Abstract. Several authors have proposed the use of exponential time di↵erencing (ETD) for Hodgkin-Huxley-like partial and ordinary di↵erential equations (PDEs and ODEs). For HodgkinHuxley-like PDEs, ETD is attractive because it can deal e↵ectively with the sti↵ness issues that di↵usion gives rise to. However, large neuronal networks are often simulated… (More)