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math.AP2025
Random Regularity of the Vlasov-Poisson System with Random Initial Inputs in the Quasineutral Regime
Wenyi Wang, Yiwen Lin
The Vlasov-Poisson system is widely used in plasma physics and other related fields. In this paper, we study the Vlasov-Poisson system with initial uncertainty in the quasineutral…
math.NA2025
Efficient numerical methods for the uncertain Boltzmann equation based on a hybrid solver
Yiwen Lin, Liu Liu
In this work, we propose and compare several approaches to solve the Boltzmann equation with uncertain parameters, including multi-level Monte Carlo and multi-fidelity methods that…
math.NA2025
An inverse random diffraction grating problem for the Helmholtz equation
Zhiqi Sun, Yiwen Lin
This paper investigates the inverse scattering problem of time-harmonic plane waves incident on a perfectly reflecting random periodic structure. To simulate random perturbations a…