https://www.chenk.top/en/tags/fno/Recent content in FNO on Chen Kai BlogHugoenThu, 16 May 2024 09:00:00 +0000https://www.chenk.top/en/pde-ml/02-neural-operator-theory/Thu, 16 May 2024 09:00:00 +0000https://www.chenk.top/en/pde-ml/02-neural-operator-theory/<p>A classical PDE solver — finite difference, finite element, spectral — is a function: feed it one initial condition and one set of coefficients, get back one solution. A PINN is the same kind of object dressed in neural-network clothes: each new initial condition demands a fresh round of training. Switch the inflow velocity on a wing or move a single sensor reading in a forecast and you reset the clock.</p>