微分方程数值解中的：低正则性问题，多尺度问题，平衡态计算；
计算物理、社会科学中的：机理融合的人工智能方法的发展与应用。

• [1].  On action ground states of defocusing nonlinear Schrodinger equations.  Mathematical Models and Methods in Applied Sciences.  35.  39-74.  2025. 
• [2].  Computing ground states of Bose-Einstein condensation by normalized deep neural network.  Journal of Computational Physics.  113486.  2025. 
• [3].  Solving initial-terminal value problem of time evolutions by a deep least action method: Newtonian dynamics and wave equations.  Physical Review E.  110.  045311.  2024. 
• [4].  Comparison of different discontinuous Galerkin methods based on various reformulations for generalized gKdV equation: soliton dynamics and blowup.  Computer Physics Communications.  109180.  2024. 
• [5].  Fourier pseudospectral methods for the variable-order space fractional wave equations.  preprint.  2024. 

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