## Uncertainty Propagation in Nonlinear Systems
## Mars entry-descent-landingShown above are landing ellipses for all past Mars missions, plotted with same center and same inclination, for comaprison purposes. The axes are in Km, showing that historically, the landing footprint uncertainty has been rather large. Computational analysis of landing footprints are usually done using resource-expensive Monte Carlo simulations. We showed that the method-of-characteristics based solution of Liouville equation, is a tractable and accurate alternative to Monte Carlo. Shown below are the time evolution of latitude-longitude bivariate marginals, using same number of samples for Monte Carlo ( ## Transfer Operator Methods for Nonlinear EstimationThe block diagram on |