Convergence of weak-SINDy surrogate models

DOI10.1137/22M1526782MaRDI QIDQ6492266

Benjamin P. Russo, M. Paul Laiu

Publication date: 24 April 2024

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

system identificationerror estimatesproper orthogonal decompositionsurrogate modeling

Mathematics Subject Classification ID

Linear inference, regression (62J99) Time series analysis of dynamical systems (37M10) Approximation by polynomials (41A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Cites Work

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• Discovering governing equations from data by sparse identification of nonlinear dynamical systems
• Perturbation of the least squares problem
• Dynamic mode decomposition for continuous time systems with the Liouville operator
• Liouville operators over the Hardy space
• Weak SINDy for partial differential equations
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Formulae for high derivatives of composite functions
• Finite Volume Methods for Hyperbolic Problems
• Reduced Operator Inference for Nonlinear Partial Differential Equations
• Weak SINDy: Galerkin-Based Data-Driven Model Selection
• On the Convergence of the SINDy Algorithm
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• Spectral Methods
• The Elements of Statistical Learning

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