Paper first draft.
@article{lagaris1998artificial,
- title={{Artificial neural networks for solving ordinary and partial differential equations}},
- author={{Lagaris}, Isaac E and {Likas}, Aristidis and {Fotiadis}, Dimitrios I},
+ title={Artificial neural networks for solving ordinary and partial differential equations},
+ author={Lagaris, Isaac E and Likas, Aristidis and Fotiadis, Dimitrios I},
journal={IEEE transactions on neural networks},
volume={9},
number={5},
year={1998},
publisher={IEEE}
}
+@article{mcfall2009artificial,
+ title={Artificial neural network method for solution of boundary value problems with exact satisfaction of arbitrary boundary conditions},
+ author={McFall, Kevin Stanley and Mahan, James Robert},
+ journal={IEEE Transactions on Neural Networks},
+ volume={20},
+ number={8},
+ pages={1221--1233},
+ year={2009},
+ publisher={IEEE}
+}
+@article{lu2019deepxde,
+ title={DeepXDE: A deep learning library for solving differential equations},
+ author={Lu, Lu and Meng, Xuhui and Mao, Zhiping and Karniadakis, George E},
+ journal={arXiv preprint arXiv:1907.04502},
+ year={2019}
+}
+@article{koryagin2019pydens,
+ title={PyDEns: a Python Framework for Solving Differential Equations with Neural Networks},
+ author={Koryagin, Alexander and Khudorozkov, Roman and Tsimfer, Sergey},
+ journal={arXiv preprint arXiv:1909.11544},
+ year={2019}
+}
\ No newline at end of file
