Emmrich, Etienne2021-12-172021-12-172000-11-012197-8085https://depositonce.tu-berlin.de/handle/11303/15948http://dx.doi.org/10.14279/depositonce-14721The temporal discretisation of a moderate semilinear parabolic problem in an abstract setting by means of the two-step backward differentiation formula with variable step sizes is analysed. Stability as well as optimal error estimates are derived for step size ratios bounded by 1.91.en510 Mathematiksemilinear parabolic problemtime discretisationbackward differentiation formulanon-uniform gridstabilityerror estimateResearch Paper