Backward difference formulae: New multipliers and stability properties for parabolic equations

@article{Akrivis2015BackwardDF,
  title={Backward difference formulae: New multipliers and stability properties for parabolic equations},
  author={Georgios Akrivis and Emmanuil Katsoprinakis},
  journal={Math. Comput.},
  year={2015},
  volume={85},
  pages={2195-2216}
}
We determine new, more favourable, and in a sense optimal, multipliers for the threeand five-step backward difference formula (BDF) methods. We apply the new multipliers to establish stability of these methods as well as of their implicit–explicit counterparts for parabolic equations by energy techniques, under milder conditions than the ones recently imposed in [4, 1]. 

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