交互粒子系统和传染病动力学
1. Y. Xiong, C. Wang, Y. Zhang. Interacting particle models on the impact of spatially heterogeneous human behavioral factors on dynamics of infectious diseases. PLoS Comput. Biol. 2024, 20(8): e1012345.
量子动力学的随机粒子方法
2. Y. Xiong and S. Shao. Overcoming the numerical sign problem in the Wigner dynamics via adaptive particle annihilation. SIAM J. Sci. Comput., 2024, 46(2), B107-B136.
3. S. Shao and Y. Xiong, Branching random walk solutions to the Wigner equation, SIAM J. Numer. Anal., 2020, 58(5): 2589-2608.
4. S. Shao and Y. Xiong, A branching random walk method for many-body Wigner quantum dynamics, Numer. Math. Theor. Meth. Appl., 2019, 12(1), 21-71.
量子动力学的高精度格式
5. Y. Xiong, Y. Zhang, S. Shao. A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner–Coulomb Dynamics. SIAM J. Sci. Comput., 2023, 45(6), B906-B931.
6. Y. Xiong, Z. Chen and S. Shao, An advective-spectral-mixed method for time-dependent many-body Wigner simulations, SIAM J. Sci. Comput., 2016, 38(4), B491-B520.
地震波模拟
7. X. Guo, S. Jiang, Y. Xiong, J. Zhang. Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation. J. Comput. Phys., 2024, 113326.
8. Y. Xiong and X. Guo, A short-memory operator splitting scheme for constant-Q viscoelastic wave equation, J. Comput. Phys., 2022, 449: 110796.