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] W.P. Bu, Y.F. Tang & J.Y. Yang, Galerkin Finite Element Method for Two-Dimensional Riesz Space Fractional Diffusion Equations, Journal of Computational Physics, 276, 26-38 (2014), http://dx.doi.org/10.1016/j.jcp.2014.07.023.
  [3] 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.
  [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, S.D. Wu & Y.F. Tang, Error Analysis Based on Inverse Modified Differential Equations for Discovery of Dynamics Using Linear Multistep Methods and Deep Learning, SIAM Journal on Numerical Analysis, 62(5), 2087-2120 (2024), https://doi.org/10.1137/22M152373X. 

• Contact information：

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