Stability and Error of the Variable Two-step Bdf for Semilinear Parabolic Problems

Abstract

The temporal discretisation of a moderate semilinear parabolic problem in an abstract setting by the two-step backward differentiation formula with variable step sizes is analysed. Stability as well as optimal smooth data error estimates are derived if the ratios of adjacent step sizes are bounded from above by 1.91. AMS Mathematics Subject Classification : 65M12, 65J15, 35K90, 47J35

Cite this paper

@inproceedings{EmmrichStabilityAE, title={Stability and Error of the Variable Two-step Bdf for Semilinear Parabolic Problems}, author={Etienne Emmrich} }