145 citations · 374 across the 29 of their papers we have counts for
4 papers · 1 filter
Efficient high-dimensional variational data assimilation with machine-learned reduced-order models
Romit Maulik, Vishwas Rao, Jiali Wang +6
Data assimilation (DA) in the geophysical sciences remains the cornerstone of robust forecasts from numerical models. Indeed, DA plays a crucial role in the quality of numerical we…
Fully-discrete spatial eigenanalysis of discontinuous spectral element methods: insights into well-resolved and under-resolved vortical flows
Niccolò Tonicello, Rodrigo C Moura, Guido Lodato +1
This study presents a comprehensive spatial eigenanalysis of fully-discrete discontinuous spectral element methods, now generalizing previous spatial eigenanalysis that did not inc…
Neural-network learning of SPOD latent dynamics
Andrea Lario, Romit Maulik, Oliver T. Schmidt +2
We aim to reconstruct the latent space dynamics of high dimensional, quasi-stationary systems using model order reduction via the spectral proper orthogonal decomposition (SPOD). T…
PyParSVD: A streaming, distributed and randomized singular-value-decomposition library
Romit Maulik, Gianmarco Mengaldo
We introduce PyParSVD\footnote{https://github.com/Romit-Maulik/PyParSVD}, a Python library that implements a streaming, distributed and randomized algorithm for the singular value…