To give a clearer insight into the dominant error order restriction, the unit converter should output $\frac{\delta_x^{p+1}}{\delta_t}+\delta_t^2$ and $\delta_x^p+\delta_t^2$, ideally also stating which is the minimum and which variable (dt or dx) would be next to be decreased for better accuracy, since error order is $\mathcal{O}\left(\mathrm{min}\left(\frac{\delta_x^{p+1}}{\delta_t}, \delta_x^p \right) + \delta_t^2\right)$.
To give a clearer insight into the dominant error order restriction, the unit converter should output$\frac{\delta_x^{p+1}}{\delta_t}+\delta_t^2$ and $\delta_x^p+\delta_t^2$ , ideally also stating which is the minimum and which variable (dt or dx) would be next to be decreased for better accuracy, since error order is $\mathcal{O}\left(\mathrm{min}\left(\frac{\delta_x^{p+1}}{\delta_t}, \delta_x^p \right) + \delta_t^2\right)$ .