TY  - UNPB
ID  - dl3-c01-1
TI  - Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations
AU  - Maziar Raissi
AU  - Paris Perdikaris
AU  - George Em Karniadakis
PY  - 2017
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/1711.10561
N1  - 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.
ER  - 

TY  - UNPB
ID  - dl3-c01-2
TI  - Understanding and mitigating gradient pathologies in physics-informed neural networks
AU  - Sifan Wang
AU  - Yujun Teng
AU  - Paris Perdikaris
PY  - 2020
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2001.04536
N1  - 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.
ER  - 

TY  - UNPB
ID  - dl3-c01-3
TI  - When and why PINNs fail to train: A neural tangent kernel perspective
AU  - Sifan Wang
AU  - Xinling Yu
AU  - Paris Perdikaris
PY  - 2020
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2007.14527
N1  - 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.
ER  - 

TY  - UNPB
ID  - dl3-c01-4
TI  - Characterizing possible failure modes in physics-informed neural networks
AU  - Aditi S. Krishnapriyan
AU  - Amir Gholami
AU  - Shandian Zhe
AU  - Robert M. Kirby
AU  - Michael W. Mahoney
PY  - 2021
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2109.01050
N1  - 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.
ER  - 

TY  - UNPB
ID  - dl3-c01-5
TI  - Respecting causality is all you need for training physics-informed neural networks
AU  - Sifan Wang
AU  - Shyam Sankaran
AU  - Paris Perdikaris
PY  - 2022
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2203.07404
N1  - 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.
ER  - 

TY  - UNPB
ID  - dl3-c01-6
TI  - Parallel Physics-Informed Neural Networks via Domain Decomposition
AU  - Khemraj Shukla
AU  - Ameya D. Jagtap
AU  - George Em Karniadakis
PY  - 2021
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2104.10013
N1  - 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.
ER  -