Fluctuation–Dissipation Supplemented by Nonlinearity: A Climate-Dependent Subgrid-Scale Parameterization in Low-Order Climate Models
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journal
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May 2013 |
Hasselmann’s program revisited: the analysis of stochasticity in deterministic climate models
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book
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January 2001 |
Stochastic atmospheric perturbations in the EC-Earth3 global coupled model: impact of SPPT on seasonal forecast quality
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journal
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March 2015 |
The quiet revolution of numerical weather prediction
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journal
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September 2015 |
Effects of fluctuating daily surface fluxes on the time-mean oceanic circulation
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journal
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April 2009 |
Impact of a stochastic parametrization of cumulus convection, using cellular automata, in a mesoscale ensemble prediction system: Cumulus Convection in HarmonEPS
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journal
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January 2016 |
A stochastic parametrization for deep convection using cellular automata
- Bengtsson, Lisa; Steinheimer, Martin; Bechtold, Peter
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Quarterly Journal of the Royal Meteorological Society, Vol. 139, Issue 675
https://doi.org/10.1002/qj.2108
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journal
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January 2013 |
Linking Nonlinearity and Non-Gaussianity of Planetary Wave Behavior by the Fokker–Planck Equation
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journal
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July 2005 |
Impact of a quasi-stochastic cellular automaton backscatter scheme on the systematic error and seasonal prediction skill of a global climate model
- Berner, J.; Doblas-Reyes, F. J.; Palmer, T. N.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1875
https://doi.org/10.1098/rsta.2008.0033
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journal
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April 2008 |
A Spectral Stochastic Kinetic Energy Backscatter Scheme and Its Impact on Flow-Dependent Predictability in the ECMWF Ensemble Prediction System
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journal
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March 2009 |
Model Uncertainty in a Mesoscale Ensemble Prediction System: Stochastic versus Multiphysics Representations
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journal
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June 2011 |
Systematic Model Error: The Impact of Increased Horizontal Resolution versus Improved Stochastic and Deterministic Parameterizations
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journal
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July 2012 |
Increasing the Skill of Probabilistic Forecasts: Understanding Performance Improvements from Model-Error Representations
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journal
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April 2015 |
The MOGREPS short-range ensemble prediction system
- Bowler, Neill E.; Arribas, Alberto; Mylne, Kenneth R.
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Quarterly Journal of the Royal Meteorological Society, Vol. 134, Issue 632
https://doi.org/10.1002/qj.234
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journal
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January 2008 |
The local ETKF and SKEB: Upgrades to the MOGREPS short-range ensemble prediction system
- Bowler, Neill E.; Arribas, Alberto; Beare, Sarah E.
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Quarterly Journal of the Royal Meteorological Society, Vol. 135, Issue 640
https://doi.org/10.1002/qj.394
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journal
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April 2009 |
Stochastic representation of model uncertainties in the ECMWF ensemble prediction system
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journal
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October 1999 |
Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
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book
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January 2015 |
Simulating weather regimes: impact of stochastic and perturbed parameter schemes in a simple atmospheric model
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journal
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July 2014 |
Stochastic and Perturbed Parameter Representations of Model Uncertainty in Convection Parameterization
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journal
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June 2015 |
Stochastic Parameterization and El Niño–Southern Oscillation
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journal
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January 2017 |
Elements of a unified framework for response formulae
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January 2014 |
A meaningful expansion around detailed balance
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journal
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February 2011 |
Fluctuation-dissipation relation for chaotic non-Hamiltonian systems
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April 2012 |
Focus on some nonequilibrium issues
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July 2014 |
Fluctuations in an Equilibrium Convective Ensemble. Part I: Theoretical Formulation
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journal
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August 2006 |
Simulating weather regimes: impact of model resolution and stochastic parameterization
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journal
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July 2014 |
Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise
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journal
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June 2012 |
Fluctuation-dissipation theorems for classical processes
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June 1975 |
A parameterization of gravity waves emitted by fronts and jets
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journal
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March 2015 |
Intermittency in a stochastic parameterization of nonorographic gravity waves
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journal
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November 2014 |
Addressing model uncertainty in seasonal and annual dynamical ensemble forecasts: MODEL UNCERTAINTY IN ENSEMBLE CLIMATE FORECASTS
- Doblas-Reyes, F. J.; Weisheimer, A.; Déqué, M.
