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Recent years have witnessed growing interests in solving partial differential equations by deep neural networks, especially in the high-dimensional case.
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Isaac E Lagaris, Aristidis Likas, and Dimitrios I Fotiadis · 1998
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Ameya D. Jagtap, Kenji Kawaguchi, and George Em Karniadakis · 2019
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Quasi-monte carlo sampling for machine-learning partial differential equations
Jingrun Chen, Rui Du, Panchi Li, and Liyao Lyu · 2019
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Weak adversarial networks for high-dimensional partial differential equations
Yaohua Zang, Gang Bao, Xiaojing Ye, and Haomin Zhou · 2020
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The deep ritz method: A deep learning-based numerical algorithm for solving variational problems
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Solving high-dimensional partial differential equations using deep learning
Jiequn Han, Arnulf Jentzen, and E Weinan · 2018
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DGM: A deep learning algorithm for solving partial differential equations
Justin Sirignano and Konstantinos Spiliopoulos · 2018
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Variational physics-informed neural networks for solving partial differential equations
EHSAN Kharazmi, Zhongqiang Zhang, and GE Karniadakis · 2019
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