Modelling View on Numerical Uncertainty Quantification for Dynamical Systems
Year: 2025
Type: article
Abstract: We present a modelling view on the numerical quantification of uncertainties in the solution of a dynamical system, which mostly consists in using a linearized update procedure for the covariance matrix. We regard the Fokker-Planck equation for the probability density of the states of the dynamical system as ground truth and the numerical method as surrogate model. We give an error estimate and show the connection to the numerical solution of ordinary differential equations. Finally, uncertainty quantification is interpreted as measurement.
Source: IFAC-PapersOnLine
Authors: Dirk Langemann, Katja Tüting
Institution: Technische Universität Braunschweig
Language: English
Subfield: Statistics, Probability and Uncertainty
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W4408886180