Theoretical tools for understanding the climate crisis from Hasselmann's programme and beyond

V Lucarini, MD Chekroun - Nature Reviews Physics, 2023 - nature.com
Klaus Hasselmann's revolutionary intuition in climate science was to use the stochasticity
associated with fast weather processes to probe the slow dynamics of the climate system …

Bridging Large Eddy Simulation and Reduced Order Modeling of Convection-Dominated Flows through Spatial Filtering: Review and Perspectives

A Quaini, O San, A Veneziani, T Iliescu - arxiv preprint arxiv:2407.00231, 2024 - arxiv.org
Reduced order models (ROMs) have achieved a lot of success in reducing the
computational cost of traditional numerical methods across many disciplines. For convection …

Spectral proper orthogonal decomposition using multitaper estimates

OT Schmidt - Theoretical and Computational Fluid Dynamics, 2022 - Springer
The use of multitaper estimates for spectral proper orthogonal decomposition (SPOD) is
explored. Multitaper and multitaper-Welch estimators that use discrete prolate spheroidal …

Simple, low-cost and accurate data-driven geophysical forecasting with learned kernels

B Hamzi, R Maulik, H Owhadi - Proceedings of the …, 2021 - royalsocietypublishing.org
Modelling geophysical processes as low-dimensional dynamical systems and regressing
their vector field from data is a promising approach for learning emulators of such systems …

[HTML][HTML] Efficient high-dimensional variational data assimilation with machine-learned reduced-order models

R Maulik, V Rao, J Wang, G Mengaldo… - Geoscientific Model …, 2022 - gmd.copernicus.org
Data assimilation (DA) in geophysical sciences remains the cornerstone of robust forecasts
from numerical models. Indeed, DA plays a crucial role in the quality of numerical weather …

A comparison of data-driven reduced order models for the simulation of mesoscale atmospheric flow

A Hajisharifi, M Girfoglio, A Quaini, G Rozza - Finite Elements in Analysis …, 2024 - Elsevier
The simulation of atmospheric flows by means of traditional discretization methods remains
computationally intensive, hindering the achievement of high forecasting accuracy in short …

Underestimated MJO variability in CMIP6 models

PVV Le, C Guilloteau, A Mamalakis… - Geophysical …, 2021 - Wiley Online Library
Abstract The Madden‐Julian Oscillation (MJO) is the leading mode of intraseasonal climate
variability, having profound impacts on a wide range of weather and climate phenomena …

Neural-network learning of SPOD latent dynamics

A Lario, R Maulik, OT Schmidt, G Rozza… - Journal of Computational …, 2022 - Elsevier
We aim to reconstruct the latent space dynamics of high dimensional, quasi-stationary
systems using model order reduction via the spectral proper orthogonal decomposition …

[HTML][HTML] pyLOM: A HPC open source reduced order model suite for fluid dynamics applications

B Eiximeno, A Miró, B Begiashvili, E Valero… - Computer Physics …, 2025 - Elsevier
This paper describes the numerical implementation in a high-performance computing
environment of an open-source library for model order reduction in fluid dynamics. This …

[PDF][PDF] Pyspod: A python package for spectral proper orthogonal decomposition (spod)

G Mengaldo, R Maulik - Journal of Open Source Software, 2021 - joss.theoj.org
Large unstructured datasets may contain complex coherent patterns that evolve in time and
space, and that the human eye cannot grasp. These patterns are frequently essential to …