http://www.mrzv.org/software/dionysus/ (TDA: persistent homology), https://arxiv.org/pdf/1506.08903v4.pdf, http://people.maths.ox.ac.uk/nanda/perseus/index.html, https://github.com/appliedtopology/javaplex,
It is quite complete, but it is meant for especialists. We are aiming at a lower levle user with far less knowledge about the internals. We will probably write an interface to pyMOR, aimed at making it more accesible...
GNU Octave / Matlab
- Model Order redcution toolbox