Xiaojiang Zhang

About me

I am with the School of Mathematics and Statistics at Central South University, which I joined in July 2024. I received my Ph.D. in Computational Mathematics from Shanghai Jiao Tong University in 2022, advised by Professor Min Tang, and my B.Sc. in Mathematics and Applied Mathematics from Central South University in 2016. From 2022 to 2024, I was a postdoctoral researcher at the Institute of Natural Sciences, Shanghai Jiao Tong University.

I study numerical methods for partial differential equations, with particular interests in multiscale kinetic problems and asymptotic-preserving schemes. My work includes radiative transfer, radiation magnetohydrodynamics, particle methods, and proton transport.

Research Interests

• Numerical methods for partial differential equations and multiscale problems
• Asymptotic-preserving schemes for radiative transfer and radiation magnetohydrodynamics
• Particle methods for kinetic equations in strongly magnetized regimes
• Deterministic numerical methods for proton transport and dose calculation

Publications and Accepted Papers

1. Asymptotic-Preserving Particle-In-Cell Method for the Magnetized Vlasov–Poisson–Fokker–Planck Equation

   Anjiao Gu, Xiaojiang Zhang

   Journal of Scientific Computing, 108, Article 49 (2026). [DOI]

   Asymptotic-preserving particle methods for a strongly magnetized kinetic equation, with analysis of their asymptotic properties and uniform convergence.

2. Depth splitting method for the linear Boltzmann model of primary proton distribution

   Xiaojiang Zhang, Xuemin Bai, Min Tang

   Communications in Computational Physics, Accepted (2025). [arXiv]

   A deterministic solver combining scattering decomposition and depth splitting for proton transport, with dose distributions compared against Monte Carlo simulations.

   Preprint title: A deterministic solver for the linear Boltzmann model of a single mono-directional proton beam.

3. A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations

   Xiaojiang Zhang, Peng Song, Yi Shi, Min Tang

   Journal of Computational Physics, 491, 112368 (2023). [DOI]

   A decomposed multi-group method with asymptotic-preserving frequency, time, and space discretizations in different radiation diffusion limits.

4. A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit

   Shi Jin, Min Tang, Xiaojiang Zhang

   Journal of Computational Physics, 452, 110895 (2022). [DOI]

   A decomposition of radiative intensity yields a space-time asymptotic-preserving scheme for both equilibrium and non-equilibrium diffusion limits.

5. Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation

   Min Tang, Li Wang, Xiaojiang Zhang

   SIAM Journal on Scientific Computing, 43(3), B759–B783 (2021). [DOI]

   A prediction-correction-projection approach that captures front propagation in the nonlinear diffusion limit while preserving the free-streaming limit.

6. Semi-implicit front capturing schemes for the degenerate nonlinear radiative diffusion equation

   Min Tang, Xiaojiang Zhang

   Journal of Computational Physics, 436, 110290 (2021). [DOI]

   Two semi-implicit front-capturing schemes for degenerate nonlinear radiative diffusion, examining accuracy, stability, and computational cost.

Experiences

Employment

Education

Teaching Experience

Central South University (CSU)

• Probability and Statistics, undergraduate course, Fall semester, 2025.
• Linear Algebra, undergraduate course, Spring semester, 2025.
• Statistical Inverse Problem, graduate course, Fall semester, 2025.

Research Projects

• Young Scientists Fund, National Natural Science Foundation of China
  Principal Investigator
• Young Scientists Fund, Natural Science Foundation of Hunan Province
  Principal Investigator
• China Postdoctoral Science Foundation, 72nd General Program (Second Class)
  Principal Investigator; Nov. 2022 - Jun. 2024
• Nuclear Science Challenge Program for National Defense Basic Research
  Participant; Jan. 2017 - Dec. 2019
• Special Project, CAEP Inertial Confinement Center
  Participant; Jan. 2018 - Dec. 2019
• Strategic Priority Research Program, Chinese Academy of Sciences
  Participant; Jan. 2020 - Dec. 2024

Honors and Awards

• 2023 - Chenxing Postdoctoral Program, Shanghai Jiao Tong University
• 2022 - Outstanding Graduate, Shanghai Jiao Tong University
• 2021 - Outstanding Student, Shanghai Jiao Tong University
• 2021 - Wu Wenjun Scholarship, Shanghai Jiao Tong University
• 2021 - Weichai Power Scholarship, Shanghai Jiao Tong University
• 2016 - Outstanding Graduate, Central South University
• 2014 - Huang Qianheng Scholarship, Central South University

Talks and Professional Service

Selected Talks

• Workshop on Scientific Computing: Algorithms and Modeling, Shanghai Jiao Tong University, 2023.
• Doctoral Workshop on Applied Mathematics, Fudan University, 2022.
• Invited talk, TM20 Minisymposium, 19th Annual Meeting of the China Society for Industrial and Applied Mathematics.
• Invited talk, 4th Peking University Workshop for Outstanding Doctoral Students in Computational and Applied Mathematics and 7th Beijing Graduate Forum on Computational Mathematics.
• Student presentation, 2018 Annual Meeting of the Challenge Program on High-Accuracy and High-Resolution Computational Methods.

Professional Service

• Workshop organization: Workshop on Kinetic and Fluid Equations, 2023.

Patent Application

A simulation method for determining primary proton dose distributions based on probability density and operator splitting (patent application).