3 papers
math.NA2026
On Physics-Based Loss Scaling for MF-PINNs applied to the neutron diffusion equation
Minh-Hieu Do, François Madiot, Karim Ammar +1
Physics-Based Loss Scaling (PBLS) is introduced for Mixed-Formulation PINNs (MF-PINNs) applied to the neutron diffusion equation. In particular, we propose a new \textit{scaled} lo…
math.NA2026
Diffusion Synthetic Acceleration for polytopic discretisations of Boltzmann transport
Ansar Calloo, Matthew Evans, François Madiot +1
We present a computational study of diffusion synthetic acceleration (DSA) for the monoenergetic, isotropically scattering transport equations, discretised in space by a poly…
math.NA2023
Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations
Yonah Conjungo Taumhas, Geneviève Dusson, Virginie Ehrlacher +2
In this article, we propose a reduced basis method for parametrized non-symmetric eigenvalue problems arising in the loading pattern optimization of a nuclear core in neutronics. T…