adjusted README.md

README.md

@@ -12,14 +12,53 @@ The preprint has been submitted to the ACOM topical article collection.
 
 ## Installation
 
-The code has been tested with MATLAB R2024b. No particular installation steps are required.
-Just pull the repository, start matlab and change to the directory of the repository.
+The code has been tested with MATLAB and the following toolboxes.
+under the following version: 
+
+MATLAB Version: 24.2.0.2863752 (R2024b) Update 5
+-----------------------------------------------------------------------------------------------------
+MATLAB                                                Version 24.2        (R2024b)
+Control System Toolbox                                Version 24.2        (R2024b)
+Deep Learning Toolbox                                 Version 24.2        (R2024b)
+Image Processing Toolbox                              Version 24.2        (R2024b)
+Optimization Toolbox                                  Version 24.2        (R2024b)
+Partial Differential Equation Toolbox                 Version 24.2        (R2024b)
+Robust Control Toolbox                                Version 24.2        (R2024b)
+Statistics and Machine Learning Toolbox               Version 24.2        (R2024b)
+Symbolic Math Toolbox                                 Version 24.2        (R2024b)
+
+So make sure to have a MATLAB environment of at least these versions and with those
+toolboxes.
+
+If you are only interested in reproducing the plots, no further installation steps
+are required, Just pull the repository to some local directory.
+
+If you also want to reproduce the comparison to FEM solution, the
+package RBmatlab is required.
+This is available at www.morepas.org/software/rbmatlab
+in version release_1_16_09
+
+Follow the download and installation steps of that package, especially
+adjusting your MATLAB startup file startup.m 
+to include some paths. 
+
+Further no particular installation steps are required.
 
 ## Usage
 
-Detailed instructions for preproducing the results will be provided:
+Start MATLAB, change to the directory of this repository and
+execute the single file mu_PDE_greedy_examples.m and follow the instructions given
+in the MATLAB console for stepping through the single sections.
 
-...to be added...
+This will generate all plots of the paper as PNG files and generate the table 1 as
+output in the MATLAB console.
+
+Caution, due to the parameter selection and training of multiple models, the compuation
+time can be long, e.g. 1 hour for the high-dimensional example, or 3 hours for
+generating the complete table. 
+
+More refined usage, i.e. executing single steps, etc. is explained in
+the header of the mu_PDE_greedy_examples.m file.
 
 ## Support
 
@@ -32,4 +71,4 @@ current repository.
 
 ## Project status
 
-...to be added...
+Initial version
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