纪丽洁


纪丽洁


职称/职务:讲师

邮箱:lijieji AT shu.edu.cn


研究领域参数化偏微分方程的模型降阶方法;数据和物理信息融合的模型降阶方法;电荷输运问题的理论和数值分析

教育经历与工作经历

2023/10-至今, 上海大学,数学系,讲师

2021/5-2023/10, 上海交通大学 数学科学学院,吴文俊助理教授(博士后)

2015/9-2021/6, 上海交通大学 数学科学学院,数学,博士,导师:徐振礼教授

2019/9-2020/9,马萨诸塞大学 达特茅斯分校,CSC博士联合培养,合作导师:陈焱来教授

2020/1-2020/5, 布朗大学 访问学者

2011/9-2015/6,中南大学 数学与统计学院,数学与应用数学,学士

代表性科研项目

1.中国博士后科学基金第70批面上资助项目,2021M7021412021-052023-09,已结题,主持。

2. 2021年上海市超级博士后奖励资助

3. 国家自然科学基金委员会,青年科学基金项目,No.122014032023-01-012025-12-31,在研,主持。

代表性论著

Preprint

1. Y. Ji, L. Ji*, Z. Mao* and Z. Xu, Galerkin Neural Networks-based reduced basis method for parametric differential equations, submitted, 2025.

2. T. Zhu, H. Zhou, K. Jin, X. Xu, Q. Yuan and L. Ji*, Bayesian optimization by kernel regression and density-based exploration, submitted, 2025.


Published:

3. L. Ji, Z. Peng and Y. Chen, AAROC: Reduced over-collocation method with adaptive time partitioning and adaptive enrichment for parametric time-dependent equations, Num. Meth. Part. Diff. Equ., 41(2025), e70031.

4. K. Jin, T. Zhu, H. Zhou, X. Xu, Q. Yuan and L. Ji*, Bayesian-optimized progressive widening via kernel regression for Monte Carlo tree search in continuous action spaces, International Federation of Automatic Control (IFAC), 59-20 (2025) 1291–1296.

5. Y. Ji, L. Ji*, Y. Chen and Z. Xu, MCMS-RBM: Multi-component multi-state reduced basis method toward rapid generation of phase diagrams for the Lifshitz-Petrich model, SIAM J. Sci. Comput., 46(2024), B785-B805.

6. L. Ji*, Z. Xu, and S. Zhou, Asymptotic analysis on charging dynamics for stack-electrode model of supercapacitors. Proc. R. Soc. A, 479(2023), 20230044.

7. L. Ji, Z. Yang, Z. Li, D. Wu, S. Jin, and Z. Xu, An asymptotic-preserving and energy-conserving Particle-In-Cell method for Vlasov-Maxwell equations. J. Math. Phys., 64(2023), 063503.

8. Y. Chen, L. Ji*, and Z. Wang, A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations. J. Comput. Phys., 466(2022), 111412.

9. Y. Chen, S. Gottlieb, L. Ji, and Y. Maday, An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. J. Comput. Phys., 444(2021), 110545.

10. Y. Chen, L. Ji, A. Narayan and Z. Xu, L1-based reduced over-collocation and hyper reduction for steady state and time-dependent nonlinear equations. J. Sci. Comput., 87(2021), 10.

11. L. Ji, Y. Chen and Z. Xu, A reduced basis method for the nonlinear Poisson-Boltzmann equation. Adv. Appl. Math. Mech., 11(2019), 1200-1218.

12. L. Ji, P. Liu, Z. Xu and S. Zhou, Asymptotic analysis on dielectric boundary effects of modified Poisson-Nernst-Planck equations. SIAM J. Appl. Math., 78(2018), 1802-1822.

*: (共同)通讯作者

课题组学生(硕博)

1. 朱梦婷(硕士,2025-).研究方向:参数化偏微分方程的模型降阶算法


最后更新日期:2026.1




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