SimplicialCubature: Integration of Functions Over Simplices

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Provides methods to integrate functions over m-dimensional simplices in n-dimensional Euclidean space. There are exact methods for polynomials and adaptive methods for integrating an arbitrary function. Dirichlet probabilities are calculated in certain cases.

Author
John P. Nolan, with parts adapted from Fortran and matlab code by Alan Genz
Date of publication
2016-05-16 15:41:03
Maintainer
John P. Nolan <jpnolan@american.edu>
License
GPL (>= 2)
Version
1.2

View on CRAN

Man pages

adaptIntegrateSimplex
Integrate a general function over a simplex
adsimp
Internal functions for adaptIntegrateSimplex.
CanonicalSimplex
Internal functions for defining/working with simplices.
definePoly
Define, evaluate, or print a polynomial
grnmol
Grundmann-Moller integration of a function over a simplex
integrateSimplexPolynomial
Exact integration of a polynomial over a simplex
LasserreAvrachenkov
Internal functions for integrateSimplexPolynomial.
SimplicialCubature-package
Numerical integration of functions over simplices

Files in this package

SimplicialCubature
SimplicialCubature/NAMESPACE
SimplicialCubature/demo
SimplicialCubature/demo/SimplicialCubature.R
SimplicialCubature/demo/00Index
SimplicialCubature/R
SimplicialCubature/R/adsimp.R
SimplicialCubature/R/SimplicialCubature.R
SimplicialCubature/R/grnmol.R
SimplicialCubature/MD5
SimplicialCubature/DESCRIPTION
SimplicialCubature/man
SimplicialCubature/man/integrateSimplexPolynomial.Rd
SimplicialCubature/man/adsimp.Rd
SimplicialCubature/man/adaptIntegrateSimplex.Rd
SimplicialCubature/man/grnmol.Rd
SimplicialCubature/man/CanonicalSimplex.Rd
SimplicialCubature/man/SimplicialCubature-package.Rd
SimplicialCubature/man/LasserreAvrachenkov.Rd
SimplicialCubature/man/definePoly.Rd