polyCub (version 0.5-0)

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

Abramowitz, M. and Stegun, I. A. (1972). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover Publications.

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

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

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

Sommariva, A. and Vianello, M. (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.