Extended Physics-informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations

Ameya D. Jagtap, George E. Karniadakis. Extended Physics-informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations. In Jonghyun Lee, Eric F. Darve, Peter K. Kitanidis, Michael W. Mahoney, Anuj Karpatne, Matthew W. Farthing, Tyler Hesser, editors, Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to - 24th, 2021. Volume 2964 of CEUR Workshop Proceedings, CEUR-WS.org, 2021. [doi]

@inproceedings{JagtapK21,
  title = {Extended Physics-informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations},
  author = {Ameya D. Jagtap and George E. Karniadakis},
  year = {2021},
  url = {http://ceur-ws.org/Vol-2964/article_60.pdf},
  researchr = {https://researchr.org/publication/JagtapK21},
  cites = {0},
  citedby = {0},
  booktitle = {Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to - 24th, 2021},
  editor = {Jonghyun Lee and Eric F. Darve and Peter K. Kitanidis and Michael W. Mahoney and Anuj Karpatne and Matthew W. Farthing and Tyler Hesser},
  volume = {2964},
  series = {CEUR Workshop Proceedings},
  publisher = {CEUR-WS.org},
}