To investigate whether the proposed methods can capture discontinuities in the DRT, the PWC and Gerischer models were also studied . Figure and Figures S38-S39 show the averaged recovered Nyquist plots and DRTs for the PWC. Consistent with the single and 2×ZARC models, the LC method slightly under-recovered the exact DRT while the re-im CV and kf-CV methods led to the recovered DRTs with larger uncertainty (see Figure , Figure , and Figures ). For the Gerischer model, the same conclusion can be reached as for the PWC model (Figure and Figures ). Due to their proximity to the optimal method and their lower uncertainty, the GCV and mGCV methods appeared to outperform the other methods, including when the error level increased and when the noise was modeled according to (21) (Figures S42-S49, and Tables ).