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Quarterly Journal of the Royal Meteorological Society, Vol. 135, Issue 643
https://doi.org/10.1002/qj.464
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journal
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July 2009 |
Stochastic closure for local averages in the finite-difference discretization of the forced Burgers equation
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May 2012 |
Subgrid-scale closure for the inviscid Burgers-Hopf equation
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journal
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January 2013 |
A data-driven multi-cloud model for stochastic parametrization of deep convection
- Dorrestijn, J.; Crommelin, D. T.; Biello, J. A.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 1991
https://doi.org/10.1098/rsta.2012.0374
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journal
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May 2013 |
Stochastic parameterization of shallow cumulus convection estimated from high-resolution model data
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journal
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September 2012 |
Stochastic Parameterization of Convective Area Fractions with a Multicloud Model Inferred from Observational Data
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journal
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February 2015 |
Statistics of normal mode amplitudes in a random ocean. I. Theory
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journal
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February 1978 |
Statistics of normal mode amplitudes in a random ocean. II. Computations
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journal
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August 1978 |
Stochastic Solutions of the Two-Dimensional Primitive Equations of the Ocean and Atmosphere with an Additive Noise
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journal
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April 2007 |
Predictability of extreme events in a nonlinear stochastic-dynamical model
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journal
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March 2012 |
Low-Order Stochastic Mode Reduction for a Prototype Atmospheric GCM
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journal
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February 2006 |
Low-Order Stochastic Mode Reduction for a Realistic Barotropic Model Climate
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journal
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June 2005 |
Stochastic climate theory and modeling
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journal
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October 2014 |
Self-Energy Closure for Inhomogeneous Turbulent Flows and Subgrid Modeling
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journal
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April 2012 |
Statistical Dynamical Closures and Subgrid Modeling for Inhomogeneous QG and 3D Turbulence
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journal
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January 2012 |
Dynamical Subgrid-Scale Parameterizations from Direct Numerical Simulations
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journal
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November 2006 |
The effects of closure-based eddy diffusion on the climate and spectra of a GCM
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journal
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January 2003 |
Using the Stochastic Multicloud Model to Improve Tropical Convective Parameterization: A Paradigm Example
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journal
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March 2012 |
Stable CLTs and Rates for Power Variation of α-Stable Lévy Processes
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journal
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October 2013 |
An integrated package for subgrid convection, clouds and precipitation compatible with meso-gamma scales
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journal
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January 2007 |
The stochastic primitive equations in two space dimensions with multiplicative noise
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journal
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January 2008 |
Pathwise Solutions of the 2-D Stochastic Primitive Equations
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journal
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December 2010 |
A data-driven method for the stochastic parametrisation of subgrid-scale tropical convective area fraction: Data-Driven Stochastic Subgrid-Scale Parameterisation for Tropical Convection
- Gottwald, Georg A.; Peters, Karsten; Davies, Laura
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Quarterly Journal of the Royal Meteorological Society, Vol. 142, Issue 694
https://doi.org/10.1002/qj.2655
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journal
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October 2015 |
Climate Response of Linear and Quadratic Functionals Using the Fluctuation–Dissipation Theorem
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journal
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September 2008 |
A Comparison of Model Error Representations in Mesoscale Ensemble Data Assimilation
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journal
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October 2015 |
Linear and non-linear response to parameter variations in a mesoscale model
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journal
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January 2011 |
Stochastic climate models Part I. Theory
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journal
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December 1976 |
The Influence of Boundary Layer Processes on the Diurnal Variation of the Climatological Near-Surface Wind Speed Probability Distribution over Land*
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journal
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May 2012 |
Limit Theorems for p-Variations of Solutions of SDEs Driven by Additive Stable Lévy Noise and Model Selection for Paleo-Climatic Data
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book
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February 2010 |
Model Error Representation in an Operational Ensemble Kalman Filter
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journal
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July 2009 |
MJO and Convectively Coupled Equatorial Waves Simulated by CMIP5 Climate Models
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journal
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September 2013 |
Going back to basics
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journal
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November 2014 |
Ensemble prediction and parameter estimation system: the concept
- Järvinen, Heikki; Laine, Marko; Solonen, Antti
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Quarterly Journal of the Royal Meteorological Society, Vol. 138, Issue 663
https://doi.org/10.1002/qj.923
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journal
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September 2011 |
The Numerical Approximation of Stochastic Partial Differential Equations
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journal
