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Journal and Proceeding Papers:

      Submitted:

    1. R. Li, Y.X. Lu and Y.L. Wang. A highly efficient asymptotic preserving IMEX method for the quantum BGK model. Submitted, 2023. [arXiv]
    2. R. Li, W.M. Li, S.T. Liang, Y.H. Shao, M. Tang and Y.L. Wang. An asymptotic-preserving method for the three temperature radiative transfer equation. Preparation, 2023.
    3. Z.N. Cai, Y.L. Wang and T.A. Yin. Iterative methods for the steady-state Boltzmann equation with quadratic collision term. Submitted, 2023. [arXiv]

      4. Published:

    4. C. Liu, W.M. Li Y.L. Wang, P. Song, K. Xu. An implicit gas-kinetic wave-particle method for radiative transport process. Physics of Fluids, 35, 112013, 2023.
    5. P. Zhang, Y.L. Wang, Z.N. Zhou. A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules. Accepted by Communications in Computational Physics, 2023 [arXiv:2305.00275]
    6. Z.Y. Li, Y.L. Wang, H.S. Liu, Z.D. Wang and B. Dong. Solving Boltzmann equation with neural sparse representation. Accepted by SIAM Journal on Scientific Computing, 2023 [arXiv:2301.09233]
    7. R. Li, Y.X. Lu and Y.L. Wang. Hermite spectral method for the inelastic Boltzmann equation. Physics of Fluids, 35, 102001, 2023.
    8. Z.Y. Li, B. Dong and Y.L. Wang. Learning invariance preserving moment closure model for Boltzmann-BGK equation. Communications in Mathematics and Statistics, 11, 59-101, 2023
    9. T.A. Yin, H.X. Zhong and Y.L. Wang. Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system. Journal of Computational Physics, 475(15):111853, 2023.
    10. Y.L. Wang and J. Xu. $Q$-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints. Journal of Scientific Computing, 94(9), 2023.
    11. R. Li, Y.X. Lu, Y.L. Wang and H.X. Xu. Hermite spectral method for multi-species Boltzmann equation. Journal of Computational Physics, 471(15):111650, 2022
    12. J.X. Fu, W.M. Li, P. Song and Y.L. Wang. An asymptotic-preserving IMEX method for nonlinear radiative transfer equation.Journal of Scientific Computing, 92(27), 2022.
    13. Z.N. Cai and Y.L. Wang. Numerical solver for the Boltzmann equation with self-sdaptive collision operators. SIAM Journal on Scientific Computing, 44(2), 10.1137/21M1398495, 2022.
    14. W.M. Li, P. Song and Y.L. Wang. A hybrid moment method for multi-scale kinetic equations based on maximum entropy principle. Journal of Scientific Computing, 89(35), 2021.
    15. R. Li, Y.N. Ren and Y.L. Wang. Hermite spectral method for Fokker-Planck-Landau equation modeling collisional plasma. Journal of Computational Physics, 434(1):110235, 2021.
    16. R. Li, Y.L. Wang and Y.X. Wang. Approximation to singular quadratic collision modeling Fokker-Planck-Landau equation. SIAM Journal on Scientific Computing, 42(3), pp . B792-B815, 2020.
    17. Z.N. Cai and Y.L. Wang. R13 equations for inverse power law models. Journal of Fluid Mechanics, 894, A12, 2020.
    18. Z.N. Cai, Y.W. Fan and Y.L. Wang. Burnett spectral method for the spatially homogeneous Boltzmann equation. Computers & Fluids, 300(20), pp. 104456, 2020.
    19. Z.N. Cai, Z.C. Hu and Y.L. Wang. Numerical simulation of micro-flows using Hermite spectral methods. SIAM Journal on Scientific Computing, 42 (1), pp. B105-B134, 2020.
    20. R. Li, Y.L. Wang and C.B. Yao. A robust Riemann solver for multiple hydro-elastoplastic solid mediums. Advances in Applied Mathematics and Mechanics, 12, pp. 212-250, 2020.
    21. Y.L. Wang and Z.N. Cai. Approximation of the Boltzmann collision operator based on Hermite spectral method. Journal of Computational Physics, 397, pp. 108815, 2019.
    22. Y.N. Di, R. Li, Z.Z Kou and Y.W. Fan and Y.L. Wang. Filtered hyperbolic moment method in Vlasov equation. Journal of Scientific Computing, 79(2), pp. 969-991, 2019.
    23. Z.N. Cai, and Y.L. Wang. Suppressing recurrence in advection equations. SIAM Journal on Numerical Analysis, 56 (5), pp. 3144-3168, 2019.
    24. Y.L. Wang and S.D. Zhang. Solving Vlasov-Poisson-Fokker-Planck equations using NRxx method. Communication in Computational Physics, 21 (3), pp. 782-807, 2017.
    25. Z.N. Cai, R. Li and Y.L. Wang. Solving Vlasov equations using NRxx method. SIAM Journal on Scientific Computing, 35 (6), pp. A2807-A2831, 2014.
    26. Z.C. Hu, R. Li, T. Lu, Y.L. Wang and W.Q. Yao. Simulation of an n+-n-n+ diode by using globally-hyperbolically-closed high-order moment models. Journal of Scientific Computing, 59 (3), pp. 761-774, 2014.
    27. R. Li, T. Lu,Y.L. Wang and W.Q. Yao. Numerical validation for high order hyperbolic moment system of Wigner equation. Communications in Computational Physics, 15 (3), pp. 569-595, 2014.
    28. Z. N. Cai, Y.W. Fan, R. Li, T. Lu and Y.L. Wang. Quantum hydrodynamic model by moment closure of Wigner equation. Journal of Mathematical Physics, 53 (10), pp. 103503, 2012.
    29. Z.N. Cai, R. Li and Y.L. Wang. Numerical regularized moment method for high mach number flow. Communication in Computational Physics, 11 (5), pp. 1415-1438, 2012.
    30. Z.N. Cai, R. Li and Y.L. Wang. An efficient nrxx method for Boltzmann-BGK equation. Journal of Scientific Computing, 50, pp. 103-119, 2012.