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

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Description file content

Package
polyCub
Title
Cubature over Polygonal Domains
Version
0.7.1
Date
2019-02-07
Description
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, ), 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, , 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.
License
GPL-2
URL
BugReports
https://github.com/bastistician/polyCub/issues
Depends
R (>= 2.15.0), methods
Imports
grDevices, graphics, stats, sp (>= 1.0-11)
Suggests
spatstat, lattice, testthat, mvtnorm, statmod, rgeos, gpclib, cubature, knitr, rmarkdown, microbenchmark
RoxygenNote
6.1.1
VignetteBuilder
knitr, rmarkdown
NeedsCompilation
yes
Packaged
2019-02-07 10:20:59 UTC; smeyer
Author
Sebastian Meyer [aut, cre, trl] (), Leonhard Held [ths], Michael Hoehle [ths]
Maintainer
Sebastian Meyer
Repository
CRAN
Date/Publication
2019-02-07 16:30:02 UTC

install.packages('polyCub')

0.7.1

2 months ago

https://github.com/bastistician/polyCub

Sebastian Meyer

GPL-2

Depends on

R (>= 2.15.0), methods

Imports

grDevices, graphics, stats, sp (>= 1.0-11)

Suggests

spatstat, lattice, testthat, mvtnorm, statmod, rgeos, gpclib, cubature, knitr, rmarkdown, microbenchmark

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