Modified Bdf Methods for Nonlinear Parabolic Equations


Implicit–explicit multistep methods for nonlinear parabolic equations are analyzed in [2] and [3]. If the implicit scheme is the p−step BDF, then the p−step implicit–explicit method of order p is stable provided the stability constant is less than 1/(2p−1). Based on BDF, we construct implicit methods such that the corresponding implicit–explicit scheme of order p exhibits improved stability properties.

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@inproceedings{Akrivis2014ModifiedBM, title={Modified Bdf Methods for Nonlinear Parabolic Equations}, author={Georgios Akrivis and FOTEINI KARAKATSANI}, year={2014} }