SphericalCubature (version 1.5)

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

Description

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.

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Version

Install

install.packages('SphericalCubature')

Monthly Downloads

263

Version

1.5

License

GPL (>= 2)

Maintainer

John Nolan

Last Published

January 10th, 2021

Functions in SphericalCubature (1.5)

integrateSphereStroud11

Integrate a function over the sphere in n-dimensions.

adaptIntegrateSphereTri

Adaptive integration over spherical triangles

adaptIntegrateBallTri

Adaptive integration over the unit ball

SphericalCubature-package

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

sphereArea

Surface area of spheres, volumes of balls in n-dimensions.

SphericalMisc

Miscellaneous internal functions used by SphericalCubature package.

rect2polar

n-dimensional polar coordinate transformations

adaptIntegrateSpherePolar

Adaptive integration over sphere or ball in n-dimensions

integrateSpherePolynomial

Integration of polynomials over sphere or ball.