/Sparse-System-Identification

This work presents the application of machine learning models in order to obtain a sparse governing equation of complex fluid dynamics problems.

Primary LanguageMATLAB

System-Identification

  1. The "sparse dynamics" directory is the original code, also available at https://www.pnas.org/content/113/15/3932 Sparse Identification of Nonlinear Dynamics (SINDY) Copyright 2015, All Rights Reserved Code by Steven L. Brunton (sbrunton@uw.edu) For Paper, "Discovering Governing Equations from Data by Sparse Identification of Nonlinear Dynamical Systems" Proceedings of the National Academy of Sciences Vol. 113, No. 15, pp. 3932—3937, 2016. by S. L. Brunton, J. L. Proctor, and J. N. Kutz

  2. "Python code" directory contains the translated code from MATLAB. These codes worked well except for the adjustments that were made to entertain numpy 1D-array (for 1D problem) in a function that accepts a numpy matrix/ 2D array (for 2D or 3D problem)

  3. "Improved" directory contains an improved version of the Python code The common function to entertain both 1D and 2D numpy array were seperated to make the code more stable and reliable.