Numerical integration over spheres and balls in n-dimensions; multivariate polar coordinates


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Documentation for package ‘SphericalCubature’ version 1.0.1

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SphericalCubature-package Numerical integration over spheres and balls in n-dimensions; multivariate polar/spherical coordinates
adaptIntegrateBall Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateBallSplit Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateCheck Miscellaneous functions used by SphericalCubature package.
adaptIntegrateSphere Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateSphereSplit Adaptive integration over sphere or ball in n-dimensions
ballVolume Surface area of spheres, volumes of balls in n-dimensions.
integrateBallPolynomial Integration of polynomials over sphere or ball.
integrateSpherePolynomial Integration of polynomials over sphere or ball.
integrateSphereStroud11 Integrate a function over the sphere in n-dimensions.
nextGraySubset Miscellaneous functions used by SphericalCubature package.
nextMultiIndex Miscellaneous functions used by SphericalCubature package.
partitionRegion Miscellaneous functions used by SphericalCubature package.
polar2rect n-dimensional polar coordinate transformations
rect2polar n-dimensional polar coordinate transformations
sphereArea Surface area of spheres, volumes of balls in n-dimensions.
SphericalCubature Numerical integration over spheres and balls in n-dimensions; multivariate polar/spherical coordinates
SphericalMisc Miscellaneous functions used by SphericalCubature package.