PINNs
Physics-informed neural networks
Paper title Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Paper doi.org
A neural network takes the space and time coordinates and returns the solution. Training penalises the residual of the PDE, computed by automatic differentiation at collocation points, together with the misfit to initial, boundary or measured data; the same set-up can also identify unknown coefficients of the equation.
- Published
- JCP
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