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), and adaptive cubature for radially symmetric functions via line integrate() along the polygon boundary (Meyer and Held, 2014, <doi:10.1214/14-AOAS743>, Supplement B). For simple integration along the axes, the 'cubature' package is more appropriate.

Version: 0.9.1
Depends: R (≥ 3.2.0), methods
Imports: grDevices, graphics, stats, sp (≥ 1.0-11)
Suggests: spatstat.geom, lattice, mvtnorm, statmod, sf, cubature, knitr, markdown, microbenchmark
Published: 2024-05-21
DOI: 10.32614/CRAN.package.polyCub
Author: Sebastian Meyer ORCID iD [aut, cre, trl], Leonhard Held [ths], Michael Hoehle [ths]
Maintainer: Sebastian Meyer <seb.meyer at fau.de>
BugReports: https://github.com/bastistician/polyCub/issues
License: GPL-2
URL: https://github.com/bastistician/polyCub
NeedsCompilation: yes
Citation: polyCub citation info
Materials: README NEWS
In views: NumericalMathematics
CRAN checks: polyCub results


Reference manual: polyCub.pdf
Vignettes: Getting started with polyCub


Package source: polyCub_0.9.1.tar.gz
Windows binaries: r-devel: polyCub_0.9.1.zip, r-release: polyCub_0.9.1.zip, r-oldrel: polyCub_0.9.1.zip
macOS binaries: r-release (arm64): polyCub_0.9.1.tgz, r-oldrel (arm64): polyCub_0.9.1.tgz, r-release (x86_64): polyCub_0.9.1.tgz, r-oldrel (x86_64): polyCub_0.9.1.tgz
Old sources: polyCub archive

Reverse dependencies:

Reverse imports: fcfdr, surveillance
Reverse linking to: surveillance


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