Fast Neural Network based Solving of Partial Differential Equations

@article{Rzepecki2022FastNN,
  title={Fast Neural Network based Solving of Partial Differential Equations},
  author={Jaroslaw Rzepecki and Daniel Bates and Chris Doran},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.08978}
}
. We present a novel method for using Neural Networks (NNs) for finding solutions to a class of Partial Di ff erential Equations (PDEs). Our method builds on recent advances in Neural Radiance Field research (NeRFs) and allows for a NN to converge to a PDE solution orders of magnitude faster than classic Physically Informed Neural Network (PINNs) approaches. 

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