3 papers
math.NA2025
A deterministic solver for the linear Boltzmann model of a single mono-directional proton beam
Xiaojiang Zhang, Xuemin Bai, Min Tang
The linear Boltzmann model for proton beams is a six-dimensional partial differential equation (PDE). We propose a deterministic solver for the linear Boltzmann model based on scat…
math.NA2025
Asymptotic-preserving particle-in-cell method for the magnetized Vlasov--Poisson--Fokker--Planck equation
Anjiao Gu, Xiaojiang Zhang
In this work, we develop and rigorously analyze a new class of particle methods for the magnetized Vlasov--Poisson--Fokker--Planck system. The proposed approach addresses two funda…
math.SP2023
Anderson localization for block jacobi operators with quasi-periodic meromorphic potential
Xiaojian Zhang
In this paper, we study block Jacobi operators on with quasi-periodic meromorphic potential. We prove the non-perturbative Anderson localization for such operators in…