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A Gaussian–Mixture Model Smoother for Continuous Nonlinear Stochastic Dynamical Systems: Theory and Scheme
Publisher: American Meteorological Society
Abstract: etrospective inference through Bayesian smoothing is indispensable in geophysics, with crucial applications in ocean and numerical weather estimation, climate dynamics, and Earth system modeling. However, dealing with the ...
A Gaussian-Mixture Model Smoother for Continuous Nonlinear Stochastic Dynamical Systems: Applications
Publisher: American Meteorological Society
Abstract: he nonlinear Gaussian?Mixture?Model Dynamically?Orthogonal (GMM?DO) smoother for high?dimensional stochastic fields is exemplified and contrasted with other smoothers by applications to three dynamical systems, all of which ...
Data Assimilation with Gaussian Mixture Models Using the Dynamically Orthogonal Field Equations. Part II: Applications
Publisher: American Meteorological Society
Abstract: he properties and capabilities of the Gaussian Mixture Model?Dynamically Orthogonal filter (GMM-DO) are assessed and exemplified by applications to two dynamical systems: 1) the double well diffusion and 2) sudden expansion ...
Data Assimilation with Gaussian Mixture Models Using the Dynamically Orthogonal Field Equations. Part I: Theory and Scheme
Publisher: American Meteorological Society
Abstract: his work introduces and derives an efficient, data-driven assimilation scheme, focused on a time-dependent stochastic subspace that respects nonlinear dynamics and captures non-Gaussian statistics as it occurs. The motivation ...
A Topographic–Rossby Mode Resonance over the Iceland–Faeroe Ridge
Publisher: American Meteorological Society
Abstract: An array of current meter moorings along 12°W on the southern side of the lceland-Faeroe Ridge reveals a narrowband barotropic oscillation with period 1.8 days in spectra of velocity. The signal is coherent over at least ...
A Coupled-Mode Shallow-Water Model for Tidal Analysis: Internal Tide Reflection and Refraction by the Gulf Stream
Publisher: American Meteorological Society
Abstract: hydrostatic, coupled-mode, shallow-water model (CSW) is described and used to diagnose and simulate tidal dynamics in the greater Mid-Atlantic Bight region. The reduced-physics model incorporates realistic stratification ...