@misc{dl3-c01-1,
  title = {Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations},
  author = {Maziar Raissi and Paris Perdikaris and George Em Karniadakis},
  year = {2017},
  url = {https://arxiv.org/abs/1711.10561},
  howpublished = {arXiv author manuscript},
  archivePrefix = {arXiv},
  eprint = {1711.10561},
  note = {Cited author-manuscript edition; peer review is not inferred from arXiv}
}

@misc{dl3-c01-2,
  title = {Understanding and mitigating gradient pathologies in physics-informed neural networks},
  author = {Sifan Wang and Yujun Teng and Paris Perdikaris},
  year = {2020},
  url = {https://arxiv.org/abs/2001.04536},
  howpublished = {arXiv author manuscript},
  archivePrefix = {arXiv},
  eprint = {2001.04536},
  note = {Cited author-manuscript edition; peer review is not inferred from arXiv}
}

@misc{dl3-c01-3,
  title = {When and why PINNs fail to train: A neural tangent kernel perspective},
  author = {Sifan Wang and Xinling Yu and Paris Perdikaris},
  year = {2020},
  url = {https://arxiv.org/abs/2007.14527},
  howpublished = {arXiv author manuscript},
  archivePrefix = {arXiv},
  eprint = {2007.14527},
  note = {Cited author-manuscript edition; peer review is not inferred from arXiv}
}

@misc{dl3-c01-4,
  title = {Characterizing possible failure modes in physics-informed neural networks},
  author = {Aditi S. Krishnapriyan and Amir Gholami and Shandian Zhe and Robert M. Kirby and Michael W. Mahoney},
  year = {2021},
  url = {https://arxiv.org/abs/2109.01050},
  howpublished = {arXiv author manuscript},
  archivePrefix = {arXiv},
  eprint = {2109.01050},
  note = {Cited author-manuscript edition; peer review is not inferred from arXiv}
}

@misc{dl3-c01-5,
  title = {Respecting causality is all you need for training physics-informed neural networks},
  author = {Sifan Wang and Shyam Sankaran and Paris Perdikaris},
  year = {2022},
  url = {https://arxiv.org/abs/2203.07404},
  howpublished = {arXiv author manuscript},
  archivePrefix = {arXiv},
  eprint = {2203.07404},
  note = {Cited author-manuscript edition; peer review is not inferred from arXiv}
}

@misc{dl3-c01-6,
  title = {Parallel Physics-Informed Neural Networks via Domain Decomposition},
  author = {Khemraj Shukla and Ameya D. Jagtap and George Em Karniadakis},
  year = {2021},
  url = {https://arxiv.org/abs/2104.10013},
  howpublished = {arXiv author manuscript},
  archivePrefix = {arXiv},
  eprint = {2104.10013},
  note = {Cited author-manuscript edition; peer review is not inferred from arXiv}
}