ABSTRACT
For computational tasks, a standard approach is to use latitude-longitude coordinates. In doing so, computations with functions on the sphere can be conveniently related to obligations with functions on a rectangular domain. The resulting latitude-longitude rules are useful whenever data sets are available in all nodes on the sphere that are originated by the rectangular grid points in accordance with the coordinate transform. However, this procedure also shows many calamities due to the artificial pole singularities introduced by the coordinate transform and the non-equidistribution of the data system generated on the sphere.
