In this work, an algebraic stability analysis for the quasi-explicit MOT-MFIE solver, which uses PE(CE)m type predictor-corrector schemes will be presented. The analysis is an extension of the one described in (S. P. Walker et al., Int. J. Numer.
Model.: Electron. Networks, Device Fields, 474(15), 459474, 2002); the extension takes into account the predictor and corrector coefficients as well the number of corrector step repetitions while constructing the companion matrix of the quasi-explicit MOT system. Then, the locations of the companion matrix¹s eigenvalues are used to investigate the stability of the solver. Indeed, this algebraic analysis, which is executed on several examples, demonstrates that the explicit MOT solution is stable.
