1214/14-AOAS743>, Supplement B), and integration of the bivariate Gaussian density based on a triangulation of the polygonal domain. For simple integration along the axes, the packages 'cubature' and 'R2Cuba' are more appropriate.

Package details

AuthorSebastian Meyer [aut, cre, trl] (<https://orcid.org/0000-0002-1791-9449>), Leonhard Held [ths], Michael Hoehle [ths]
MaintainerSebastian Meyer <[email protected]>
LicenseGPL-2
Version0.7.0
URL https://github.com/bastistician/polyCub
Package repositoryView on CRAN
Installation Install the latest version of this package by entering the following in R:
install.packages("polyCub")

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polyCub documentation built on Oct. 11, 2018, 5:03 p.m.