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September 2009 |
Influence of a stochastic parameterization on the frequency of occurrence of North Pacific weather regimes in the ECMWF model
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journal
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January 2005 |
Influence of stochastic sea ice parametrization on climate and the role of atmosphere–sea ice–ocean interaction
- Juricke, Stephan; Jung, Thomas
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2018
https://doi.org/10.1098/rsta.2013.0283
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journal
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June 2014 |
Effects of Stochastic Ice Strength Perturbation on Arctic Finite Element Sea Ice Modeling
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journal
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May 2013 |
Potential sea ice predictability and the role of stochastic sea ice strength perturbations
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journal
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December 2014 |
A Limit Theorem for the Solutions of Differential Equations with Random Right-Hand Sides
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journal
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January 1966 |
A stochastic multicloud model for tropical convection
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journal
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January 2010 |
Subgrid Model with Scaling Laws for Atmospheric Simulations
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journal
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March 2012 |
Scaling laws for parameterisations of subgrid eddy–eddy interactions in simulations of oceanic circulations
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journal
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August 2013 |
Scaling laws for parametrizations of subgrid interactions in simulations of oceanic circulations
- Kitsios, V.; Frederiksen, J. S.; Zidikheri, M. J.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2018
https://doi.org/10.1098/rsta.2013.0285
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journal
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June 2014 |
The Systematic Derivation of Higher Order Numerical Schemes for Stochastic Differential Equations
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journal
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September 2002 |
The structure of isotropic turbulence at very high Reynolds numbers
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journal
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May 1959 |
The fluctuation-dissipation theorem
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journal
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January 1966 |
A limit theorem for perturbed operator semigroups with applications to random evolutions
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journal
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January 1973 |
Fluctuation-Response Relation and modeling in systems with fast and slow dynamics
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journal
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January 2007 |
Stochastic Parameterization to Represent Variability and Extremes in Climate Modeling
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journal
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January 2014 |
On the Fluctuating Buoyancy Fluxes Simulated in a OGCM
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journal
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July 2013 |
The Double-ITCZ Problem in IPCC AR4 Coupled GCMs: Ocean–Atmosphere Feedback Analysis
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journal
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September 2007 |
A stochastic parameterization of the gravity waves due to convection and its impact on the equatorial stratosphere: STOCHASTIC GWS DUE TO CONVECTION AND QBO
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journal
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August 2013 |
A stochastic parameterization of non-orographic gravity waves: Formalism and impact on the equatorial stratosphere: STOCHASTIC GRAVITY WAVES AND QBO
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journal
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March 2012 |
Stochastic Perturbations to Dynamical Systems: A Response Theory Approach
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journal
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January 2012 |
A statistical mechanical approach for the computation of the climatic response to general forcings
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journal
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January 2011 |
Beyond the linear fluctuation-dissipation theorem: the role of causality
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journal
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May 2012 |
Towards a General Theory of Extremes for Observables of Chaotic Dynamical Systems
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journal
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January 2014 |
Improved seasonal prediction of the hot summer of 2003 over Europe through better representation of uncertainty in the land surface
- MacLeod, David A.; Cloke, Hannah L.; Pappenberger, Florian
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Quarterly Journal of the Royal Meteorological Society, Vol. 142, Issue 694
https://doi.org/10.1002/qj.2631
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journal
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September 2015 |
Models for stochastic climate prediction
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journal
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December 1999 |
A mathematical framework for stochastic climate models
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journal
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January 2001 |
An applied mathematics perspective on stochastic modelling for climate
- Majda, Andrew J.; Franzke, Christian; Khouider, Boualem
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1875
https://doi.org/10.1098/rsta.2008.0012
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journal
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April 2008 |
Normal forms for reduced stochastic climate models
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journal
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February 2009 |
Fluctuation–dissipation: Response theory in statistical physics
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journal
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June 2008 |
Stochastic backscatter in large-eddy simulations of boundary layers
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journal
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September 1992 |
Numerical Integration of Stochastic Differential Equations
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book
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January 1995 |
Data Assimilation in Slow–Fast Systems Using Homogenized Climate Models
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journal
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March 2012 |
Stochastic Averaging of Idealized Climate Models
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journal
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June 2011 |
Quantification of modelling uncertainties in a large ensemble of climate change simulations
