张凯

• 性别：男

  职称：教授

  所在系别：计算数学系

  是否博导：是

• 办公地点：禁漫天堂 中心校区，伍卓群楼630

  办公电话：0431-85160000

  电子邮箱：zhangkaijinmantop10.com

• 随机偏微分方程数值解、机器学习求解反散射问题

• 本科生课程：科学建模及其实现
  研究生课程：机理与数据融合的数值方法

• 2003.09-2008.06 香港中文大学数学系 联合培养博士研究生
  2000.09-2006.06 禁漫天堂 博士研究生
  1999.09-2000.06 禁漫天堂 硕士研究生
  1995.09-1999.06 禁漫天堂 本科

• 2006.09-2011.09, Lecturer, JLU
  2008.07-2008.08, Visiting Scholar, Department of Mathematics, CUHK
  2008.08-2010.07, Postdoc, MSU
  2009.08, Visiting Scholar, Department of Mathematics, IWU
  2010.04, Visiting Scholar, Department of Mathematics, AU
  2011.09-2015.09, Associate Professor, JLU
  2014.07-2014.08, Visiting Professor, Department of Mathematics, HKBU
  2015.09- 2020.05, Professor, JLU
  2020.06- Now, TangKuang Professor, JLU
  

• Principal Investigator:
  [1] 2006-2007, The Youth Foundation, Jilin University.
  [2] 2008-2010, NSF of China (No.10701039).
  [3] 2011-2013, Forefront of science and interdisciplinary innovation projects of Jilin University.
  [4] 2012-2013, Open Project Program of the State Key Lab of CAD & CG(No.A1302).
  [5] 2014-2015, Scientific research foundation for the returned overseas Chinese scholars.
  [6] 2014-2015, Open project program of the Jilin provincial science and technology department.
  [7] 2015.01-2018.12, NSF of China (No.11471141).
  [8] 2015.01-2017.12, The basic research of the science and technology development program of Jilin province (No.20150101058JC).
  [9] 2018.01-2019.12, The key laboratory of symbolic computation and knowledge engineering of ministry of education, Jilin University (No.93K172018Z01).
  [10] 2019.01-2022.12, NSF of China (No.11871245).
  [11] 2023.01-2026.12, NSF of China (No.12271207).
  [12] 2024.12-2029.12, National Key Research and Development Plan (No.2024YFA1012302), Project II.
  [13] 2025.8-2029.7, National Science and Technology Major Project for Deep Earth Probe and Mineral Resources Exploration (No. 2025ZD1008503), the third subproject of Project III.
  
  Joined:
  [1] 2010-2012, NSF of China (No.10971082), second member.
  [2] 2010-2013, NSF of China (No.11076014), second member.
  [3] 2010-2013, NSF of China (No.11071103), second member.
  [4] 2016-2018, NSAF of China (No.U153010036), third member.
  [5] 2017.07-2021.06, National Key Research and Development Plan (No.2017YFC06016), subproject.
  [6] 2017.07-2021.06, National Key Research and Development Plan (No.2017YFC06022), subproject.
  [7] 2021.05-2025.04, The fundamental research funds for the central universities, subproject.

• Selected SCI paper (Total 71 paper)
  Mathematics:
  [1] H.Y. Liu and K. Zhang, Multi-symplectic Runge-Kutta type methods for Hamiltonian wave equations. IMA J. Numer. Anal., 26, 2006, 252-271.
  [2] Y.P. Lin, K. Zhang and J. Zou, Studies on some perfectly matched layers for one-dimensional time-dependent systems. Adv. Comput. Math., 30, 2009, 1-35.
  [3] Y.L. Hao, F.D. Kang, J.Z. Li and K. Zhang, A numerical method for Maxwell's equations with random interfaces via shape calculus and pivoted low-rank approximation. J. Comput. Phys., 371, 2018, 1-18.
  [4] G. Bao, Y.Z. Cao, Y.L. Hao, and K. Zhang, A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation. J. Sci. Comput., 77(1), 2018, 419-442.
  [5] M. Li, L.C. Zhu, J.Z. Li and K. Zhang, Efficient optimal design of interconnected anisotropic porous structures using extended triply periodic minimal surfaces. J. Comput. Phys., 425, 2021, 109909.
  [6] Y. Gao, H.Y. Liu, X.C. Wang and K. Zhang, On an artificial neural network for inverse scattering problems. J. Comput. Phys., 448, 2022, 110771.
  [7] Y. Gao, H.Y. Liu, X.C. Wang and K. Zhang, A Bayesian scheme for reconstructing obstacles in acoustic waveguides. J. Sci. Comput., 97(3), 2023, 53.
  [8] Y. Jiang, H.Y. Liu, J.C. Zhang and K. Zhang, Spectral patterns of elastic transmission eigenfunctions: boundary localization, surface resonance and stress concentration. SIAM Appl. Math., 83(6), 2023, 2469-2498.
  [9] Y. Jiang, H.Y. Liu, T.H. Ni and K. Zhang, Inverse problems for nonlinear progressive waves. Calculus of Variations and Partial Differentia Equations, 64, 2025, 116.
  [10] Y. Jiang, H.Y. Liu, T.H. Ni and K. Zhang, Inverse problems for a quasilinear hyperbolic equation with multiple unknowns. J. Functional Analysis, 289(7), 2025, 110986.
  
  Geological exploration:
  [1] C. Zhang, D.N. Huang, K. Zhang, P.T. Pu and P. Yu, Magnetic interface forward and inversion method based on Pade approximation. Applied Geophysics, 13(4), 2016, 712-720.
  [2] Y.J. Ji, Y.H. Zhang, Y.B. Yu, K. Zhang, J. Lin, D.S. Li, and Q. Wu, Inversion method of a highly generalized neural network based on Rademacher complexity for rough media GATEM data. Transactions on Geoscience and Remote Sensing, 60, 2022, 1-12.

• Current Ph.D. : Jingrong Yang, Zhiyan Li.
  Former Master: Yongcun Song (AP, NTU).
  Former Ph.D. : Yu Gao (Post-doct, HKUST), Yan Jiang (Post-doct, CityU), Xuechen Mu(Post-doct, SUST).
  Former Post-doct : Qiong Wu (AP, CIEE, JLU).
  Former Ph.D. as co-advise : B.X. Zhu (AP, JLU), Haiming Song (AP, JLU), Jingshi Li (AP, NUIST), Jiachuan Zhang (AP, NUT), Yongle Hao (AP, ZKNU), Fuchang Huo(Post-doct, HKPolyU).