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Model reduction of Brownian oscillators: Quantification of errors and long-time behaviour
University of L'Aquila, Italy.ORCID iD: 0000-0002-7424-7888
University of Birmingham, United Kingdom.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). Karlstad University, Faculty of Arts and Social Sciences (starting 2013), Center for Societal Risk Research, CSR (from 2020).ORCID iD: 0000-0002-1160-0007
2023 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 56, article id 345003Article in journal (Refereed) Published
Abstract [en]

A procedure for model reduction of stochastic ordinary differential equations with additive noise was recently introduced in Colangeli et al (2022 J. Phys. A: Math. Theor.55 505002), based on the Invariant Manifold method and on the Fluctuation–Dissipation relation. A general question thus arises as to whether one can rigorously quantify the error entailed by the use of the reduced dynamics in place of the original one. In this work we provide explicit formulae and estimates of the error in terms of the Wasserstein distance, both in the presence or in the absence of a sharp time-scale separation between the variables to be retained or eliminated from the description, as well as in the long-time behavior.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2023. Vol. 56, article id 345003
Keywords [en]
model reduction, Wasserstein distance, error estimates, coupled Brownian oscillators, invariant manifold, Fluctuation–Dissipation relation
National Category
Computational Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-96133DOI: 10.1088/1751-8121/ace948ISI: 001040008500001Scopus ID: 2-s2.0-85167882122OAI: oai:DiVA.org:kau-96133DiVA, id: diva2:1783413
Available from: 2023-07-20 Created: 2023-07-20 Last updated: 2023-08-29Bibliographically approved

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Muntean, Adrian

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