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lululxvi committed Oct 22, 2022
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2 changes: 1 addition & 1 deletion README.md
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Expand Up @@ -19,7 +19,7 @@ DeepXDE is a library for scientific machine learning and physics-informed learni
- NN-arbitrary polynomial chaos (NN-aPC): solving forward/inverse stochastic PDEs (sPDEs) [[J. Comput. Phys.](https://doi.org/10.1016/j.jcp.2019.07.048)]
- PINN with hard constraints (hPINN): solving inverse design/topology optimization [[SIAM J. Sci. Comput.](https://doi.org/10.1137/21M1397908)]
- improving PINN accuracy
- residual-based adaptive sampling [[SIAM Rev.](https://doi.org/10.1137/19M1274067), [arXiv](https://arxiv.org/abs/2207.10289)]
- residual-based adaptive sampling [[SIAM Rev.](https://doi.org/10.1137/19M1274067), [Comput. Methods Appl. Mech. Eng.](https://doi.org/10.1016/j.cma.2022.115671)]
- gradient-enhanced PINN (gPINN) [[Comput. Methods Appl. Mech. Eng.](https://doi.org/10.1016/j.cma.2022.114823)]
- PINN with multi-scale Fourier features [[Comput. Methods Appl. Mech. Eng.](https://doi.org/10.1016/j.cma.2021.113938)]
- [Slides](https://github.com/lululxvi/tutorials/blob/master/20211210_pinn/pinn.pdf), [Video](https://www.youtube.com/watch?v=Wfgr1pMA9fY&list=PL1e3Jic2_DwwJQ528agJYMEpA0oMaDSA9&index=13), [Video in Chinese](http://tianyuan.xmu.edu.cn/cn/minicourses/637.html)
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2 changes: 1 addition & 1 deletion docs/index.rst
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Expand Up @@ -11,7 +11,7 @@ DeepXDE
- NN-arbitrary polynomial chaos (NN-aPC): solving forward/inverse stochastic PDEs (sPDEs) [`J. Comput. Phys. <https://doi.org/10.1016/j.jcp.2019.07.048>`_]
- PINN with hard constraints (hPINN): solving inverse design/topology optimization [`SIAM J. Sci. Comput. <https://doi.org/10.1137/21M1397908>`_]
- improving PINN accuracy
- residual-based adaptive sampling [`SIAM Rev. <https://doi.org/10.1137/19M1274067>`_, `arXiv <https://arxiv.org/abs/2207.10289>`_]
- residual-based adaptive sampling [`SIAM Rev. <https://doi.org/10.1137/19M1274067>`_, `Comput. Methods Appl. Mech. Eng. <https://doi.org/10.1016/j.cma.2022.115671>`_]
- gradient-enhanced PINN (gPINN) [`Comput. Methods Appl. Mech. Eng. <https://doi.org/10.1016/j.cma.2022.114823>`_]
- PINN with multi-scale Fourier features [`Comput. Methods Appl. Mech. Eng. <https://doi.org/10.1016/j.cma.2021.113938>`_]
- `Slides <https://github.com/lululxvi/tutorials/blob/master/20211210_pinn/pinn.pdf>`_, `Video <https://www.youtube.com/watch?v=Wfgr1pMA9fY&list=PL1e3Jic2_DwwJQ528agJYMEpA0oMaDSA9&index=13>`_, `Video in Chinese <http://tianyuan.xmu.edu.cn/cn/minicourses/637.html>`_
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2 changes: 1 addition & 1 deletion docs/user/research.rst
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Expand Up @@ -64,7 +64,7 @@ Here is a list of research papers that used DeepXDE. If you would like your pape
PINN
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#. C. Wu, M. Zhu, Q. Tan, Y. Kartha, & L. Lu. `A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks <https://arxiv.org/abs/2207.10289>`_. *arXiv preprint arXiv:2207.10289*, 2022.
#. C. Wu, M. Zhu, Q. Tan, Y. Kartha, & L. Lu. `A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks <https://doi.org/10.1016/j.cma.2022.115671>`_. *Computer Methods in Applied Mechanics and Engineering*, 403, 115671, 2023.
#. Y. Wang, X. Han, C. Chang, D. Zha, U. Braga-Neto, & X. Hu. `Auto-PINN: Understanding and optimizing physics-informed neural architecture <https://arxiv.org/abs/2205.13748>`_. *arXiv preprint arXiv:2205.13748*, 2022.
#. X. Wang, J. Li, & J. Li. `A deep learning based numerical PDE method for option pricing <https://link.springer.com/article/10.1007/s10614-022-10279-x>`_. *Computational Economics*, 1-16, 2022.
#. A. Serebrennikova, R. Teubler, L. Hoffellner, E. Leitner, U. Hirn, & K. Zojer. `Transport of organic volatiles through paper: Physics-informed neural networks for solving inverse and forward problems <https://www.researchgate.net/profile/Alexandra-Serebrennikova/publication/360717115_Transport_of_organic_volatiles_through_paper_physics-informed_neural_networks_for_solving_inverse_and_forward_problems/links/6286753e8ecbaa07fcc19c64/Transport-of-organic-volatiles-through-paper-physics-informed-neural-networks-for-solving-inverse-and-forward-problems.pdf>`_. 2022.
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