DeC and ADER: Similarities, Differences and an Unified Framework

@article{Veiga2021DeCAA,
  title={DeC and ADER: Similarities, Differences and an Unified Framework},
  author={Maria Han Veiga and Philipp {\"O}ffner and Davide Torlo},
  journal={J. Sci. Comput.},
  year={2021},
  volume={87},
  pages={2}
}
In this paper, we demonstrate that the ADER approach as it is used inter alia in [1] can be seen as a special interpretation of the deferred correction (DeC) method as introduced in [2]. By using this fact, we are able to embed ADER in a theoretical background of time integration schemes and prove the relation between the accuracy order and the number of iterations which are needed to reach the desired order. Finally, we can also investigate the stability regions for the ADER approach for… 

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