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20172026
most citedAccelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators

11 citations · 12 across the 5 of their papers we have counts for

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Showing 2026 · math.NAShow all

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math.NA2026

Asymptotic gauge-invariant Hybrid High-Order method for magnetic Schrödinger equations

Joubine Aghili

We introduce a Hybrid High-Order (HHO) method for the Schrödinger equation in the presence of a magnetic vector potential. In quantum mechanics, physical observables are invariant…

math.NA2026

Data-efficient extraction of optical properties from 3D Monte Carlo TPSFs using Bi-LSTM transfer learning

Joubine Aghili, Rémi Imbach, Anne Pallarès +2

Time-Resolved Spectroscopy (TRS) is a powerful modality for non-invasive characterization of turbid media. However, extracting optical properties, absorption and reduced scat…

math.NA2026

Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov

Joubine Aghili, Hassan Ballout, Yvon Maday +1

This paper investigates model reduction methods for efficiently approximating the solution of parameter-dependent PDEs with a multi-parameter vector . In ca…