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Co-authored-by: Dario Coscia <dcoscia@euclide.maths.sissa.it>
Co-authored-by: Dario Coscia <dariocoscia@Dario-Coscia.local>
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Nicola Demo
2023-10-23 12:48:09 +02:00
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# Tutorials
# PINA Tutorials
In this folder we collect useful tutorials in order to understand the principles and the potential of **PINA**. Please read the following table for details about the tutorials. The HTML version of all the tutorials is available also within the [documentation](http://mathlab.github.io/PINA/).
## Getting started with PINA
| Name | Description | Type of Problem |
|-------|---------------|-------------------|
| Tutorial1&#160;[[.ipynb](tutorial1/tutorial.ipynb),&#160;[.py](tutorial1/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial1/tutorial.html)]| Introduction to PINA features | `SpatialProblem` |
| Tutorial2&#160;[[.ipynb](tutorial2/tutorial.ipynb),&#160;[.py](tutorial2/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial2/tutorial.html)]| Poisson problem on regular domain using extra features | `SpatialProblem` |
| Tutorial3&#160;[[.ipynb](tutorial3/tutorial.ipynb),&#160;[.py](tutorial3/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial3/tutorial.html)]| Wave problem on regular domain using custom pytorch networks. | `SpatialProblem`, `TimeDependentProblem` |
| Tutorial4&#160;[[.ipynb](tutorial4/tutorial.ipynb),&#160;[.py](tutorial4/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial4/tutorial.html)]| Continuous Convolutional Filter usage. | `None` |
| Tutorial5&#160;[[.ipynb](tutorial5/tutorial.ipynb),&#160;[.py](tutorial5/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial5/tutorial.html)]| Fourier Neural Operator. | `AbstractProblem` |
| Description | Tutorial |
|---------------|-----------|
Introduction to PINA for Physics Informed Neural Networks training|[[.ipynb](tutorial1/tutorial.ipynb),&#160;[.py](tutorial1/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial1/tutorial.html)]|
Building custom geometries with PINA `Location` class|[[.ipynb](tutorial1/tutorial.ipynb),&#160;[.py](tutorial1/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial1/tutorial.html)]|
## Physics Informed Neural Networks
| Description | Tutorial |
|---------------|-----------|
Two dimensional Poisson problem using Extra Features Learning &nbsp; &nbsp; |[[.ipynb](tutorial2/tutorial.ipynb),&#160;[.py](tutorial2/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial2/tutorial.html)]|
Two dimensional Wave problem with hard constraint |[[.ipynb](tutorial3/tutorial.ipynb),&#160;[.py](tutorial3/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial3/tutorial.html)]|
## Neural Operator Learning
| Description | Tutorial |
|---------------|-----------|
Two dimensional Darcy flow using the Fourier Neural Operator &nbsp; &nbsp; &nbsp;&nbsp; &nbsp;|[[.ipynb](tutorial5/tutorial.ipynb),&#160;[.py](tutorial5/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial5/tutorial.html)]|
## Supervised Learning
| Description | Tutorial |
|---------------|-----------|
Unstructured convolutional autoencoder via continuous convolution |[[.ipynb](tutorial4/tutorial.ipynb),&#160;[.py](tutorial4/tutorial.py),&#160;[.html](http://mathlab.github.io/PINA/_rst/tutorial4/tutorial.html)]|