Xiaofeng Cai 蔡晓峰

Selected Journal Papers

1. Xiaofeng Cai, Qingtao Li, Hongtao Liu, Haibiao Zheng
   A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampère system
   Acta Mechanica Sinica, Vol. 42, 725364, 2026
2. Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu
   Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations
   Journal of Computational Physics, 529, 113890, 2025
   PDF Talk
3. Hongtao Liu, Xiaofeng Cai, Yong Cao, Giovanni Lapenta
   An asymptotic-preserving conservative semi-Lagrangian scheme for the Vlasov-Maxwell system in the quasi-neutral limit
   Journal of Computational Physics, 528, 113840, 2025
   PDF
4. Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu
   Fourth-order conservative non-splitting semi-Lagrangian Hermite WENO schemes for kinetic and fluid simulations
   Journal of Scientific Computing, 99, 70, 2024
   PDF
5. Hongtao Liu, Xiaofeng Cai, Yong Cao, Giovanni Lapenta
   An efficient energy conserving semi-Lagrangian kinetic scheme for the Vlasov-Ampère system
   Journal of Computational Physics, 492, 112412, 2023
   PDF
6. Hongtao Liu, Mengyu Chen, Xiaofeng Cai, Yong Cao, Giovanni Lapenta
   A combined immersed finite element and conservative semi-Lagrangian scheme for plasma-material interactions
   Journal of Computational Physics, 488, 112232, 2023
   PDF
7. Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu
   A fourth-order conservative semi-Lagrangian finite volume WENO scheme without operator splitting for kinetic and fluid simulations
   Computer Methods in Applied Mechanics and Engineering, 395, 114973, 2022
   Talk
8. Xiaofeng Cai, Jing-Mei Qiu
   Eulerian-Lagrangian Runge-Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes
   SIAM Journal on Scientific Computing, 44(4): A2037–A2060, 2022
9. Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
   Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations
   Communications on Applied Mathematics and Computation, 4, 3–33, 2022
10. Xiaofeng Cai, Jing-Mei Qiu, Yang Yang
    An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics
    Journal of Computational Physics, 439, 110392, 2021
11. Xiaofeng Cai, Sebastiano Boscarino, Jing-Mei Qiu
    High Order Semi-Lagrangian Discontinuous Galerkin Method Coupled with Runge-Kutta Exponential Integrators for Nonlinear Vlasov Dynamics
    Journal of Computational Physics, 427, 110036, 2021
12. Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu
    A conservative semi-Lagrangian hybrid Hermite WENO scheme for linear transport equations and the nonlinear Vlasov-Poisson system
    SIAM Journal on Scientific Computing, 43(5), A3580–A3606, 2021
13. Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for advection problem
    Communications in Computational Physics, 30: 67–96, 2021
    PDF
14. Hongtao Liu, Xiaofeng Cai, Giovanni Lapenta, Yong Cao
    Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system
    Communications in Nonlinear Science and Numerical Simulation, 102, 105941, 2021
15. Leitao Chen, Sauro Succi, Xiaofeng Cai, Laura Schaefer
    Semi-Lagrangian implicit Bhatnagar-Gross-Krook collision model for the finite-volume discrete Boltzmann method
    Physical Review E, 101.6, 063301, 2020
16. Yang Yang, Xiaofeng Cai, Jing-Mei Qiu
    Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension
    Mathematics of Computation, 89(325): 2113–2139, 2020
17. Mingchang Ding, Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
    A semi-Lagrangian discontinuous Galerkin (DG) – local DG method for solving convection-diffusion equations
    Journal of Computational Physics, 409, 109295, 2020
18. Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
    A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting
    Journal of Scientific Computing, 79.2: 1111–1134, 2019
19. Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
    A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting
    Journal of Computational Physics, 354: 529–551, 2018
20. Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    Finite volume HWENO schemes for nonconvex conservation laws
    Journal of Scientific Computing, 75.1: 65–82, 2018
21. Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
    A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations
    Journal of Scientific Computing, 73.2-3: 514–542, 2017 (special issue in honor of the 60th birthday of Chi-Wang Shu)
22. Xiaofeng Cai, Jun Zhu, Jianxian Qiu
    Hermite WENO schemes with strong stability preserving multi-step temporal discretization methods for conservation laws
    Journal of Computational Mathematics, 35: 19–40, 2017
23. Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    A conservative semi-Lagrangian HWENO method for the Vlasov equation
    Journal of Computational Physics, 323: 95–114, 2016
24. Xiaofeng Cai, Xiangxiong Zhang, Jianxian Qiu
    Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations
    Journal of Scientific Computing, 68: 464–483, 2016

Preprints

• Xinyue Zhang, Xiaofeng Cai, Waixiang Cao
  The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
• Xiaofeng Cai, Yibing Chen, Kunkai Fu, Liujun Pan
  A third-order conservative semi-Lagrangian discontinuous Galerkin scheme for the transport equation on curvilinear unstructured meshes
  arXiv
• Xiaofeng Cai, Linghui Kong, Dmitri Kuzmin, Li Shan
  Asymptotic-preserving conservative semi-Lagrangian discontinuous Galerkin schemes for the Vlasov-Poisson system in the quasi-neutral limit
  arXiv
• Xiaofeng Cai, Zhen Hao, Liu Liu, Jiayu Wan
  Asymptotic-preserving semi-Lagrangian discontinuous Galerkin schemes for the Boltzmann equation
  arXiv
• Wenyong Gan, Qi Ye, Xiaofeng Cai
  Kernel-based WENO schemes for hyperbolic conservation laws
  (special issue in honor of the 80th birthday of Robert Schaback)
• Xiaofeng Cai, Haicheng Zhang
  A conservative semi-Lagrangian discontinuous Galerkin method for the two-dimensional linear convection-diffusion equation on unstructured meshes