Spherical Harmonic Decomposition on a Cubic Grid

Details Spherical Harmonic Decomposition on a Cubic Grid Spherical Harmonic Decomposition on a Cubic Grid

1999-10-12

arxiv.org/abs/gr-qc/9910044v1

Class.Quant.Grav.21:S243-S248,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, LaTeX uses cjour.cls (supplied)

Scientific paper

10.1088/0264-9381/21/3/014

A method is described by which a function defined on a cubic grid (as from a finite difference solution of a partial differential equation) can be resolved into spherical harmonic components at some fixed radius. This has applications to the treatment of boundary conditions imposed at radii larger than the size of the grid, following Abrahams, Rezzola, Rupright et al.(gr-qc/9709082}. In the method described here, the interpolation of the grid data to the integration 2-sphere is combined in the same step as the integrations to extract the spherical harmonic amplitudes, which become sums over grid points. Coordinates adapted to the integration sphere are not needed.

Affiliated with

Also associated with

No associations

Rating

Spherical Harmonic Decomposition on a Cubic Grid does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spherical Harmonic Decomposition on a Cubic Grid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spherical Harmonic Decomposition on a Cubic Grid will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-675115