{"title":"Modelling View on Numerical Uncertainty Quantification for Dynamical Systems","authors":"Dirk Langemann , Katja Tüting","doi":"10.1016/j.ifacol.2025.03.055","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 319-324"},"PeriodicalIF":0.0000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC-PapersOnLine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405896325002721","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍:
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