[i_cannot_hack]

I'm not sure I follow you.

When you discretize a continuous equation for numerical analysis, you always make sure to use a consistent discretization. The point of a consistent discretization is that it can be proven its solution will converge to the exact solution of the continuous equation as the step size approaches 0.

Consistent discretizations are possible even for nonlinear equations.

Either way we are simply discussing limitations of a chosen numerical method, which doesn't really support the arguments in the article.