The work investigates the sensitivity of PINNs to conservative versus non-conservative PDE formulations when solving benchmark problems that contain shocks and discontinuities.
Three-level order-adaptive weighted essentially non-oscillatory schemes
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Physics-Informed Neural Networks: Bridging the Divide Between Conservative and Non-Conservative Equations
The work investigates the sensitivity of PINNs to conservative versus non-conservative PDE formulations when solving benchmark problems that contain shocks and discontinuities.