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5 papers · 1 filter
Recent Trends on Nonlinear Filtering for Inverse Problems
Michael Herty, Elisa Iacomini, Giuseppe Visconti
Among the class of nonlinear particle filtering methods, the Ensemble Kalman Filter (EnKF) has gained recent attention for its use in solving inverse problems. We review the origin…
Filtering methods for coupled inverse problems
Michael Herty, Elisa Iacomini
We are interested in ensemble methods to solve multi-objective optimization problems. An ensemble Kalman method is proposed to solve a formulation of the nonlinear problem using a…
Uncertainty Quantification in Hierarchical Vehicular Flow Models
Michael Herty, Elisa Iacomini
We consider kinetic vehicular traffic flow models of BGK type. Considering different spatial and temporal scales, those models allow to derive a hierarchy of traffic models includi…
Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation
Stephan Gerster, Michael Herty, Elisa Iacomini
We investigate the propagation of uncertainties in the Aw-Rascle-Zhang model, which belongs to a class of second order traffic flow models described by a system of nonlinear hyperb…
Properties of the LWR model with time delay
Simone Göttlich, Elisa Iacomini, Thomas Jung
In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results…