Numerical Integration over Spheres and Balls in n-Dimensions;
Multivariate Polar Coordinates
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Documentation for package ‘SphericalCubature’ version 1.5
- DESCRIPTION file.
- Code demos. Use demo() to run them.
Help Pages
| SphericalCubature-package | Numerical integration over spheres and balls in n-dimensions; multivariate polar/spherical coordinates |
| adaptIntegrateBallPolar | Adaptive integration over sphere or ball in n-dimensions |
| adaptIntegrateBallPolarSplit | Adaptive integration over sphere or ball in n-dimensions |
| adaptIntegrateBallRadial | Adaptive integration over the unit ball |
| adaptIntegrateBallTri | Adaptive integration over the unit ball |
| adaptIntegrateSphereCheck | Miscellaneous internal functions used by SphericalCubature package. |
| adaptIntegrateSpherePolar | Adaptive integration over sphere or ball in n-dimensions |
| adaptIntegrateSpherePolarSplit | Adaptive integration over sphere or ball in n-dimensions |
| adaptIntegrateSphereTri | Adaptive integration over spherical triangles |
| adaptIntegrateSphereTri3d | Adaptive integration over spherical triangles |
| adaptIntegrateSphereTriI0 | Adaptive integration over spherical triangles |
| adaptIntegrateSphereTriI1 | Adaptive integration over spherical triangles |
| adaptIntegrateSphereTriSubdivideK | Adaptive integration over spherical triangles |
| ballVolume | Surface area of spheres, volumes of balls in n-dimensions. |
| CheckUnitVectors | Miscellaneous internal functions used by SphericalCubature package. |
| 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. |
| nextBinary | Miscellaneous internal functions used by SphericalCubature package. |
| nextGraySubset | Miscellaneous internal functions used by SphericalCubature package. |
| nextMultiIndex | Miscellaneous internal functions used by SphericalCubature package. |
| Orthants | Miscellaneous internal functions used by SphericalCubature package. |
| partitionRegion | Miscellaneous internal 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 internal functions used by SphericalCubature package. |
| SubdivideSphereTriByOrthant | Miscellaneous internal functions used by SphericalCubature package. |