A multiresolution adaptive wavelet method for nonlinear partial differential equations

@article{Harnish2021AMA,
  title={A multiresolution adaptive wavelet method for nonlinear partial differential equations},
  author={Cale Harnish and Luke Dalessandro and K. Matous and D. Livescu},
  journal={ArXiv},
  year={2021},
  volume={abs/2106.07628}
}
The multiscale complexity of modern problems in computational science and engineering can prohibit the use of traditional numerical methods in multi-dimensional simulations. Therefore, novel algorithms are required in these situations to solve partial differential equations (PDEs) with features evolving on a wide range of spatial and temporal scales. To meet these challenges, we present a multiresolution wavelet algorithm to solve PDEs with significant data compression and explicit error… Expand
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