  The paper by Bowen, Mancini, Fessatidis, and Murawski (2012 Phys. Scr. {\bf
85}, 065005) demonstrates in a dramatic fashion the serious difficulties that
can arise when one rushes to perform numerical studies before understanding the
physics and mathematics of the problem at hand and without understanding the
limitations of the numerical methods used. Based on their flawed numerical
work, the authors conclude that the work of Bender and Boettcher is wrong even
though it has been verified at a completely rigorous level. Unfortunately, the
numerical procedures performed and described in the paper by Bowen et al are
incorrectly applied and wrongly interpreted.
