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Stability and error of the variable two-step BDF for parabolic problems

Emmrich, Etienne

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

The 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.