师资队伍
计算数学
基本信息
计算数学
特聘研究员
宁静楼212
在职
程青
教育经历

2013年09月-2018年12月厦门大学(硕博连读)

工作经历

2019年01月-2021年01月美国伊利诺伊理工大学-访问助理教授;

2021年01月-2022年12月美国普渡大学-访问助理教授。

2023年03月-至今 同济大学

研究方向

偏微分方程数值解、谱方法、计算流体力学、计算生物学和计算材料科学、人工智能和机器学习等。

教学情况

2023年秋季本科生课程复变函数和积分变换,2024年秋季研究生课程数值分析和本科生课程计算方法,2025年秋季研究生课程数值分析和本科生课程计算方法。

科研项目

(1).复杂非线性系统的保结构算法,青年科学基金,国家自然科学基金委员会,30万元,2024-01-01至2026-12-31,在研,主持;

(2).中央高校基本科研业务费,青年培育项目,150万元,2023-01-01至2028-12-31,在研,主持;

(3).相场模型的高精度算法设计及应用,重大研究计划,国家自然科学基金委员会,200万元,2017-01-01至2019-12-31,结题, 参与;

(4).多相复杂材料的相场模型,国际(地区)合作与交流项目,国家自然科学基金委员会,166万元,2017-01-01至2019-12-31,结题, 参与。

(5).Efficient and accurate structure preserving schemes for complex nonlinear systems, Disciplinary Research Program,美国空军科学研究基金(AFOSR), 246万元,2020-09至2023-09,在研, 参与;

(6).Design and Analysis of Highly Efficient Algorithms for Complex Nonlinear Systems, Disciplinary Research program,美国自然科学基金(National Science Foundation),190万元,2020-08至2023-07,在研, 参与;

(7).Multi-Scale Modeling and Numerical Methods for Charge Transport in Ion Channels, Disciplinary Research Program,美国自然科学基金(National Science Foundation),101万元,2020-08至2023-07, 在研, 参与;

(8).Topics in Complex Fluids and Biophysiology: the Energetic Variational Approaches, Disciplinary Research Program,美国自然科学基金(National Science Foundation),260万元,2017-09至2021-06,结题, 参与。


论文情况

(1)Qing Cheng, Xiaofeng Yang and Jie Shen* (July 2017) Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. Journal of Computational Physics,Volume 341, pp.44-60.

(2)Qing Cheng, Xiaofeng Yang and Jie Shen*(March 2019)Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach. Journal of Scientific Computing, (ESI高被引文章), pp.1467-1487.

(3). Qing Chengand Jie Shen*(November 2018)Multiple scalar auxiliary variable (MSAV) approach and its ap- plication to the phase field vesicle membrane model. SIAM Journal on Scientific Computing, (ESI高被引文章), pp.A3982-A4006.

(4)Qing Cheng, Chun Liu and Jie Shen* (August 2020)A new Lagrange multiplier approach for gradient flows. Computer Methods in Applied Mechanics and Engineering, Volume 367.

(5). Qing Cheng, Chun Liu and Jie Shen* (October 2020)A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One- dimensional case. Journal of Computational Physics, Volume 419.

(6). Qing Chengand Jie Shen* (August 2020)Global constraints preserving SAV schemes for gradient flows. SIAM Journal on Scientific Computing,Volume 42, Issue 4, pp.A2489-A2513.

(7). Qing Cheng*, Chun Liu and Jie Shen (March 2021)Generalized SAV approaches for gradient systems. Journal of Computation and Applied mathematics, Volume 394, Issue 1.

(8). Zhenlin Guo,Qing Cheng*, Ping Lin, Chun Liu and John Lowengrub (September 2021)Second order approximation for quasi-incompressiable Navier-Stokes Cahn-Hilliard equation with variable density and viscosity. Journal of Computational Physics, Volume 448.

(9). Qing Cheng*, Poruya Delafouz, Jie Liang, Chun Liu and Jie Shen (January 2022)Modeling and simulations of nuclear architecture reorganization process using a phase field approach. Journal of Computational Physics, Volume 449.

(10). Qing Cheng and Cheng Wang* (December 2021)Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation, Advances in Applied Mathematics and Mechanics. Advances in Applied Mathematics and Mechanics, (ESI高被引文章),Volume 13, Issue 6, pp.1318-1354.

(11). Qing Cheng* and Jie Shen (March 2022)A new Lagrange multiplier approach for constructing structure preserving schemes, I. positivity preserving.Computer Methods in Applied Mechanics and Engineering,Volume391.

(12). Qing Cheng* and Jie Shen (May 2022) A new Lagrange multiplier approach for constructing structure preserving schemes, II. bound-preserving. SIAM Journal on Numerical Analysis,(ESI高被引文章),Volume 60, Issue 3, pp.970-998.

(13). Qing Chengand Jie Shen (May 2023)Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches,SIAM Journal on Scientific Computing,Volume 45, Issue 2, pp.A530-A553.

