Numerical treatment of polar coordinate singularities
The authors present a method for eliminating the coordinate singularities whereby singular coordinates are redefined so that data are smoothly differentiated through the pole. The method avoids to place a grid point directly at the pole, and consequently eliminates the need for any pole equation. It appears to be an effective and systematic way to treat many scalar and vector equations in cylindrical and spherical coordinates.
scientific article; zbMATH DE number 1422659