SphericalCubature: Numerical Integration over Spheres and Balls in n-Dimensions; Multivariate Polar Coordinates
Version 1.3

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.

AuthorJohn P. Nolan, American University
Date of publication2016-10-21 10:32:34
MaintainerJohn P. Nolan <jpnolan@american.edu>
LicenseGPL (>= 2)
Version1.3
Package repositoryView on CRAN
InstallationInstall the latest version of this package by entering the following in R:
install.packages("SphericalCubature")

Getting started

Package overview

Popular 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;...
See all...

All man pages Function index File listing

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...

Functions

CheckUnitVectors Man page Source code
Octants Man page Source code
SphericalCubature Man page
SphericalCubature-package Man page
SphericalMisc Man page
SubdivideSphereTriByOctant Man page Source code
adaptIntegrateBallPolar Man page Source code
adaptIntegrateBallPolarSplit Man page Source code
adaptIntegrateSphereCheck Man page Source code
adaptIntegrateSpherePolar Man page Source code
adaptIntegrateSpherePolarSplit Man page Source code
adaptIntegrateSphereTri Man page Source code
adaptIntegrateSphereTri3d Man page Source code
adaptIntegrateSphereTriI0 Man page Source code
adaptIntegrateSphereTriI1 Man page Source code
adaptIntegrateSphereTriSubdivideK Man page Source code
ballVolume Man page Source code
integrateBallPolynomial Man page Source code
integrateSpherePolynomial Man page Source code
integrateSphereStroud11 Man page Source code
nextGraySubset Man page Source code
nextMultiIndex Man page Source code
partitionRegion Man page Source code
polar2rect Man page Source code
rect2polar Man page Source code
sphereArea Man page Source code

Files

NAMESPACE
demo
demo/SphericalCubature.R
demo/00Index
R
R/SphericalCubature.R
MD5
DESCRIPTION
man
man/adaptIntegrateSpherePolar.Rd
man/integrateSpherePolynomial.Rd
man/SphericalMisc.Rd
man/sphereArea.Rd
man/SphericalCubature-package.Rd
man/rect2polar.Rd
man/integrateSphereStroud11.Rd
man/adaptIntegrateSphereTri.Rd
SphericalCubature documentation built on May 19, 2017, 4:20 p.m.

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