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Recent advancements in evaluating matrix-exponential functions have opened the doors to the practical use of exponential time-integration methods in numerical weather prediction (NWP). The success of exponential methods in shallow water…

Fluid Dynamics · Physics 2023-09-19 Greg Rainwater , Kevin C. Viner , P. Alex Reinecke

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely employed for large-scale estimation tasks in disciplines such as…

Numerical Analysis · Mathematics 2024-05-24 Iris Rammelmüller , Gottfried Hastermann , Jana de Wiljes

With the success of machine learning (ML) applied to climate reaching further every day, emulators have begun to show promise not only for weather but for multi-year time scales in the atmosphere. Similar work for the ocean remains nascent,…

Atmospheric and Oceanic Physics · Physics 2024-08-05 Surya Dheeshjith , Adam Subel , Shubham Gupta , Alistair Adcroft , Carlos Fernandez-Granda , Julius Busecke , Laure Zanna

Computations have helped elucidate the dynamics of Earth's mantle for several decades already. The numerical methods that underlie these simulations have greatly evolved within this time span, and today include dynamically changing and…

Computational Engineering, Finance, and Science · Computer Science 2017-05-09 Timo Heister , Juliane Dannberg , Rene Gassmöller , Wolfgang Bangerth

Using a very cheap Data Assimilation (DA) method, I show an alternative approach to classical DA for numerical climate models which produce a large amount of "big data". The problematic features of state-of-the-art high resolution Regional…

Applications · Statistics 2016-10-12 Bijan Fallah

Molecular dynamics simulations have become essential in many areas of atomistic modelling from drug discovery to materials science. They provide critical atomic-level insights into key dynamical events experiments cannot easily capture.…

Biological Physics · Physics 2024-06-14 Tiejun Wei , Balint Dudas , Edina Rosta

Complex physical models are the most advanced tools available for producing realistic simulations of the climate system. However, such levels of realism imply high computational cost and restrictions on their use for policymaking and risk…

Atmospheric and Oceanic Physics · Physics 2021-11-03 Francisco Estrada , Oscar Calderón-Bustamante , Wouter Botzen , Julián A. Velasco , Richard S. J. Tol

Energy systems models, critical for power sector decision support, incur non-linear memory and runtime penalties when scaling up under typical formulations. Even hardware improvements cannot make large models tractable, requiring omission…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Anna F. Jacobson , Denise L. Mauzerall , Jesse D. Jenkins

Data assimilation algorithms are used to estimate the states of a dynamical system using partial and noisy observations. The ensemble Kalman filter has become a popular data assimilation scheme due to its simplicity and robustness for a…

Numerical Analysis · Mathematics 2021-06-23 Gottfried Hastermann , Maria Reinhardt , Rupert Klein , Sebastian Reich

Climate change is commonly associated with an overall increase in mean temperature in a defined past time period. Many studies consider temperature trends at the global scale, but the literature is lacking in in-depth analysis of the…

Applications · Statistics 2022-10-12 Qibin Duan , Clare A. McGrory , Glenn Brown , Kerrie Mengersen , You-Gan Wang

Weather forecasting is crucial for public safety, disaster prevention and mitigation, agricultural production, and energy management, with global relevance. Although deep learning has significantly advanced weather prediction, current…

Machine Learning · Computer Science 2025-02-18 Shixuan Li , Wei Yang , Peiyu Zhang , Xiongye Xiao , Defu Cao , Yuehan Qin , Xiaole Zhang , Yue Zhao , Paul Bogdan

Simulated tempering (ST) has attracted a great deal of attention in the last years, due to its capability to allow systems with complex dynamics to escape from regions separated by large entropic barriers. However its performance is…

Statistical Mechanics · Physics 2015-08-11 A. Valentim , Cláudio J. daSilva , Carlos E. Fiore

Earth's climate can be understood as a dynamical system that changes due to external forcing and internal couplings. Essential climate variables, such as surface air temperature, describe this dynamics. Our current interglacial, the…

Atmospheric and Oceanic Physics · Physics 2022-01-24 Beatrice Ellerhoff , Kira Rehfeld

How will the climate system respond to anthropogenic forcings? One approach to this question relies on climate model projections. Current climate projections are considerably uncertain. Characterizing and, if possible, reducing this…

Applications · Statistics 2014-08-01 Won Chang , Murali Haran , Roman Olson , Klaus Keller

The growing share of intermittent renewable energy sources, storage technologies, and the increasing degree of so-called sector coupling necessitates optimization-based energy system models with high temporal and spatial resolutions, which…

Optimization and Control · Mathematics 2021-11-24 Maximilian Hoffmann , Leander Kotzur , Detlef Stolten

The long-term temperature response to a given change in CO2 forcing, or Earth-system sensitivity (ESS), is a key parameter quantifying our understanding about the relationship between changes in Earth's radiative forcing and the resulting…

Geophysics · Physics 2021-03-02 Tony E. Wong , Ying Cui , Dana L. Royer , Klaus Keller

Low-order thermoacoustic models are qualitatively correct, but they are typically quantitatively inaccurate. We propose a time-domain bias-aware method to make qualitatively low--order models quantitatively (more) accurate. First, we…

Fluid Dynamics · Physics 2022-11-10 Andrea Nóvoa , Luca Magri

This letter proposes a predictor-corrector method to strike a balance between simulation accuracy and efficiency by appropriately tuning the numerical integration step length of a power system time-domain simulation. Numerical tests…

Computational Engineering, Finance, and Science · Computer Science 2019-02-07 Yiming Cai , Junbo Zhang , Weizhou Yu

Existing machine learning models of weather variability are not formulated to enable assessment of their response to varying external boundary conditions such as sea surface temperature and greenhouse gases. Here we present ACE2 (Ai2…