On fast computation of finite-time coherent sets using radial basis functions

DOI10.1063/1.4927640zbMath1422.65448arXiv1505.05056OpenAlexW3098237971WikidataQ38384673 ScholiaQ38384673MaRDI QIDQ4591746

Oliver Junge, Gary Froyland

Publication date: 17 November 2017

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

Full work available at URL: https://arxiv.org/abs/1505.05056

Mathematics Subject Classification ID

Numerical nonlinear stabilities in dynamical systems (65P40) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (19)

From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data ⋮ On the numerical approximation of the Perron-Frobenius and Koopman operator ⋮ Sparsity enabled cluster reduced-order models for control ⋮ Detecting Lagrangian coherent structures from sparse and noisy trajectory data ⋮ A geometric heat-flow theory of Lagrangian coherent structures ⋮ Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles ⋮ Performance of Lagrangian descriptors and their variants in incompressible flows ⋮ Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification ⋮ Stochastic Sensitivity: A Computable Lagrangian Uncertainty Measure for Unsteady Flows ⋮ A critical comparison of Lagrangian methods for coherent structure detection ⋮ Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories ⋮ Computing coherent sets using the Fokker-Planck equation ⋮ A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds ⋮ Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories ⋮ Kernel methods for detecting coherent structures in dynamical data ⋮ Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems ⋮ Linear response for the dynamic Laplacian and finite-time coherent sets ⋮ Topology of dynamical reconstructions from Lagrangian data ⋮ Higher-order finite element approximation of the dynamic Laplacian

Uses Software

• Matlab
• ARPACK

Cites Work

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• Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
• Scattered Data Approximation

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