[
  {
    "id": "dl3-c01-1",
    "type": "article",
    "title": "Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations",
    "author": [
      {
        "literal": "Maziar Raissi"
      },
      {
        "literal": "Paris Perdikaris"
      },
      {
        "literal": "George Em Karniadakis"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2017
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/1711.10561",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "1711.10561"
  },
  {
    "id": "dl3-c01-2",
    "type": "article",
    "title": "Understanding and mitigating gradient pathologies in physics-informed neural networks",
    "author": [
      {
        "literal": "Sifan Wang"
      },
      {
        "literal": "Yujun Teng"
      },
      {
        "literal": "Paris Perdikaris"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2020
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2001.04536",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2001.04536"
  },
  {
    "id": "dl3-c01-3",
    "type": "article",
    "title": "When and why PINNs fail to train: A neural tangent kernel perspective",
    "author": [
      {
        "literal": "Sifan Wang"
      },
      {
        "literal": "Xinling Yu"
      },
      {
        "literal": "Paris Perdikaris"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2020
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2007.14527",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2007.14527"
  },
  {
    "id": "dl3-c01-4",
    "type": "article",
    "title": "Characterizing possible failure modes in physics-informed neural networks",
    "author": [
      {
        "literal": "Aditi S. Krishnapriyan"
      },
      {
        "literal": "Amir Gholami"
      },
      {
        "literal": "Shandian Zhe"
      },
      {
        "literal": "Robert M. Kirby"
      },
      {
        "literal": "Michael W. Mahoney"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2021
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2109.01050",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2109.01050"
  },
  {
    "id": "dl3-c01-5",
    "type": "article",
    "title": "Respecting causality is all you need for training physics-informed neural networks",
    "author": [
      {
        "literal": "Sifan Wang"
      },
      {
        "literal": "Shyam Sankaran"
      },
      {
        "literal": "Paris Perdikaris"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2022
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2203.07404",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2203.07404"
  },
  {
    "id": "dl3-c01-6",
    "type": "article",
    "title": "Parallel Physics-Informed Neural Networks via Domain Decomposition",
    "author": [
      {
        "literal": "Khemraj Shukla"
      },
      {
        "literal": "Ameya D. Jagtap"
      },
      {
        "literal": "George Em Karniadakis"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2021
        ]
      ]
    },
    "URL": "https://arxiv.org/abs/2104.10013",
    "container-title": "arXiv author manuscript",
    "note": "Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.",
    "archive": "arXiv",
    "archive_location": "2104.10013"
  }
]