Concepedia

Solution of conservative-form transport equations with physics-informed neural network

Chun Hu, Yonghe Cui, Wenyao Zhang, Qian Fang, Haiyan Wang, Qiuwang Wang, Cunlu Zhao

International Journal of Heat and Mass Transfer · 2023 · 19 citations · 31 references

DOI

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31

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

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Understanding the difficulty of training deep feedforward neural networks

Xavier Glorot, Yoshua Bengio · 2010 · 12.7K citations

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Automatic differentiation in machine learning: a survey

Atılım Güneş Baydin, Barak A. Pearlmutter, Alexey Radul et al. · Maynooth University ePrints and eTheses Archive (Maynooth University) · 2015 · 2.1K citations · Full text

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Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks

Sifan Wang, Yujun Teng, Paris Perdikaris · SIAM Journal on Scientific Computing · 2021 · 1.6K citations

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Physics-informed neural networks for high-speed flows

Zhiping Mao, Ameya D. Jagtap, George Em Karniadakis · Computer Methods in Applied Mechanics and Engineering · 2019 · 1.2K citations

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