PINA Tutorials ====================== In this folder we collect useful tutorials in order to understand the principles and the potential of **PINA**. Getting started with PINA ------------------------- - `Introduction to PINA for Physics Informed Neural Networks training `_ - `Introduction to PINA Equation class `_ - `PINA and PyTorch Lightning, training tips and visualizations `_ - `Building custom geometries with PINA Location class `_ Physics Informed Neural Networks -------------------------------- - `Two dimensional Poisson problem using Extra Features Learning `_ - `Two dimensional Wave problem with hard constraint `_ - `Resolution of a 2D Poisson inverse problem `_ - `Periodic Boundary Conditions for Helmotz Equation `_ - `Multiscale PDE learning with Fourier Feature Network `_ Neural Operator Learning ------------------------ - `Two dimensional Darcy flow using the Fourier Neural Operator `_ - `Time dependent Kuramoto Sivashinsky equation using the Averaging Neural Operator `_ Supervised Learning ------------------- - `Unstructured convolutional autoencoder via continuous convolution `_ - `POD-RBF and POD-NN for reduced order modeling `_