Filtering a statistically exactly solvable test model for turbulent tracers from partial observations

DOI10.1016/j.jcp.2010.11.024zbMath1391.76179OpenAlexW2084615268MaRDI QIDQ630401

Boris Gershgorin, Andrew J. Majda

Publication date: 17 March 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.024

zbMATH Keywords

exactly solvable modelnonlinear Kalman filterdata assimilationturbulent advection-diffusion equation

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55)

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Cites Work

• Unnamed Item
• Mathematical strategies for filtering complex systems: Regularly spaced sparse observations
• A nonlinear test model for filtering slow-fast systems
• Mathematical strategies for filtering turbulent dynamical systems
• Filtering a nonlinear slow-fast system with strong fast forcing
• Test models for improving filtering with model errors through stochastic parameter estimation
• Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation
• A test model for fluctuation-dissipation theorems with time-periodic statistics
• Mathematical test criteria for filtering complex systems: Plentiful observations
• Stochastic processes and filtering theory
• Explicit off-line criteria for stable accurate time filtering of strongly unstable spatially extended systems
• Elementary models with probability distribution function intermittency for passive scalars with a mean gradient
• Stochastic Liouville Equations
• Information Theory and Stochastics for Multiscale Nonlinear Systems
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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