Mathematical and physical ideas for climate science
The climate is a forced and dissipative nonlinear system featuring nontrivial dynamics on a
vast range of spatial and temporal scales. The understanding of the climate's structural and …
vast range of spatial and temporal scales. The understanding of the climate's structural and …
[HTML][HTML] Stochastic parameterization: Toward a new view of weather and climate models
Stochastic Parameterization: Toward a New View of Weather and Climate Models in:
Bulletin of the American Meteorological Society Volume 98 Issue 3 (2017) Jump to Content …
Bulletin of the American Meteorological Society Volume 98 Issue 3 (2017) Jump to Content …
A new framework for climate sensitivity and prediction: a modelling perspective
F Ragone, V Lucarini, F Lunkeit - Climate dynamics, 2016 - Springer
The sensitivity of climate models to increasing CO 2 concentration and the climate response
at decadal time-scales are still major factors of uncertainty for the assessment of the long …
at decadal time-scales are still major factors of uncertainty for the assessment of the long …
Response operators for Markov processes in a finite state space: radius of convergence and link to the response theory for Axiom A systems
V Lucarini - Journal of Statistical Physics, 2016 - Springer
Using straightforward linear algebra we derive response operators describing the impact of
small perturbations to finite state Markov processes. The results can be used for studying …
small perturbations to finite state Markov processes. The results can be used for studying …
Stochastic parametrization of subgrid‐scale processes in coupled ocean–atmosphere systems: benefits and limitations of response theory
J Demaeyer, S Vannitsem - Quarterly Journal of the Royal …, 2017 - Wiley Online Library
A stochastic subgrid‐scale parametrization based on the Ruelle's response theory and
proposed by Wouters and Lucarini is tested in the context of a low‐order coupled ocean …
proposed by Wouters and Lucarini is tested in the context of a low‐order coupled ocean …
Nonequilibrium temperature response for stochastic overdamped systems
The thermal response of nonequilibrium systems requires the knowledge of concepts that go
beyond entropy production. This is showed for systems obeying overdamped Langevin …
beyond entropy production. This is showed for systems obeying overdamped Langevin …
Response formulae for n-point correlations in statistical mechanical systems and application to a problem of coarse graining
V Lucarini, J Wouters - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
Predicting the response of a system to perturbations is a key challenge in mathematical and
natural sciences. Under suitable conditions on the nature of the system, of the perturbation …
natural sciences. Under suitable conditions on the nature of the system, of the perturbation …
An exploration of multivariate fluctuation dissipation operators and their response to sea surface temperature perturbations
D Fuchs, S Sherwood… - Journal of the Atmospheric …, 2015 - journals.ametsoc.org
The fluctuation–dissipation theorem (FDT) has been proposed as a method of calculating
the mean response of the atmosphere to small external perturbations. This paper explores …
the mean response of the atmosphere to small external perturbations. This paper explores …
Variational optimization and data assimilation in chaotic time-delayed systems with automatic-differentiated shadowing sensitivity
In this computational paper, we perform sensitivity analysis of long-time (or ensemble)
averages in the chaotic regime using the shadowing algorithm. We introduce automatic …
averages in the chaotic regime using the shadowing algorithm. We introduce automatic …
Comparison of stochastic parameterizations in the framework of a coupled ocean–atmosphere model
J Demaeyer, S Vannitsem - Nonlinear Processes in Geophysics, 2018 - npg.copernicus.org
A new framework is proposed for the evaluation of stochastic subgrid-scale
parameterizations in the context of the Modular Arbitrary-Order Ocean-Atmosphere Model …
parameterizations in the context of the Modular Arbitrary-Order Ocean-Atmosphere Model …