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Dario Coscia
2025-03-13 12:29:19 +01:00
committed by FilippoOlivo
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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 <tutorials/tutorial1/tutorial.rst>
Introduction to PINA Equation class <tutorials/tutorial12/tutorial.rst>
PINA and PyTorch Lightning, training tips and visualizations <tutorials/tutorial11/tutorial.rst>
Building custom geometries with PINA Location class <tutorials/tutorial6/tutorial.rst>
Physics Informed Neural Networks
--------------------------------
.. toctree::
:maxdepth: 3
:titlesonly:
Two dimensional Poisson problem using Extra Features Learning<tutorials/tutorial2/tutorial.rst>
Two dimensional Wave problem with hard constraint<tutorials/tutorial3/tutorial.rst>
Resolution of a 2D Poisson inverse problem<tutorials/tutorial7/tutorial.rst>
Periodic Boundary Conditions for Helmotz Equation<tutorials/tutorial9/tutorial.rst>
Multiscale PDE learning with Fourier Feature Network<tutorials/tutorial13/tutorial.rst>
Neural Operator Learning
------------------------
.. toctree::
:maxdepth: 3
:titlesonly:
Two dimensional Darcy flow using the Fourier Neural Operator<tutorials/tutorial5/tutorial.rst>
Time dependent Kuramoto Sivashinsky equation using the Averaging Neural Operator<tutorials/tutorial10/tutorial.rst>
Supervised Learning
-------------------
.. toctree::
:maxdepth: 3
:titlesonly:
Unstructured convolutional autoencoder via continuous convolution<tutorials/tutorial4/tutorial.rst>
POD-RBF and POD-NN for reduced order modeling<tutorials/tutorial8/tutorial.rst>