Spatiotemporal system identification on nonperiodic domains using Chebyshev spectral operators and system reduction algorithms

DOI10.1063/1.3180843zbMath1317.93076OpenAlexW2030779617WikidataQ43269173 ScholiaQ43269173MaRDI QIDQ5264296

Omid Khanmohamadi, Daolin Xu

Publication date: 27 July 2015

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

Full work available at URL: https://semanticscholar.org/paper/e0dc6eab10bc4f6e8a54a5871809fb2b18b9f962

Mathematics Subject Classification ID

System identification (93B30)

Related Items (2)

Direct estimation of parameters in ODE models using WENDy: weak-form estimation of nonlinear dynamics ⋮ Robust and optimal sparse regression for nonlinear PDE models

Cites Work

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• On the relation between continuous and discrete nonlinear parametric models
• Exponential time differencing for stiff systems
• On the errors incurred calculating derivatives using Chebyshev polynomials
• Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media
• Parametric, nonparametric and parametric modelling of a chaotic circuit time series
• Fitting parameters in partial differential equations from partially observed noisy data
• Nonlinear black-box modeling in system identification: A unified overview
• An approach of parameter estimation for non-synchronous systems
• Numerical methods for solving linear least squares problems
• Spectral Methods for Time-Dependent Problems
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• Modeling global vector fields of chaotic systems from noisy time series with the aid of structure-selection techniques
• Orthogonal least squares methods and their application to non-linear system identification
• Generation of Pseudospectral Differentiation Matrices I
• Spectral Methods in MATLAB
• Front Propagation in Heterogeneous Media
• PARAMETER IDENTIFICATION TECHNIQUES FOR PARTIAL DIFFERENTIAL EQUATIONS
• A Practical Guide to Pseudospectral Methods
• Spatiotemporal system reconstruction using Fourier spectral operators and structure selection techniques
• Fourth-Order Time-Stepping for Stiff PDEs

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