Reproduce results in the statKdV paper

This repo contains the code to reproduce the analysis in the statKdV paper.

Code is given to run the statistical finite element method on simulated data and on experimental data. Simulated data is generated with dedalus and experimental data is located in the data/ directory. Code is also given to run the Burgers and KS examples with fenics.

To run this code you will need

• statkdv (included: pip install -e statkdv)
• statfenics (included: pip install -e statfenics)
• fenics
• dedalus
• numpy
• scipy
• matplotlib
• pandas
• h5py
• mpi4py
• sympy

Details for the installation of fenics and dedalus can be found on their respective websites.

In order for compute times to be a shorter, some of the resolutions aren't as high as in the paper. Editing the appropriate files in inputs/ should hopefully set these up appropriately.

Any bugs/questions/comments, please don't hesitate to email me at connor.duffin@research.uwa.edu.au