(14). Qing Cheng, Qianqian Liu, Wenbin Chen, and Jie Shen. A new flow dynamic approach for wasserstein gradient flows. Journal of Computational Physics,524:113696, 2025.

(15). Qing Cheng, Jie Shen and Cheng Wang ; Unique solvability and error analysis of the Lagrange multiplier approach for gradient flows,SIAM Journal On Numerical Analysis,63(2): 772-799,2025.

(16). Qing Cheng and Jie Shen, Corrigendum: A new Lagrange multiplier approach for constructing structure preserving schemes, II. bound preserving, SIAM Journal on Numerical Analysis, No.6, 2784-2787,2024.

(17). Can Huang, Huangxin Chen, Qing Cheng and Lijun Chen, Efficient positivity preserving schemes for stochastic complex systems.Journal of Computation and Applied mathematics, 462, 116464, 2025.

(18). Qing Cheng, Jing Guo and Dong Wang, Computing optimal partition problems via Lagrange multiplier approach, Journal of Scientific Computing, 102, No.1, 22, 2025.

(19). Ziyao Yu, Jie Shen, Changyou Wang and Qing Cheng, A Decoupled Structure Preserving Scheme for the Poisson-Nernst-Planck Navier-Stokes Equations and its Error Analysis. Journal of Scientific Computing , 104(3):1-45, 2025.

(20). Qianqian Liu, Wenbin Chen, Jie Shen and Qing Cheng. Adaptive time steppingflow dynamic approach for gradient flows. Journal of Computational Physics,accepted,2025.

奖励情况

本人曾经荣获如下奖励:

(1). 2011年高教社杯全国大学生数学建模竞赛本科组二等奖;

(2). 2012年高教社杯全国大学生数学建模竞赛本科组一等奖;

(3). 第九届“华为杯”全国研究生数学建模竞赛二等奖;

(4). 多次获得国家奖学金。

国际会议报告情况

本人在如下的会议,研讨会做了学术报告:

(1).SIAM conference on Analysis of Partial differential Equations, La Quinta, California, USA, December 11-14, 2019;
(2).2018 (China-Japan-Korea) A3 Fluid Mechanics Workshop, Zhejiang University, Hangzhou, China, March 9-11, 2018;
(3).SIAM Great Lake Section Annual Meeting, University of Michigan, USA, April 27-28, 2019;
(4).Midwest Numerical Analysis day at Illinois Institute of Technology in Chicago, IL, USA, May 05-06 2019;
(5).Midwest numerical analysis day at Missouri University of Science and Technology, October 29-30, 2021.
(6) Constructing structure preserving schemes via Lagrange multiplier approach, The 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023),Waseda University, Tokyo, 2023-08-20至2023-08-25(会议报告)。
(7) Numerical approximations for Wasserstein gradient flows in Lagrangian coordinate based on a regularized flow dynamic approach,第二十一届中国工业与应用数学学会年会(CSIAM 2023),云南,昆明,2023-10-12至2023-10-15(会议报告)。
(8) Numerical approximations for Landau-Lifshitz equations,第十三届中国数学会计算数学年会,南京师范大学,江苏, 2023-07-15至2023-07-19(会议报告)。
(9)Modeling and simulation of cell nuclearar chitecture reorganization process via phase field approach,第十一届有限元会议,北京大学重庆大数据研究院,重庆,2023-09-20至2023- 09-24(会议报告)。
(10) A new flow dynamic approach for wasserstein gradient flows,International Conference on Scientific Computation and Differential Equations(SciCADE 2024),新加坡,新加坡国立大学,2024-07-15至2024- 07-19(会议报告)。
(11) A new flow dynamic approach for wasserstein gradient flows,第九届谱方法及其应用学术研讨会,广东,深圳,哈尔滨工业大学(深圳),2024-11-29至2024-12-02(会议报告)。
(12) A new flow dynamic approach for wasserstein gradient flows,计算数学与机器学习前沿论坛,江西,南昌,南昌大学,2024-03-29至2024-04-01(会议报告)。
(13) A new flow dynamic approach for wasserstein gradient flows,谱和高阶方法的理论及其应用研讨会,上海,上海师范大学,2024-10-19至2024-10-21(会议报告)。
(14) A new flow dynamic approach for wasserstein gradient flows,先进计算方法进展研讨会,云南,昆明,云南财经大学,2024-04-04至2024-04-07(会议报告)。
(15) Modeling and simulation of cell nuclear architecture reorganization process via phase field approach,Joint Meeting of the Asian Conference for Mathematical Biology and the Annual Meeting of the Japanese Society for Mathematical Biology,日本,京都,京都大学,2025-07-07至2025-07-11(会议报告)。
(16) Adaptive time stepping flow dynamic approach for gradient flows,第十届中国数学会计算数学年会,湖南,长沙,湖南师范大学,2025-08-17至2025-08-21(会议报告)
(17)Numerical approximations for Landau-Lifshitz equations,14th International Conference on Spectral and High Order Methods (ICOSAHOM 2023), Yonsei University, Seoul, 2023-08-14至2023-08-18(会议报告)。