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The aim is to develop an integrated approach suitable for the computation of the whole range of existence of a quasi-stationary discharge from its inception to a non-stationary transition to another discharge form, such as a transition from the Townsend discharge to a normal glow discharge or the corona-to-streamer transition. This task includes three steps: (i) modeling of the ignition of a self-sustaining discharge, (ii) modeling of the quasi-stationary evolution of the discharge with increasing current, and (iii) the determination of the current range where the quasi-stationary discharge becomes unstable and the non-stationary transition to another discharge form begins. Each of these three steps is considered in some detail with a number of examples, referring mostly to discharges in high-pressure air.<\/jats:p>","DOI":"10.1063\/5.0057856","type":"journal-article","created":{"date-parts":[[2021,9,29]],"date-time":"2021-09-29T09:55:31Z","timestamp":1632909331000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":18,"title":["A practical guide to modeling low-current quasi-stationary gas discharges: Eigenvalue, stationary, and time-dependent solvers"],"prefix":"10.1063","volume":"130","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9059-1948","authenticated-orcid":false,"given":"M. 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