Yifa Tang,  Professor

• Research direction：

  Symplectic Algorithms for Hamiltonian Systems, Numerical Analysis of Fractional Differential Equations with Applications

• Representative work：

  [1] Y.F. Tang, The Symplecticity of Multi-Step Methods, Computers & Mathematics with Applications, 25(3), 83-90 (1993), https://doi.org/10.1016/0898-1221(93)90146-M.
  
  [2] B.B. Zhu, R.L. Zhang, Y.F. Tang, X.B. Tu & Y. Zhao, Splitting K-symplectic methods for non-canonical separable Hamiltonian problems, Journal of Computational Physics, 322, 387-399 (2016), http://dx.doi.org/10.1016/j.jcp.2016.06.044.
  
  [3] P.Z. Jin, Z. Zhang, A.Q. Zhu, Y.F. Tang & G.E. Karniadakis, SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems, Neural Networks, 132, 166-179 (2020), https://doi.org/10.1016/j.neunet.2020.08.017.
  
  [4] P.Z. Jin, Y.F. Tang & A.Q. Zhu, Unit triangular factorization of the matrix symplectic group, SIAM Journal on Matrix Analysis and Applications, 41(4), 1630-1650 (2020), https://doi.org/10.1137/19M1308839.
  
  [5] A.Q. Zhu, P.Z. Jin, B.B. Zhu & Y.F. Tang, On Numerical Integration in Neural Ordinary Differential Equations, Proceedings of the 39th International Conference on Machine Learning, PMLR 162, 27527-27547 (2022), https://proceedings.mlr.press/v162/zhu22f.html.

• Contact information：

  Office：Room 712, South Building Telephone：0086-10-82541923 Email：tyf@lsec.cc.ac.cn