A high order, block finite difference, error inhibiting scheme for the transport equation
<|reference_start|>A high order, block finite difference, error inhibiting scheme for the transport equation: We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a six-order convergence rate for long times. This scheme outperforms the standard fourth-order Finite Difference scheme. We also demonstrate that the proposed scheme is a particular type of nodal-based Discontinuous Galerkin method with $p=1$.<|reference_end|>
@article{ditkowski2024a,
    title={A high order, block finite difference, error inhibiting scheme for the
  transport equation},
    author={Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu},
    journal={arXiv preprint arXiv:2402.11617},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.11617},
    primaryClass={math.NA cs.NA}
}