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.geom' 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 polygon triangulation. For simple integration along the axes, the 'cubature' package is more appropriate.

Package details

AuthorSebastian Meyer [aut, cre, trl] (<https://orcid.org/0000-0002-1791-9449>), Leonhard Held [ths], Michael Hoehle [ths]
MaintainerSebastian Meyer <seb.meyer@fau.de>
URL https://github.com/bastistician/polyCub
Package repositoryView on CRAN
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polyCub documentation built on Nov. 28, 2022, 5:21 p.m.