PINA Tutorials ============== In this folder we collect useful tutorials in order to understand the principles and the potential of **PINA**. Getting started with PINA ------------------------- .. toctree:: :maxdepth: 3 :titlesonly: `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 -------------------------------- .. toctree:: :maxdepth: 3 :titlesonly: `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 ------------------------ .. toctree:: :maxdepth: 3 :titlesonly: `Two dimensional Darcy flow using the Fourier Neural Operator `_ `Time dependent Kuramoto Sivashinsky equation using the Averaging Neural Operator `_ Supervised Learning ------------------- .. toctree:: :maxdepth: 3 :titlesonly: `Unstructured convolutional autoencoder via continuous convolution `_ `POD-RBF and POD-NN for reduced order modeling `_