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@@ -9,13 +9,56 @@ References: For Domain Decomposition based PINN framework | |
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1. A.D.Jagtap, G.E.Karniadakis, Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations, Commun. Comput. Phys., Vol.28, No.5, 2002-2041, 2020. (https://doi.org/10.4208/cicp.OA-2020-0164) | ||
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@article{jagtap2020extended, | ||
title={Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations}, | ||
author={Jagtap, Ameya D and Karniadakis, George Em}, | ||
journal={Communications in Computational Physics}, | ||
volume={28}, | ||
number={5}, | ||
pages={2002--2041}, | ||
year={2020}, | ||
publisher={GLOBAL SCIENCE PRESS ROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG~…} | ||
} | ||
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2. A.D.Jagtap, E. Kharazmi, G.E.Karniadakis, Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems, Computer Methods in Applied Mechanics and Engineering, 365, 113028 (2020). (https://doi.org/10.1016/j.cma.2020.113028) | ||
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@article{jagtap2020conservative, | ||
title={Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems}, | ||
author={Jagtap, Ameya D and Kharazmi, Ehsan and Karniadakis, George Em}, | ||
journal={Computer Methods in Applied Mechanics and Engineering}, | ||
volume={365}, | ||
pages={113028}, | ||
year={2020}, | ||
publisher={Elsevier} | ||
} | ||
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References: For adaptive activation functions | ||
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3. A.D.Jagtap, K.Kawaguchi, G.E.Karniadakis, Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20200334, 2020. (http://dx.doi.org/10.1098/rspa.2020.0334). | ||
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@article{jagtap2020locally, | ||
title={Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks}, | ||
author={Jagtap, Ameya D and Kawaguchi, Kenji and Em Karniadakis, George}, | ||
journal={Proceedings of the Royal Society A}, | ||
volume={476}, | ||
number={2239}, | ||
pages={20200334}, | ||
year={2020}, | ||
publisher={The Royal Society} | ||
} | ||
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4. A.D. Jagtap, K.Kawaguchi, G.E.Karniadakis, Adaptive activation functions accelerate convergence in deep and physics-informed neural networks, Journal of Computational Physics, 404 (2020) 109136. (https://doi.org/10.1016/j.jcp.2019.109136) | ||
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@article{jagtap2020adaptive, | ||
title={Adaptive activation functions accelerate convergence in deep and physics-informed neural networks}, | ||
author={Jagtap, Ameya D and Kawaguchi, Kenji and Karniadakis, George Em}, | ||
journal={Journal of Computational Physics}, | ||
volume={404}, | ||
pages={109136}, | ||
year={2020}, | ||
publisher={Elsevier} | ||
} | ||
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For any queries regarding the XPINN code, feel free to contact me : [email protected], [email protected] |