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journal
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August 2004 |
Statistical dynamical subgrid-scale parameterizations for geophysical flows
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journal
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October 2008 |
Application of statistical dynamical turbulence closures to data assimilation
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journal
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December 2010 |
NWP model forecast skill optimization via closure parameter variations
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journal
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November 2012 |
A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamic parametrization in weather and climate prediction models
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journal
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January 2001 |
Towards the probabilistic Earth-system simulator: a vision for the future of climate and weather prediction
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journal
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April 2012 |
Introduction. Stochastic physics and climate modelling
- Palmer, T. N.; Williams, P. D.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1875
https://doi.org/10.1098/rsta.2008.0059
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journal
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April 2008 |
Diagnosing the causes of bias in climate models – why is it so hard?
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journal
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April 2011 |
Asymptotic theory of mixing stochastic ordinary differential equations
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journal
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September 1974 |
Multiscale Methods
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book
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January 2008 |
Noise Out of Chaos and Why it Won't Go Away
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journal
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July 2003 |
A Stochastic Approach to Nonlinear Dynamics: A Review (extended version of the article - "Noise Out of Chaos and Why it Won't Go Away")
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journal
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July 2003 |
On modelling physical systems with stochastic models: diffusion versus Lévy processes
- Penland, Cécile; Ewald, Brian D.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1875
https://doi.org/10.1098/rsta.2008.0051
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journal
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May 2008 |
Alternative interpretations of power-law distributions found in nature
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journal
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June 2012 |
Stochastic Behavior of Tropical Convection in Observations and a Multicloud Model
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journal
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November 2013 |
A Stochastic Parameterization for Deep Convection Based on Equilibrium Statistics
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journal
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January 2008 |
A new framework for climate sensitivity and prediction: a modelling perspective
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journal
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May 2015 |
Examination of parameter variations in the U. S. Navy Global Ensemble
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journal
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January 2011 |
Representing Forecast Error in a Convection-Permitting Ensemble System
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journal
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December 2014 |
A review of linear response theory for general differentiable dynamical systems
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journal
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March 2009 |
Numerical Treatment of Stochastic Differential Equations
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journal
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June 1982 |
Fluctuations in a quasi-stationary shallow cumulus cloud ensemble
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journal
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January 2015 |
Improved stochastic physics schemes for global weather and climate models: Improved Stochastic Physics Schemes
- Sanchez, Claudio; Williams, Keith D.; Collins, Matthew
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Quarterly Journal of the Royal Meteorological Society, Vol. 142, Issue 694
https://doi.org/10.1002/qj.2640
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journal
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September 2015 |
Reconciling Non-Gaussian Climate Statistics with Linear Dynamics
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journal
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March 2009 |
Understanding the distinctively skewed and heavy tailed character of atmospheric and oceanic probability distributions
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journal
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March 2015 |
Rossby waves in a stochastically fluctuating medium
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book
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January 2001 |
Need for Caution in Interpreting Extreme Weather Statistics
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journal
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December 2015 |
Impact of atmospheric small-scale fluctuations on climate sensitivity: IMPACT OF SMALL-SCALE FLUCTUATIONS
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journal
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May 2008 |
A Stochastic Analysis of the Impact of Small-Scale Fluctuations on the Tropospheric Temperature Response to CO2 Doubling
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journal
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May 2010 |
A kinetic energy backscatter algorithm for use in ensemble prediction systems
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journal
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October 2005 |
Coarse Graining the Vorticity Equation in the ECMWF Integrated Forecasting System: The Search for Kinetic Energy Backscatter
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journal
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April 2013 |
A stochastic convective backscatter scheme for use in ensemble prediction systems: Convective Backscatter
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journal
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April 2015 |
Convective Forcing Fluctuations in a Cloud-Resolving Model: Relevance to the Stochastic Parameterization Problem
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journal
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January 2007 |
Assessing parametrization uncertainty associated with horizontal resolution in numerical weather prediction models
- Shutts, Glenn; Pallarès, Alfons Callado
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2018
https://doi.org/10.1098/rsta.2013.0284
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journal
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June 2014 |
What Are Climate Models Missing?
