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math.NA2025
Reconstruction of heat relaxation index in phonon transport equation
Peiyi Chen, Irene M. Gamba, Qin Li +1
For nano-materials, heat conductivity is an ill-defined concept. This classical concept assumes the validity of Fourier's law, which states the heat flux is proportional to tempera…
math.NA2023
Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization
Lukas Einkemmer, Qin Li, Li Wang +1
Fusion energy offers the potential for the generation of clean, safe, and nearly inexhaustible energy. While notable progress has been made in recent years, significant challenges…
math.NA2022
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation
Qin Li, Li Wang, Yunan Yang
Can Monte Carlo (MC) solvers be directly used in gradient-based methods for PDE-constrained optimization problems? In these problems, a gradient of the loss function is typically p…