张萌萌

博士，讲师

张萌萌，女，汉族，1993年5月出生，博士，讲师。

【研究领域】

偏微分方程反问题的理论、算法及应用；深度学习反问题.

【主讲课程】

本科生课程：复变函数与积分变换，概率论与数理统计

研究生课程：数值分析

【研究生招生学科方向】

硕士：计算数学

【科研项目】

[1] 国家自然科学基金青年项目（C类）（No.12301537），“基于两类扩散过程的参数反演及应用”，2024.01-2026.12，主持。

[2] 河北省自然科学基金青年项目（No. A2023202024），“基于反常扩散过程的介质成像及应用”，2023.01-2025.12，主持。

【代表性论文】

[1] M.M. Zhang, J.J. Liu*, Identification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observation, Computers and Mathematics with Applications, 78(10), 3375-3389, 2019.

[2] M.M. Zhang, J.J. Liu*, Recovery of non-smooth radiative coefficient from nonlocal observation by diffusion system, Journal of Inverse and Ill-Posed Problems, 28(3), 389-410, 2020.

[3] M.M. Zhang, J.J. Liu*, On the simultaneous reconstruction of Robin coefficient and space-dependent source term in a time-fractional diffusion equation, Inverse Problems, 37(7), 075008, 2021.

[4] Q. Wang, K. Liu, M.M. Zhang*, Numerical studies on the performance of the circular FRP-CFST stub column under axial compression, Journal of Reinforced Plastics and Composites, 41(9-10): 383-398, 2022.

[5] M.M. Zhang, Q.X. Li*, J.J. Liu*, On stability and regularization for data-driven solution of parabolic inverse source problems, Journal of Computational Physics, 474:111769, 2023.

[6] M.M. Zhang*, Z.D.Zhang, Solving the inverse potential problem in the parabolic equation by the deep neural networks method, 2024, CSIAM Transactions on Applied Mathematics, 5(4): 852-883, 2024.

[7] X. Cheng, Z.Y. Li*, M.M. Zhang, and X.Z. Zhang. On the convergence of PINNs for inverse source problem in the complex Ginzburg-Landau equation, Inverse Problems, 41, 125003,2025.

[8] Cunlong Sun, Mengmeng Zhang*, Zhidong Zhang. Data-Driven Method for Identifying the Dynamic Source in a Coupled Diffusion System from One Single Boundary Measurement. Accepted by CSIAM Transactions on Applied Mathematics, 2026.

【联系方式】

邮箱：mmzhang@hebut.edu.cn