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Title: Data-driven non-Markovian closure models

Journal Article · · Physica. D, Nonlinear Phenomena

Sponsoring Organization:
USDOE
Grant/Contract Number:
DOE-DE-F0A-0000411; 14.Z50.31.0033
OSTI ID:
1197779
Journal Information:
Physica. D, Nonlinear Phenomena, Journal Name: Physica. D, Nonlinear Phenomena Vol. 297 Journal Issue: C; ISSN 0167-2789
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 71 works
Citation information provided by
Web of Science

References (89)

Physics constrained nonlinear regression models for time series journal November 2012
Reduced models of atmospheric low-frequency variability: Parameter estimation and comparative performance journal February 2010
Smooth Anosov flows: Correlation spectra and stability journal January 2007
Multiple Flow Regimes in the Northern Hemisphere Winter. Part I: Methodology and Hemispheric Regimes journal August 1993
Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations journal January 2002
Successive Refinements in Long‐Term Integrations of Planetary Orbits journal July 2003
A comparative study of two stochastic mode reduction methods journal January 2006
Prediction of Niño 3 Sea Surface Temperatures Using Linear Inverse Modeling journal June 1993
Attractors for random dynamical systems journal September 1994
Low‐order stochastic model and “past‐noise forecasting” of the Madden‐Julian Oscillation journal October 2013
Stochastic climate dynamics: Random attractors and time-dependent invariant measures journal October 2011
Experimental forecasts of El Niño journal June 1986
Empirical Mode Reduction in a Model of Extratropical Low-Frequency Variability journal July 2006
Systems of differential equations which are competitive or cooperative: III. Competing species journal February 1988
Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets journal March 1982
El Niño and health journal November 2003
Random attractors for a class of stochastic partial differential equations driven by general additive noise journal August 2011
Fitting SDE models to nonlinear Kac–Zwanzig heat bath models journal December 2004
Multi-level Dynamical Systems: Connecting the Ruelle Response Theory and the Mori-Zwanzig Approach journal March 2013
Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena journal June 1999
Optimal prediction and the Mori-Zwanzig representation of irreversible processes journal March 2000
Strange attractors in volterra equations for species in competition journal June 1982
Rough parameter dependence in climate models and the role of Ruelle-Pollicott resonances journal January 2014
Data-based parameter estimation of generalized multidimensional Langevin processes journal July 2007
Prediction from Partial Data, Renormalization, and Averaging journal April 2006
Global Stability in Ecological Systems with Continuous Time Delay journal July 1978
Deterministic Nonperiodic Flow journal March 1963
Usage of the Mori-Zwanzig method in time series analysis journal January 2008
A mathematical framework for stochastic climate models journal January 2001
On the prediction of ENSO: a study with a low-order Markov model journal January 1994
journal January 2013
Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions journal April 2007
Probing chaos and biodiversity in a simple competition model journal March 2011
Internal Variability of an Energy-Balance Model with Delayed Albedo Effects journal August 1982
On the kinetics of the approach to equilibrium journal July 1961
Skill of Real-Time Seasonal ENSO Model Predictions during 2002–11: Is Our Capability Increasing? journal May 2012
Predictability Associated with Nonlinear Regimes in an Atmospheric Model journal March 2012
Advanced spectral methods for climatic time series journal January 2002
Optimal prediction with memory journal June 2002
A Linear Model of Wintertime Low-Frequency Variability. Part I: Formulation and Forecast Skill journal December 2001
A Continued-Fraction Representation of the Time-Correlation Functions journal September 1965
Graphical models for statistical inference and data assimilation journal June 2007
A Hierarchy of Data-Based ENSO Models journal November 2005
Random attractors--general properties, existence and applications to stochastic bifurcation theory journal January 1998
Applied Koopmanism journal December 2012
Transition networks for modeling the kinetics of conformational change in macromolecules journal April 2008
Markov models of molecular kinetics: Generation and validation journal May 2011
Cluster Analysis of Typhoon Tracks. Part II: Large-Scale Circulation and ENSO journal July 2007
An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models journal January 2014
Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems journal September 1990
Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications journal July 2012
Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere journal May 1985
On the identity of three generalized master equations journal June 1964
Extracting macroscopic dynamics: model problems and algorithms journal August 2004
Asymptotic stability in viscoelasticity journal January 1970
Civil conflicts are associated with the global climate journal August 2011
Fractional Kinetics in Kac–Zwanzig Heat Bath Models journal January 2004
Multilayer feedforward networks are universal approximators journal January 1989
Low-order stellar dynamo models: Low-order stellar dynamo models journal September 2005
Signatures of Nonlinear Dynamics in an Idealized Atmospheric Model journal January 2011
Identification of MIMO non-linear systems using a forward-regression orthogonal estimator journal June 1989
Chaos in abstract kinetics: Two prototypes journal March 1977
On Quantum Theory of Transport Phenomena: Steady Diffusion journal December 1958
Problem reduction, renormalization, and memory journal January 2006
Ensemble Method in the Theory of Irreversibility journal November 1960
Chaos in low-dimensional Lotka–Volterra models of competition journal September 2006
On the differential equations of species in competition journal January 1976
Predicting stochastic systems by noise sampling, and application to the El Nino-Southern Oscillation journal July 2011
On chaos in Lotka–Volterra systems: an analytical approach journal July 2013
The Optimal Growth of Tropical Sea Surface Temperature Anomalies journal August 1995
Extracting qualitative dynamics from experimental data journal June 1986
On modelling physical systems with stochastic models: diffusion versus Lévy processes
  • Penland, Cécile; Ewald, Brian D.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1875 https://doi.org/10.1098/rsta.2008.0051
journal May 2008
The Origin of Nonlinear Signatures of Planetary Wave Dynamics: Mean Phase Space Tendencies and Contributions from Non-Gaussianity journal November 2007
Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space journal March 1992
Strategies for Model Reduction: Comparing Different Optimal Bases journal September 2004
Transport, Collective Motion, and Brownian Motion journal March 1965
Multiresolution Markov models for signal and image processing journal August 2002
Reduced Atmospheric Models Using Dynamically Motivated Basis Functions journal October 2007
The reduction of complex dynamical systems using principal interaction patterns journal April 1996
Sparse model from optimal nonuniform embedding of time series journal April 2014
Large deviations analysis of reflected diffusions and constrained stochastic approximation algorithms in convex sets journal May 1987
A new algorithm for linear and nonlinear ARMA model parameter estimation using affine geometry [and application to blood flow/pressure data] journal October 2001
The Quasi-Steady-State Assumption: A Case Study in Perturbation journal September 1989
Multiple Flow Regimes in the Northern Hemisphere Winter. Part II: Sectorial Regimes and Preferred Transitions journal August 1993
Global and Regional Scale Precipitation Patterns Associated with the El Niño/Southern Oscillation journal August 1987
A note on diffusion limits of chaotic skew-product flows journal March 2011
Ergodic theory of chaos and strange attractors journal July 1985
Reduction of a Model Describing Ozone Oscillations in the Troposphere: Example of an Algorithmic Approach to Model Reduction in Atmospheric Chemistry journal May 2001
A review on estimation of stochastic differential equations for pharmacokinetic/pharmacodynamic models journal June 2013

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