66 citations · 69 across the 5 of their papers we have counts for
5 papers
Physics-Informed Neural Networks for coupled stiff transport systems
Laetitia Laguzet, Gabriel Turinici
Physics-Informed Neural Networks (PINN) struggle with stiff, regime-changing transport equations due to instability, loss imbalance, and violations of physical consistency. This pa…
Individual vaccination as Nash equilibrium in a SIR model with application to the 2009-10 Influenza A(H1N1) epidemic in France
Laetitia Laguzet, Gabriel Turinici
The vaccination against ongoing epidemics is seldom compulsory but remains one of the most classical means to fight epidemic propagation. However recent debates concerning the inno…
Model free collision aggregation for the computation of escape distributions
Laetitia Laguzet, Gabriel Turinici
Motivated by a heat radiative transport equation, we consider a particle undergoing collisions in a space-time domain and propose a method to sample its escape time, space and dire…
A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations
Laetitia Laguzet, Gabriel Turinici
We present a population control method with sampling and regulation steps for Monte Carlo particles involved in the numerical simulation of a transport equation. We recall in the f…
The Quantization Monte Carlo method for solving radiative transport equations
Laetitia Laguzet, Gabriel Turinici
We introduce the Quantization Monte Carlo method to solve thermal radiative transport equations with possibly several collision regimes, ranging from few collisions to massive numb…