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.
| Version: |
0.8.0 |
| Depends: |
R (≥ 2.15.0), methods |
| Imports: |
grDevices, graphics, stats, sp (≥ 1.0-11) |
| Suggests: |
spatstat.geom, lattice, mvtnorm, statmod, rgeos, gpclib, sf, cubature, knitr, rmarkdown, microbenchmark |
| Published: |
2021-01-27 |
| Author: |
Sebastian Meyer 
[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 |
Documentation:
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