Article-Journal

A modified bisecting K-means for approximating transfer operators
We investigate the convergence behavior of data-driven discretizations of the Perron-Frobenius operator for chaotic systems using a …
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A theoretical framework to understand sources of error in Earth System Model emulation
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An EOF-Based Emulator of Means and Covariances of Monthly Climate Fields
This preprint introduces a statistical emulator designed to represent averaged climate fields. The emulator aims to efficiently …
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A GPU-based ocean dynamical core for routine mesoscale-resolving climate simulations
We describe an ocean hydrostatic dynamical core implemented in Oceananigans optimized for Graphical Processing Unit (GPU) …
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Predicting Forced Responses of Probability Distributions via the Fluctuation-Dissipation Theorem and Generative Modeling
We present a flexible data-driven framework for estimating the response of higher-order moments of nonlinear stochastic systems to …
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Formulation and calibration of CATKE, a one-equation parameterization for microscale ocean mixing
We describe CATKE, a parameterization for fluxes associated with small-scale or “microscale” ocean turbulent mixing on scales between 1 …
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Learning Dissipation and Instability Fields from Chaotic Dynamics
This paper establishes a novel theoretical connection between the operator-theoretic description of a dynamical system and its local …
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Response Theory via Generative Score Modeling
We introduce an approach for analyzing the responses of dynamical systems to external perturbations that combines score-based …
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On the non-local nature of turbulent fluxes of passive scalars
The parameterization of fluxes associated with representing unresolved dynamics in turbulent flows, especially in the atmosphere and …
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A New WENO-Based Momentum Advection Scheme for Simulations of Ocean Mesoscale Turbulence
Current eddy-permitting and eddy-resolving ocean models require dissipation to prevent a spurious accumulation of enstrophy at the grid …
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