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math.NA2024
Physics Informed Neural Networks for heat conduction with phase change
Bahae-Eddine Madir, Francky Luddens, Corentin Lothodé +1
We study numerical algorithms to solve a specific Partial Differential Equation (PDE), namely the Stefan problem, using Physics Informed Neural Networks (PINNs). This problem descr…
math.NA2024
Influence of gauges in the numerical simulation of the time-dependent Ginzburg-Landau model
Cyril Tain, Jean-Guy Caputo, Ionut Danaila
The time-dependent Ginzburg-Landau (TDGL) model requires the choice of a gauge for the problem to be mathematically well-posed. In the literature, three gauges are commonly used: t…