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The stochastic Arctic sea ice model described as a single periodic non-autonomous stochastic ordinary differential equation (ODE) is useful in explaining the seasonal variability of Arctic sea ice. However, to be nearer to realistic…

Atmospheric and Oceanic Physics · Physics 2016-11-02 Woosok Moon

Extreme sea level estimates are fundamental for mitigating against coastal flooding as they provide insight for defence engineering. As the global climate changes, rising sea levels combined with increases in storm intensity and frequency…

Methodology · Statistics 2022-08-02 Eleanor D'Arcy , Jonathan A. Tawn

Many rare weather events, including hurricanes, droughts, and floods, dramatically impact human life. To accurately forecast these events and characterize their climatology requires specialized mathematical techniques to fully leverage the…

Atmospheric and Oceanic Physics · Physics 2020-07-15 Justin Finkel , Dorian Abbot , Jonathan Weare

Physical models with uncertain inputs are commonly represented as parametric partial differential equations (PDEs). That is, PDEs with inputs that are expressed as functions of parameters with an associated probability distribution.…

Numerical Analysis · Mathematics 2023-05-15 Benjamin M. Kent , Catherine E. Powell , David J. Silvester , Małgorzata J. Zimoń

The accurate prediction of oceanographic variables is crucial for understanding climate change, managing marine resources, and optimizing maritime activities. Traditional ocean forecasting relies on numerical models; however, these…

Machine Learning · Computer Science 2025-10-30 Víctor Medina , Giovanny A. Cuervo-Londoño , Javier Sánchez

In this work, we explore various relevant aspects of the Smoothed Particle Hydrodynamics regarding Burger's equation. The stability, precision, and efficiency of the algorithm are investigated in terms of different implementations. In…

Computational Physics · Physics 2020-01-08 Chong Ye , Philipe Mota , Jin Li , Kai Lin , Wei-Liang Qian

In this work, a stochastic representation based on a physical transport principle is proposed to account for mesoscale eddy effects on the large-scale oceanic circulation. This stochastic framework arises from a decomposition of the…

Geophysics · Physics 2022-07-26 Long Li , Bruno Deremble , Noé Lahaye , Etienne Mémin

In a multiplanet system, tides acting on the inner planet can significantly affect the orbital evolution of the entire system. While tides usually damp eccentricities, a novel mechanism identified by Correia et al. (2012) tends to raise…

Earth and Planetary Astrophysics · Physics 2015-06-17 Richard Greenberg , Christa Van Laerhoven , Rory Barnes

Hurricane track forecasting remains a significant challenge due to the complex interactions between the atmosphere, land, and ocean. Although AI-based numerical weather prediction models, such as Google Graphcast operation, have…

The rotating shallow water model is a simplification of oceanic and atmospheric general circulation models that are used in many applications such as surge prediction, tsunami tracking and ocean modelling. In this paper we introduce a class…

Analysis of PDEs · Mathematics 2023-03-22 Oana Lang , Dan Crisan , Etienne Mémin

Sudden Stratospheric Warmings (SSWs) are key sources of subseasonal predictability and major drivers of extreme weather in winter. Accurate and efficient probabilistic forecasting of these events remains a persistent challenge for Numerical…

Machine Learning · Computer Science 2026-02-24 Ningning Tao , Fei Xie , Baoxiang Pan , Hongyu Wang , Han Huang , Zhongpu Qiu , Ke Gui , Jiali Luo , Xiaosong Chen

Climate change substantially impacts ecological systems. Marine species are shifting their distribution because of climate change towards colder waters, potentially compromising the benefits of currently established Marine Protected Areas…

Populations and Evolution · Quantitative Biology 2023-09-06 Talya ten Brink

Distributed, small-scale solar photovoltaic (PV) systems are being installed at a rapidly increasing rate. This can cause major impacts on distribution networks and energy markets. As a result, there is a significant need for improved…

Machine Learning · Computer Science 2022-06-23 Maneesha Perera , Julian De Hoog , Kasun Bandara , Saman Halgamuge

It is largely agreed that subseasonal-to-seasonal (S2S) predictability arises from the atmospheric initial state during early lead times and from the land and ocean during intermediate and late lead times. We test this hypothesis for the…

Atmospheric and Oceanic Physics · Physics 2025-01-14 Jhayron S. Pérez-Carrasquilla , Maria J. Molina

Theoretical studies on the modulation of unidimensional regular waves over a flat bottom due to a current typically assign an asymmetry between the effects of opposing/following streams on the evolution of major sea variables, such as…

Fluid Dynamics · Physics 2026-01-27 Ina Teutsch , Saulo Mendes , Jerome Kasparian

We propose computationally efficient methods for estimating stationary multivariate spatial and spatial-temporal spectra from incomplete gridded data. The methods are iterative and rely on successive imputation of data and updating of model…

Methodology · Statistics 2018-11-06 Joseph Guinness

The use of coupled Backward Lyapunov Vectors (BLV) for ensemble forecast is demonstrated in a coupled ocean-atmosphere system of reduced order, the Modular Arbitrary Order Ocean-Atmosphere Model (MAOOAM). It is found that overall the best…

Atmospheric and Oceanic Physics · Physics 2020-06-23 Stéphane Vannitsem , Wansuo Duan

We introduce an algorithm that can be used to perform stochastic perturbation theory (sPT) to correct any non-linearly parametrized wavefunction that can be optimized using orbital space Variational Monte Carlo (VMC). Although the…

Strongly Correlated Electrons · Physics 2018-03-13 Sandeep Sharma

One essential component of operational space weather forecasting is the prediction of solar flares. With a multitude of flare forecasting methods now available online it is still unclear which of these methods performs best, and none are…

Space Physics · Physics 2020-08-04 Jordan A. Guerra , Sophie A. Murray , D. Shaun Bloomfield , Peter T. Gallagher

Contemporary weather forecasts are typically based on ensemble prediction systems, which consist of multiple runs of numerical weather prediction models that vary with respect to in the initial conditions and/or the the parameterization of…

Methodology · Statistics 2016-05-04 Roman Schefzik