SphericalCubature: Numerical Integration over Spheres and Balls in n-Dimensions; Multivariate Polar Coordinates

Share:

Provides several methods to integrate functions over the unit sphere and ball in n-dimensional Euclidean space. Routines for converting to/from multivariate polar/spherical coordinates are also provided.

Author
John P. Nolan, American University
Date of publication
2016-10-21 10:32:34
Maintainer
John P. Nolan <jpnolan@american.edu>
License
GPL (>= 2)
Version
1.3

View on CRAN

Man pages

adaptIntegrateSpherePolar
Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateSphereTri
Adaptive integration over spherical triangles
integrateSpherePolynomial
Integration of polynomials over sphere or ball.
integrateSphereStroud11
Integrate a function over the sphere in n-dimensions.
rect2polar
n-dimensional polar coordinate transformations
sphereArea
Surface area of spheres, volumes of balls in n-dimensions.
SphericalCubature-package
Numerical integration over spheres and balls in n-dimensions;...
SphericalMisc
Miscellaneous internal functions used by SphericalCubature...

Files in this package

SphericalCubature
SphericalCubature/NAMESPACE
SphericalCubature/demo
SphericalCubature/demo/SphericalCubature.R
SphericalCubature/demo/00Index
SphericalCubature/R
SphericalCubature/R/SphericalCubature.R
SphericalCubature/MD5
SphericalCubature/DESCRIPTION
SphericalCubature/man
SphericalCubature/man/adaptIntegrateSpherePolar.Rd
SphericalCubature/man/integrateSpherePolynomial.Rd
SphericalCubature/man/SphericalMisc.Rd
SphericalCubature/man/sphereArea.Rd
SphericalCubature/man/SphericalCubature-package.Rd
SphericalCubature/man/rect2polar.Rd
SphericalCubature/man/integrateSphereStroud11.Rd
SphericalCubature/man/adaptIntegrateSphereTri.Rd