Data-driven model reduction and transfer operator approximation

DOI10.1007/s00332-017-9437-7zbMath1396.37083arXiv1703.10112OpenAlexW3099205493MaRDI QIDQ722011

Hao Wu, Feliks Nüske, Christof Schütte, Frank Noé, Péter Koltai, Stefan Klus, Ioannis G. Kevrekidis

Publication date: 20 July 2018

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10112

zbMATH Keywords

Perron-Frobenius operator model reduction Koopman operator data-driven method

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Theory of data (68P99) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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