Learn about spherical harmonics

Mathematical details

• Computing on the sphere - P. N. Swarztrauber

• Real spherical harmonics - SHTOOLS

• Python notebooks - examples and tutorials - SHTOOLS

• A New Recurrence Formula for Efficient Computation of Spherical Harmonic Transform - K. Ishioka

Wikipedia articles

• Spherical harmonics

• Vector spherical harmonics

CFD with spherical coordinates

• Quickstart Guide: Idealized Global Atmospheric Models with Spectral Dynamics - GFDL/NOAA Alternate link from web archive.

• Initial-value problem for testing shallow water models - Galewsky et al.