97 citations · 490 across the 21 of their papers we have counts for
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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…
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…
Parallel finite-element codes for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates
Georges Sadaka, Pierre Jolivet, Efstathios G. Charalampidis +1
We present and distribute a parallel finite-element toolbox written in the free software FreeFem for computing the Bogoliubov-de Gennes (BdG) spectrum of stationary solutions to on…