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journal
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May 2013 |
A New Representation for Stochastic Integrals and Equations
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journal
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May 1966 |
A general perspective of extreme events in weather and climate
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journal
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July 2011 |
Multiplicative Noise and Non-Gaussianity: A Paradigm for Atmospheric Regimes?
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journal
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May 2005 |
A Unified Model for Moist Convective Boundary Layers Based on a Stochastic Eddy-Diffusivity/Mass-Flux Parameterization
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journal
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July 2013 |
Implementation of a Stochastic Eddy-Diffusivity/Mass-Flux Parameterization into the Navy Global Environmental Model
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journal
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December 2014 |
Temperature Extremes in the Community Atmosphere Model with Stochastic Parameterizations*
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journal
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December 2015 |
Using a Stochastic Kinetic Energy Backscatter Scheme to Improve MOGREPS Probabilistic Forecast Skill
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journal
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April 2011 |
Stochastic Averaging of Dynamical Systems with Multiple Time Scales Forced with $\alpha$-Stable Noise
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journal
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January 2015 |
A stochastic convective approach to account for model uncertainty due to unresolved humidity variability
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journal
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January 2008 |
Does the ECMWF IFS Convection Parameterization with Stochastic Physics Correctly Reproduce Relationships between Convection and the Large-Scale State?
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journal
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January 2015 |
Addressing model error through atmospheric stochastic physical parametrizations: impact on the coupled ECMWF seasonal forecasting system
- Weisheimer, Antje; Corti, Susanna; Palmer, Tim
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2018
https://doi.org/10.1098/rsta.2013.0290
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journal
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June 2014 |
Evaluating Methods to Account for System Errors in Ensemble Data Assimilation
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journal
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September 2012 |
Climatic impacts of stochastic fluctuations in air-sea fluxes: FLUCTUATIONS IN AIR-SEA FLUXES
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journal
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May 2012 |
Spontaneous generation and impact of inertia-gravity waves in a stratified, two-layer shear flow: GENERATION AND IMPACT OF GRAVITY WAVES
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journal
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December 2003 |
Stochastic resonance in a nonlinear model of a rotating, stratified shear flow, with a simple stochastic inertia-gravity wave parameterization
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journal
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January 2004 |
Mathematics applied to the climate system: outstanding challenges and recent progress
- Williams, Paul D.; Cullen, Michael J. P.; Davey, Michael K.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 1991
https://doi.org/10.1098/rsta.2012.0518
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journal
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May 2013 |
On the Convergence of Ordinary Integrals to Stochastic Integrals
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journal
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October 1965 |
Disentangling multi-level systems: averaging, correlations and memory
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journal
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March 2012 |
Multi-level Dynamical Systems: Connecting the Ruelle Response Theory and the Mori-Zwanzig Approach
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journal
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March 2013 |
Formulation structure of the mass-flux convection parameterization
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journal
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September 2014 |
Convective quasi-equilibrium
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journal
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January 2012 |
Interactions between Shallow and Deep Convection under a Finite Departure from Convective Quasi Equilibrium
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journal
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December 2012 |
Stochastic Subgrid Parameterizations for Simulations of Atmospheric Baroclinic Flows
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journal
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September 2009 |
Stochastic modelling of unresolved eddy fluxes
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journal
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August 2010 |
Stochastic subgrid-scale modelling for non-equilibrium geophysical flows
- Zidikheri, Meelis J.; Frederiksen, Jorgen S.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, Issue 1910
https://doi.org/10.1098/rsta.2009.0192
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journal
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January 2010 |