output
19942026
most citedCluster-based reduced-order modelling of a mixing layer

295 citations

95 papers

math.NA2026

Neural Network Preconditioning: A Case Study for the Solution of the Parametric Helmholtz Equation

Luc Giraud, Carola Kruse, Paul Mycek +2

This work presents a hybrid numerical approach for solving linear systems arising from the discretization of the two-dimensional parametric Helmholtz equation. A convolutional neur…

cs.SE2026

AVX / NEON Intrinsic Functions: When Should They Be Used?

Théo Boivin, Joeffrey Legaux

A cross-configuration benchmark is proposed to explore the capacities and limitations of AVX / NEON intrinsic functions in a generic context of development project, when a vectoris…

cs.MS2025★ 1 cited

Memory- and compute-optimized geometric multigrid GMGPolar for curvilinear coordinate representations -- Applications to fusion plasma

Julian Litz, Philippe Leleux, Carola Kruse +2

Tokamak fusion reactors are actively studied as a means of realizing energy production from plasma fusion. However, due to the substantial cost and time required to construct fusio…

math.NA2025

An Introduction to Solving the Least-Squares Problem in Variational Data Assimilation

I. Daužickaitė, M. A. Freitag, S. Gürol +4

Variational data assimilation is a technique for combining measured data with dynamical models. It is a key component of Earth system state estimation and is commonly used in weath…

math.NA2025

Block Alpha-Circulant Preconditioners for All-at-Once Diffusion-Based Covariance Operators

Jemima M. Tabeart, Selime Gürol, John W. Pearson +1

Covariance matrices are central to data assimilation and inverse methods derived from statistical estimation theory. Previous work has considered the application of an all-at-once…

eess.IV2025★ 2 cited

Assimilation of SWOT Altimetry Data for Riverine Flood Reanalysis: From Synthetic to Real Data

Quentin Bonassies, Thanh Huy Nguyen, Ludovic Cassan +6

Floods are one of the most common and devastating natural disasters worldwide. The contribution of remote sensing is important for reducing the impact of flooding both during the e…