An unconditionally stable fully conservative semi-Lagrangian method

@article{Lentine2011AnUS,
  title={An unconditionally stable fully conservative semi-Lagrangian method},
  author={Michael Lentine and Jon Gretarsson and Ronald Fedkiw},
  journal={J. Comput. Physics},
  year={2011},
  volume={230},
  pages={2857-2879}
}
Semi-Lagrangian methods have been around for some time, dating back at least to [3]. Researchers have worked to increase their accuracy, and these schemes have gained newfound interest with the recent widespread use of adaptive grids where the CFL-based time step restriction of the smallest cell can be overwhelming. Since these schemes are based on characteristic tracing and interpolation, they do not readily lend themselves to a fully conservative implementation. However, we propose a novel… CONTINUE READING
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