Xiaofeng Cai
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Seleted Journal Papers

  1. 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

  2. Hongtao Liu, Xiaofeng Cai, Yong Cao, Giovanni Lapenta, An efficient energy conserving semi-Lagrangian kinetic scheme for the Vlasov-Ampere system , Journal of Computational Physics, 492, 112412, 2023 PDF

    文章导读 文章导读2

  3. 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

  4. Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu and 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 (2022): 114973.

    Talk

  5. 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.

  6. Xiaofeng Cai, Wei Guo and 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).

  7. Xiaofeng Cai, Jing-Mei Qiu and Yang Yang, An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics , Journal of Computational Physics, 439, 110392, 2021.

  8. Xiaofeng Cai, Sebastiano Boscarino and 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 (2021), p. 110036.

  9. Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu and 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.

  10. Jiajie Chen, Xiaofeng Cai, Jianxian Qiu and 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.

  11. 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.

  12. Leitao Chen, Sauro Succi, Xiaofeng Cai, and Laura Schaefer, Semi-Lagrangian implicit Bhatnagar- Gross-Krook collision model for the finite-volume discrete Boltzmann method, Physical Review E, 101.6 (2020): 063301.

  13. Yang Yang, Xiaofeng Cai and 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.

  14. Mingchang Ding, Xiaofeng Cai,Wei Guo and Jing-Mei Qiu, Asemi-Lagrangian discontinuous Galerkin (DG) - localDGmethod for solving convection-diffusion equations, Journal of Computational Physics, 409 (2020): 109295.

  15. Xiaofeng Cai, Wei Guo and 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 (2019): 1111-1134.

  16. Xiaofeng Cai, Wei Guo and Jing-Mei Qiu, A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting, Journal of Computational Physics, 354 (2018): 529-551.

  17. Xiaofeng Cai, Jianxian Qiu and Jing-Mei Qiu, Finite volume HWENO schemes for nonconvex conservation laws, Journal of Scientific Computing, 75.1 (2018): 65-82.

  18. Xiaofeng Cai,Wei Guo and Jing-Mei Qiu, A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations, Journal of Scientific Computing, 73.2-3 (2017): 514-542.

  19. Xiaofeng Cai, Jun Zhu and Jianxian Qiu, Hermite WENO schemes with strong stability preserving multi-step temporal discretization methods for conservation laws, Journal of Computational Mathematics, 35 (2017): 19-40.

  20. Xiaofeng Cai, Jianxian Qiu and Jing-Mei Qiu, A conservative semi-Lagrangian HWENO method for the Vlasov equation, Journal of Computational Physics, 323 (2016): 95-114.

  21. Xiaofeng Cai, Xiangxiong Zhang and Jianxian Qiu, Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations, Journal of Scientific Computing, 68 (2016): 464-483.

Preprints

Please send any comments or suggestions to xfcai@bnu.edu.cn