Update on README.md

README.md

@@ -8,41 +8,34 @@ T. Wenzel, F. Marchetti, E. Perracchione
 ```
 
 It was used to carry out the numerical experiments and generate the figures for the publication.
-The experiments were performed on Linux systems in 2023 and should work with Python versions of that time (e.g., `python3.9`).
+The experiments were performed on Linux systems in 2023 and should work with Python versions of that time (e.g., `python3.7`).
 The steps below each indicate a setup to be executed in a terminal, resulting in a URL printed to be opened in a browser to view and run the indicated notebooks.
 
 
-To reproduce the figures and results CHANGE FROM HERE ON!!!
-------------------------------------
+## Installation
 
-The data collected during the experiments is contained within this repository (in the `notebooks/data_figures` folder), and generating the figures is straightforward:
+To create an virtual environment and install the required packages, simply run the `setup.sh` file. 
 
-To setup an evironment for regenerating the figures, execute:
-```bash
-export BASEDIR=$PWD
-virtualenv -p python3.9 venv-figures  # replace python3.9 with something suitable
-. venv-figures/bin/activate
-pip install -r requirements-figures.txt
-cd $BASEDIR/pymor && pip install -e .
-cd $BASEDIR && ./start_notebook_server.sh
-```
-After opening the printed URL (the one with `127....`) in a browser, run
-- for Figure 1: [`MC_adaptive_model__analysis.md`](notebooks/MC_adaptive_model__analysis.md)
+
+## Downloading data
+
+For the experiments described in Section 4.1, i.e. for the file [`section_4.1_compute_visualize.py`](`section_4.1_compute_visualize.py`), no data is required.
+For the experiments described in the Sections 4.2 and 4.3, a data download is required, for which we make use of code from 
+["bmdal_reg"](https://github.com/dholzmueller/bmdal_reg), see the code within the folder `utils_data`.
+
+
+## Rerunning experiments and reproducing the plots
+
+To rereun the numerical experiments of Section 4.2 and reproduce its plots, execute:
+
+- [`section_4.2_compute.py`](`section_4.2_compute.py`)
+- [`section_4.2_visualize.py`](section_4.2_visualize.py)
+
+To rereun the numerical experiments of Section 4.3 and reproduce its plots, execute:
+
+- [`section_4.3_compute.py`](section_4.3_compute.py)
+- [`section_4.3_visualize.py`](section_4.3_visualize.py)
 
 
 
-To rerun the experiments
-------------------------
 
-Reproducing the experiments is more involved and will not yield data coinciding with the original results (due to different hardware/software setup).
-To setup an evironment for reproducing the experiments, execute:
-```bash
-export BASEDIR=$PWD
-virtualenv -p python3.9 venv-experiments  # replace python3.9 with something suitable
-. venv-experiments/bin/activate
-pip install -r requirements-experiments.txt
-cd $BASEDIR/pymor && pip install -e .
-cd $BASEDIR && ./start_notebook_server.sh
-```
-After opening the printed URL (the one with `127....`) in a browser, run
-- for Figure 1: [`MC_adaptive_model__run.md`](notebooks/MC_adaptive_model__run.md)