早期研究工作聚焦复杂动力系统问题的计算（代表作是F. Bai, A.Spence, A.M.Stuart, The numerical computation of heteroclinic connections in systems of gradient partial differential equations, SIAM J. Appl. Math. vol.53(1993), 743-769）；近期研究工作关注高复杂度矩阵计算问题（代表作是Y. Huo, H. Liang, S. Liu, F. Bai, Computing monomer-dimer systems through matrix permanent, Phys. Rev. E, 77(1), 016706, 2008.）和数据驱动的问题建模与算法（代表作是K.Sun, F.Bai，Mining weighted association without preassigned weights, IEEE Trans. Knowl. Data
Eng.
, 20(4), 489-495, 2008.）。
