Runge–Kutta Physics-Informed Neural Networks with time-discrete losses (Gauss/Radau/Lobatto) in PyTorch.
torch scientific-computing differential-equations heat-equation butcher-tableau galerkin runge-kutta manufactured-solutions pinn parabolic-equations scientific-ml physics-informed-learning parabolic-pde physics-informed-neural-networks operator-learning numerical-pde time-discretization collocation-methods pde-learning
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Updated
Sep 7, 2026 - Python