This code implements the operator regression technique discussed in [1,2]. morp.pycontains a collection of parameterized operators. heat.ipynb is an example script that learns the heat equation from its analytical solution.
Python >= 3.5
numpy
scipy
matplotlib
toolz
tensorflow >= 2.3.1
SAND No: SAND2020-10973 O
[1] R. G. Patel and Olivier Desjardins. Nonlinear integro-differential operator regression with neural networks. arXiv preprint arXiv:1810.08552, 2018.
[2] R. G. Patel, N. A. Trask, M. A. Wood, and E. C. Cyr. A physics-informed operator regression framework for extracting data-driven continuum models. arXiv preprint arXiv:2009.11992, 2020.