Concepedia

PPINN: Parareal physics-informed neural network for time-dependent PDEs

Xuhui Meng, Zhen Li, Dongkun Zhang, George Em Karniadakis

Computer Methods in Applied Mechanics and Engineering · 2020 · 612 citations · 31 references

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References

31

Adam: A Method for Stochastic Optimization

Diederik P. Kingma, Jimmy Ba · UvA-DARE (University of Amsterdam) · 2014 · 84.8K citations · Full text

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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

, , +16

Advances in Neural Information Processing Systems 28

Peter Flach, Meelis Kull · 2015 · 14.7K citations

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Adaptive Subgradient Methods for Online Learning and Stochastic Optimization

John C. Duchi, Elad Hazan, Yoram Singer · 2010 · 8.6K citations

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A composite neural network that learns from multi-fidelity data: Application to function approximation and inverse PDE problems

Xuhui Meng, George Em Karniadakis · Journal of Computational Physics · 2019 · 684 citations · Full text

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