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Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

Atmospheric and Oceanic Physics · Physics 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy

Data-driven hourly weather forecasting models often face the challenge of error accumulation in long-term predictions. The problem is exacerbated by non-physical temporal discontinuities present in widely-used training datasets such as…

Machine Learning · Computer Science 2025-10-01 Shuangshuang He , Yuanting Zhang , Hongli Liang , Qingye Meng , Xingyuan Yuan , Shuo Wang

This paper describes LFRic: the new weather and climate modelling system being developed by the UK Met Office to replace the existing Unified Model in preparation for exascale computing in the 2020s. LFRic uses the GungHo dynamical core and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-15 S. V. Adams , R. W. Ford , M. Hambley , J. M. Hobson , I. Kavcic , C. M. Maynard , T. Melvin , E. H Mueller , S. Mullerworth , A. R. Porter , M. Rezny , B. J. Shipway , R. Wong

Urgent applications like wildfire management and renewable energy generation require precise, localized weather forecasts near the Earth's surface. However, forecasts produced by machine learning models or numerical weather prediction…

The non-stationarity characteristic of the solar power renders traditional point forecasting methods to be less useful due to large prediction errors. This results in increased uncertainties in the grid operation, thereby negatively…

Machine Learning · Computer Science 2020-09-15 Sakshi Mishra , Praveen Palanisamy

Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

Atmospheric and Oceanic Physics · Physics 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio

We consider geometric multigrid methods for the solution of linear systems arising from isogeometric discretizations of elliptic partial differential equations. For classical finite elements, such methods are well known to be fast solvers…

Numerical Analysis · Mathematics 2017-05-16 Clemens Hofreither , Stefan Takacs , Walter Zulehner

Site-specific weather forecasts are essential to accurate prediction of power demand and are consequently of great interest to energy operators. However, weather forecasts from current numerical weather prediction (NWP) models lack the…

Atmospheric and Oceanic Physics · Physics 2024-08-02 MengMeng Han , Tennessee Leeuwenburg , Brad Murphy

Numerical solution of discrete PDEs corresponding to saddle point problems is highly relevant to physical systems such as Stokes flow. However, scaling up numerical solvers for such systems is often met with challenges in efficiency and…

Numerical Analysis · Mathematics 2024-08-23 Yutian Tao , Eftychios Sifakis

The computational complexity of classical numerical methods for solving Partial Differential Equations (PDE) scales significantly as the resolution increases. As an important example, climate predictions require fine spatio-temporal…

Machine Learning · Computer Science 2022-10-12 Oussama Boussif , Dan Assouline , Loubna Benabbou , Yoshua Bengio

Although multigrid is asymptotically optimal for solving many important partial differential equations, its efficiency relies heavily on the careful selection of the individual algorithmic components. In contrast to recent approaches that…

Computational Engineering, Finance, and Science · Computer Science 2026-03-19 Dinesh Parthasarathy , Wayne Mitchell , Arjun Gambhir , Harald Köstler , Ulrich Rüde

High performance grid computing is a key enabler of large scale collaborative computational science. With the promise of exascale computing, high performance grid systems are expected to incur electricity bills that grow super-linearly over…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-01 Prakash Murali , Sathish Vadhiyar

Current postprocessing techniques often require separate models for each lead time and disregard possible inter-ensemble relationships by either correcting each member separately or by employing distributional approaches. In this work, we…

Cloud-related parameterizations remain a leading source of uncertainty in climate projections. Although machine learning holds promise for Earth system models (ESMs), many data-driven parameterizations lack interpretability, physical…

Atmospheric and Oceanic Physics · Physics 2025-11-25 Arthur Grundner , Tom Beucler , Julien Savre , Axel Lauer , Manuel Schlund , Veronika Eyring

An exponential growth in computing power, which has brought more sophisticated and higher resolution simulations of the climate system, and an exponential increase in observations since the first weather satellite was put in orbit, are…

Atmospheric and Oceanic Physics · Physics 2024-08-20 Annalisa Bracco , Julien Brajard , Henk A. Dijkstra , Pedram Hassanzadeh , Christian Lessig , Claire Monteleoni

We present an operations-ready multi-model ensemble weather forecasting system which uses hybrid data-driven weather prediction models coupled with the European Centre for Medium-range Weather Forecasts (ECMWF) ocean model to predict global…

Atmospheric and Oceanic Physics · Physics 2024-03-26 Jonathan A. Weyn , Divya Kumar , Jeremy Berman , Najeeb Kazmi , Sylwester Klocek , Pete Luferenko , Kit Thambiratnam

Global medium-range weather forecasting is critical to decision-making across many social and economic domains. Traditional numerical weather prediction uses increased compute resources to improve forecast accuracy, but cannot directly use…

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

Machine Learning · Computer Science 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

Accurate forecasting of multivariate time series remains challenging due to the need to capture both short-term fluctuations and long-range temporal dependencies. Transformer-based models have emerged as a powerful approach, but their…

Machine Learning · Computer Science 2026-03-26 Aymane Harkati , Moncef Garouani , Olivier Teste , Julien Aligon , Mohamed Hamlich

We present a significantly-improved data-driven global weather forecasting framework using a deep convolutional neural network (CNN) to forecast several basic atmospheric variables on a global grid. New developments in this framework…

Atmospheric and Oceanic Physics · Physics 2020-10-14 Jonathan A. Weyn , Dale R. Durran , Rich Caruana