Treatment of the stagnation point in arithmetical methods

Abstract

In using any of the Relaxation Techniques near a stagnation point difficulties arise if the variable is log 1/q. This tends to infinity and the difference equation no longer represents adequately the differential equation without special modification. Methods are given whereby larger squares can be used than had been previously practicable. As little variation as possible has been introduced into the procedure so that if an electronic calculator is used, the alterations to the circuits would be reduced to a minimum.