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math.NA2026
Dynamical low-rank approximation for the semiclassical Schrodinger equation with uncertainties
Liu Liu, Limin Xu, Zhenyi Zhu
In this paper, we propose a dynamical low-rank (DLR) approximation framework for solving the semiclassical Schrodinger equation with uncertainties. The primary numerical challenges…
math.NA2025
A time-splitting Fourier pseudospectral method for the Wigner(-Poisson)-Fokker-Planck equations
Qian Yi, Limin Xu
In this article, we propose an efficient time-splitting Fourier pseudospectral method for the Wigner(-Poisson)-Fokker-Planck equations. The method achieves second-order accuracy in…