Tutorial for Edinburgh (#564)

* Installation instructions

* Started on notebook on how to add a new problem class

* Added loads of stuff to first tutorial notebook

* Minor changes

* Wrote most of pySDC+Firedrake notebook

* Did more for the coupling thing

* Started on third notebook

* Cleaned up some stuff

* Added notebook describing pySDC in general

* Small fixes

* Added section using pySDC as integrator within libs

* Final touches

* Cleanup

* Replaced all pdf images with pngs

Author: brownbaerchen

pySDC/playgrounds/PinT_Workshop_2025/0_pySDC.ipynb

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+pySDC Tutorial at 14th PinT Workshop
+====================================
+**Time**: July 7, 2025
+
+**Place**: ICMS, Edinburgh
+
+Installation
+------------
+In order to start playing, install `pySDC` and its dependencies, ideally in developer mode.
+First, we need to download the repository.
+There are multiple ways to do that, but if you plan to work with `pySDC` directly, the best way is to
+(1) `fork <https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/working-with-forks>`_
+the main repository to your Github account and then
+(2) `clone <https://docs.github.com/en/repositories/creating-and-managing-repositories/cloning-a-repository>`_ it from there.
+This way you can work on a separate repository while being able to pull updates from the main one and
+starting pull requests to merge back your ideas.
+You can also clone the main repository, but this will not accept your pushes.
+Downloading `pySDC` as a tarball is the easiest, but also the least favorable solution.
+Finally, the code can also be obtained using ``pip install``, but then sources are not that easily accessible.
+
+So, please go ahead and clone from your fork on Github:
+
+.. code-block:: bash
+
+    git clone https://github.com/<your_account>/pySDC.git
+
+Next, navigate to the directory that contains this file and setup up a virtual environment, e.g. by using `Micromamba <https://mamba.readthedocs.io/en/latest/user_guide/micromamba.html>`_.
+From the root directory of `pySDC`, you can run
+
+.. code-block:: bash
+
+    cd <pySDC-root-dir>/pySDC/playgrounds/PinT_Workshop_2025
+     
+Now, create the virtual environment with the following command. If you are using ``conda`` instead of ``micromamba``, you can just replace ``micromamba`` with ``conda`` in the commands, or run first run ``conda install -c conda-forge micromamba``.
+ 
+.. code-block:: bash
+
+    micromamba env create -f environment-tutorial.yml
+    micromamba activate pySDC_tutorial
+
+     
+This may take a while...
+Note that this folder and all changes in it will remain even if you leave the virtual environment.
+Only installations made with ``micromamba`` or ``pip`` are affected by changing the environment.
+Use `branches <https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/proposing-changes-to-your-work-with-pull-requests/about-branches>`_ to isolate development work.
+**Please make sure to perform all the following steps inside the virtual environment!**
+
+Finally, you can install `pySDC` via ``pip`` in editable mode using:
+
+.. code-block:: bash
+
+    pip install -e <pySDC-root-dir>
+
+You don't need to do this, but it can make life easier when it comes to setting path variables etc.
+
+Testing
+-------
+
+Change to `pySDC`'s root directory and run
+
+.. code-block:: bash
+
+    pytest pySDC/tests -m "base and not slow"
+
+This will check if "all" went well with the installation you just created.
+Note that at the time of creating this tutorial we had to remove `mpi4py_fft` from the dependencies.
+Therefore, 7 out of the 39 selected test cases may fail!
+Anyway, you are now ready to play with `pySDC`.
+
+Jupyter
+-------
+In order to use our virtual environment within Jupyter, we make a kernel for it with all our nice packages.
+We do that with
+
+.. code-block:: bash
+
+    python -m ipykernel install --user --name=pySDC_tutorial
+
+Now, start jupyter and have a look at the notebooks!
+
+.. code-block:: bash
+
+   jupyter notebook

pySDC/playgrounds/PinT_Workshop_2025/1_Add_problem_class.ipynb

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+---
+
+name: pySDC_tutorial
+channels:
+  - conda-forge
+dependencies:
+  - numpy>=1.15.4
+  - scipy>=0.17.1
+  - matplotlib>=3.0
+  - dill>=0.2.6
+  - vtk
+  - mpich
+  - mpi4py-fft
+  - mpi4py>=3.0.0
+  - pytest
+  - pytest-cov
+  - jupyter
+  - ipyparallel
+  - pip
+  - ipython
+  - pip:
+    - jdc
+    - qmat