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Journal and Proceeding Papers:

      Submitted:

    1. G.W. Liu, S. Tan and Y.L. Wang. The unified gas kinetic wave-particle method for the neutron transport equation. Submitted, 2025. [arXiv]
    2. J.Wu, Y.L. Wang and S. H. Shao. An adaptive Hermite spectral method for the Boltzmann equation. Submitted, 2025. [arXiv]
    3. J.T. Jiang, Y.L. Wang, Y.F. Wang, and H.H. Xie. FieldTNN-based machine learning method for Maxwell eigenvalue problems. Submitted, 2024. [arXiv]
    4. G.W. Liu, L. Liu and Y.L. Wang. A bi-fidelity method for the uncertain Vlasov-Poisson system near quasineutrality in an asymptotic-preserving PIC framework. Submitted, 2024. [arXiv]
    5. P. Zhang and Y.L. Wang. Neural network representation of microflows with BGK model. Submitted, 2024. [arXiv]
    6. 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. Submitted, 2024. [arXiv]

      7. Published:

    7. T.A. Yin, Z.N. Cai and Y.L. Wang. A fast Fourier spectral method for the linearized Boltzmann collision operator. Accepted, SISC, 2025. [arXiv]
    8. J.X. Fu, J. Cheng, W.M. Li, T. Xiong and Y.L. Wang. An asymptotic-preserving IMEX PN method for the gray model of the radiative transfer equation. Journal of Scientific Computing, 103(2), 2025.
    9. R. Li, Y.X. Lu and Y.L. Wang. A highly efficient asymptotic preserving IMEX method for the quantum BGK model. Journal of Computational Physics, 522(1): 113619, 2025.
    10. Z.Y. Li, Y.L. Wang, H.S. Liu, Z.D. Wang and B. Dong. Solving Boltzmann equation with neural sparse representation. SIAM Journal of Scientific Computing, Vol. 46, Iss. 2, 2024.
    11. 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. Communication in Computational Physics, 35, pp. 70-10, 2024.
    12. 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.
    13. R. Li, Y.X. Lu and Y.L. Wang. Hermite spectral method for the inelastic Boltzmann equation. Physics of Fluids, 35, 102001, 2023.
    14. 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
    15. 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.
    16. 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.
    17. 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
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. Z.N. Cai and Y.L. Wang. R13 equations for inverse power law models. Journal of Fluid Mechanics, 894, A12, 2020.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
    28. 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.
    29. Z.N. Cai, and Y.L. Wang. Suppressing recurrence in advection equations. SIAM Journal on Numerical Analysis, 56 (5), pp. 3144-3168, 2019.
    30. 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.
    31. 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.
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. 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.