A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation

@article{Ovadia2022ACD,
  title={A Convolutional Dispersion Relation Preserving Scheme for the Acoustic Wave Equation},
  author={Oded Ovadia and Adar Kahana and Eli Turkel},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.10825}
}
We propose an accurate numerical scheme for approximating the solution of the two dimensional acoustic wave problem. We use machine learning to find a stencil suitable even in the presence of high wavenumbers. The proposed scheme incorporates physically informed elements from the field of optimized numerical schemes into a convolutional optimization machine learning algorithm. 

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