A deep learning approach: physics-informed neural networks for solving a nonlinear telegraph equation with different boundary conditions. [PDF]
Deresse AT, Bekela AS.
europepmc +1 more source
Coagulo-Net: Enhancing the mathematical modeling of blood coagulation using physics-informed neural networks. [PDF]
Qian Y +7 more
europepmc +1 more source
Physics-informed neural networks with hybrid Kolmogorov-Arnold network and augmented Lagrangian function for solving partial differential equations. [PDF]
Zhang Z +5 more
europepmc +1 more source
Identifying Heterogeneous Micromechanical Properties of Biological Tissues via Physics-Informed Neural Networks. [PDF]
Wu W +4 more
europepmc +1 more source
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Physics-Informed Neural Networks
2021Physics-informed neural networks (PINNs) are used for problems where data are scarce. The underlying physics is enforced via the governing differential equation, including the residual in the cost function. PINNs can be used for both solving and discovering differential equations.
Stefan Kollmannsberger +3 more
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Physics-informed neural networks for tsunami inundation modeling
We use physics-informed neural networks for solving the shallow-water equations for tsunami modeling. Physics-informed neural networks are an optimization based approach for solving differential equations that is completely meshless.
Rüdiger Brecht, Alexander Bihlo
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Self-adaptive physics-informed neural networks
Journal of Computational Physics, 2022Levi D. McClenny, Ulisses M. Braga-Neto
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Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next
Journal of Scientific Computing, 2022Salvatore Cuomo +2 more
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hp-VPINNs: Variational physics-informed neural networks with domain decomposition
Computer Methods in Applied Mechanics and Engineering, 2021Ehsan Kharazmi +2 more
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Outlier-resistant physics-informed neural network
Physical Review ERecent advances in machine learning have introduced physics-informed neural networks (PINN) as a valuable tool for addressing dynamics through governing equations and experimental observations. Outliers can be present in measurements and significantly affect the accuracy of the solutions provided by PINN.
D. H. G. Duarte +2 more
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