Numerical Integration of Chaotic Dynamics: Uncertainty Propagation & Vectorized Integration

This video introduces the idea of chaos, or sensitive dependence on initial conditions, and the importance of integrating a bundle of trajectories to propagate uncertainty. We also explore how to vectorize numerical integration in Python and Matlab to make the algorithm orders of magnitude more efficient. Playlist:    • Engineering Math: Differential Equations a...   Course Website: http://faculty.washington.edu/sbrunto... @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Propagating uncertainty with bundle of trajectory 6:30 Slow Matlab code example 11:06 Fast Matlab code example 17:09 Python code example