Demos of Operator Learning
==========================

Here are some demos of learning solution operators of PDEs.

DeepONet
--------

.. toctree::
   :maxdepth: 1

   operator/antiderivative_aligned
   operator/antiderivative_unaligned

PI-DeepONet
-----------

.. toctree::
   :maxdepth: 1

   operator/poisson.1d.pideeponet

- `Antiderivative operator with aligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/antiderivative_aligned_pideeponet.py>`_
- `Antiderivative operator with unaligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/antiderivative_unaligned_pideeponet.py>`_
- `Advection equation with aligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/advection_aligned_pideeponet.py>`_
- `Advection equation with unaligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/advection_unaligned_pideeponet.py>`_
- `Advection equation 2D with aligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/advection_aligned_pideeponet_2d.py>`_
- `Advection equation 2D with unaligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/advection_unaligned_pideeponet_2d.py>`_
- `Diffusion reaction equation with aligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/diff_rec_aligned_pideeponet.py>`_
- `Diffusion reaction equation with unaligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/diff_rec_unaligned_pideeponet.py>`_
- `Stokes flow with aligned points <https://github.com/lululxvi/deepxde/tree/master/examples/operator/stokes_aligned_pideeponet.py>`_

.. toctree::
   :maxdepth: 1

   operator/zcs

-
    - `Diffusion reaction equation with aligned points using ZCS <https://github.com/lululxvi/deepxde/tree/master/examples/operator/diff_rec_aligned_zcs_pideeponet.py>`_
    - `Stokes flow with aligned points using ZCS <https://github.com/lululxvi/deepxde/tree/master/examples/operator/stokes_aligned_zcs_pideeponet.py>`_