Non-Gaussian test models for prediction and state estimation with model errors
type: Item
instance of: scholarly article
title: Non-Gaussian test models for prediction and state estimation with model errors
zbMATH Open document ID: 1316.60055
author: Michal Branicki
author: Nan Chen
author: Andrew J. Majda
published in: Chinese Annals of Mathematics. Series B
publication date: 2013-03-15T00:00:00Z
Mathematics Subject Classification ID: 60G25
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 62M20
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 94A15
zbMATH DE Number: 6145292
zbMATH Keywords: prediction
zbMATH Keywords: model error
zbMATH Keywords: information theory
zbMATH Keywords: Feynman-Kac framework
zbMATH Keywords: Fokker-Planck equations
zbMATH Keywords: turbulent dynamical systems
MaRDI profile type: Publication
full work available at URL: s11401-012-0759-3
OpenAlex ID: W2109982797
cites work: Q3997913
cites work: An elementary model for the validation of flamelet approximations in non-premixed turbulent combustion
cites work: Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters
cites work: Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities
cites work: Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency
cites work: Elements of Information Theory
cites work: Stochastic methods. A handbook for the natural and social sciences
cites work: Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation
cites work: Test models for improving filtering with model errors through stochastic parameter estimation
cites work: A test model for fluctuation-dissipation theorems with time-periodic statistics
cites work: A nonlinear test model for filtering slow-fast systems
cites work: Filtering a nonlinear slow-fast system with strong fast forcing
cites work: Filtering a statistically exactly solvable test model for turbulent tracers from partial observations
cites work: Random evolutions: A survey of results and problems
cites work: Q4717947
cites work: Information theory and dynamical system predictability
cites work: Q3998930
cites work: Q4522393
cites work: Challenges in climate science and contemporary applied mathematics
cites work: High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability
cites work: Information Theory and Stochastics for Multiscale Nonlinear Systems
cites work: Lessons in uncertainty quantification for turbulent dynamical systems
cites work: Normal forms for reduced stochastic climate models
cites work: Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model
cites work: Improving model fidelity and sensitivity for complex systems through empirical information theory
cites work: Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error
cites work: A mathematical framework for quantifying predictability through relative entropy
cites work: Q5470256
cites work: Filtering Complex Turbulent Systems
cites work: Mathematical strategies for filtering turbulent dynamical systems
cites work: The Fokker-Planck equation. Methods of solution and applications.
DOI: 10.1007/S11401-012-0759-3
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description: scientific article; zbMATH DE number 6145292