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- Hugues Goosse, Elisabeth Crespin, +5 authors Drew Shindell
- 2011

Proxy reconstructions suggest that peak global temperature during the past warm interval known as the Medieval Climate Anomaly (MCA, roughly 950–1250 AD) has been exceeded only during the most recent decades. To better understand the origin of this warm period, we use model simulations constrained by data assimilation establishing the spatial pattern of… (More)

- Svetlana Dubinkina, Jason Frank
- J. Comput. Physics
- 2007

The results of statistical analysis of simulation data obtained from long time integrations of geophysical fluid models greatly depend on the conservation properties of the numerical discretization chosen. This is illustrated for quasi-geostrophic flow with topographic forcing, for which a well established statistical mechanics exists. Statistical… (More)

- Svetlana Dubinkina, Hugues Goosse, Yoann Sallaz-Damaz, Elisabeth Crespin, Michel Crucifix
- I. J. Bifurcation and Chaos
- 2011

Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite restricted system can be modelled by a generalized canonical ensemble, described by a density which is a smooth function of the energy of the restricted system. A thermostat is… (More)

- Svetlana Dubinkina, Jason Frank
- J. Comput. Physics
- 2010

We conduct long simulations with a Hamiltonian particle-mesh method for ideal fluid flow, to determine the statistical mean vorticity field. Lagrangian and Eulerian statistical models are proposed for the discrete dynamics, and these are compared against numerical experiments. The observed results are in excellent agreement with theoretical models, as well… (More)

a Université Catholique de Louvain, Earth and Life Institute, Georges Lemaître Centre for Earth and Climate Research, Chemin du Cyclotron, 2, B-1348 Louvain-la-Neuve, Belgium b CEREGE, Aix-Marseille Université/CNRS, Europole Méditerranéen de l'Arbois, Aix-en-Provence, France c Department of Meteorology and Earth and Environmental Systems Institute,… (More)

- Svetlana Dubinkina, Jason Frank, Benedict J. Leimkuhler
- Multiscale Modeling & Simulation
- 2010

Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite restricted system can be modelled by a generalized canonical ensemble, described by a density which is a smooth function of the energy of the restricted system. A thermostat is… (More)

- H. Goosse, S. Dubinkina
- 2013

Introduction Conclusions References Tables Figures Back Close Full Screen / Esc This discussion paper is/has been under review for the journal Climate of the Past (CP). Please refer to the corresponding final paper in CP if available. Abstract Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Abstract In an idealized framework,… (More)

- Bart de Leeuw, Svetlana Dubinkina, Jason Frank, Andrew Steyer, Xuemin Tu, Erik Van Vleck
- 2017

In this article we develop algorithms for data assimilation based upon a computational time dependent stable/unstable splitting. Our particular method is based upon shadowing refinement and synchronization techniques and is motivated by work on Assimilation in the Unstable Subspace (AUS) [10, 53, 41] and Pseudo-orbit Data Assimilation (PDA) [32, 31, 24].… (More)

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