polyCub (version 0.4-2)

polyCub-package: Cubature over Polygonal Domains

Description

The Rpackage polyCub provides methods for cubature (numerical integration) over polygonal domains. The function polyCub() is the main entry point of the package. It is a wrapper around the specific cubature methods listed below.

Details

[object Object],[object Object],[object Object],[object Object] See Section 3.2 of Meyer (2010) for a more detailed description and benchmark experiment of some of the above cubature methods (and others).

References

M. Abramowitz and I. A. Stegun (1970). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (9th ed.). New York: Dover Publications.

A. Baddeley and R. Turner (2005). Spatstat: an R package for analyzing spatial point patterns. Journal of Statistical Software 12 (6), 1-42.

S. Meyer (2010). Spatio-Temporal Infectious Disease Epidemiology based on Point Processes. Master's Thesis, LMU Munich. Available as http://epub.ub.uni-muenchen.de/11703/.

S. Meyer and L. Held (2014). Power-law models for infectious disease spread. http://arxiv.org/abs/1308.5115{arXiv:1308.5115}. Supplements are available from http://www.biostat.uzh.ch/research/manuscripts/powerlaw.html.

A. Sommariva and M. Vianello (2007). Product Gauss cubature over polygons based on Green's integration formula. Bit Numerical Mathematics, 47 (2), 441-453.

See Also

The packages cubature and R2Cuba, which are more appropriate for cubature over simple hypercubes.