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🆕 Date Issued:
2000-11-01
🗄 In DepositOnce:2021-12-17
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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.
semilinear parabolic problemtime discretisationbackward differentiation formulanon-uniform gridstabilityerror estimate
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