主要从事偏微分方程数值解研究工作，具体研究内容包括：
谱方法的算法设计、数值分析和应用；
计算流体力学、计算材料科学；
保结构算法。
近期研究兴趣也包括机器学习和优化算法。
背景介绍
沈捷教授于1982年毕业于北京大学计算数学专业, 1983年公派赴法国巴黎十一大学留学, 于1987年获得博士学位后赴美国Indiana University从事博士后研究。1991年至2001年先后任美国 Pennsylvania State University 数学系助理教授，副教授，教授。2002年起任美国普度（Purdue) 大学数学系教授，2012年至2022年任普度大学计算与应用数学中心主任, 2023年被授予普度大学杰出教授。
沈捷教授在国际杂志上发表论文300余篇，并有三本专著, 其研究结果被国际同行广泛引用，在Google Scholar上被引用逾三万次。他于2009年被聘国家级高层次人才，2017年当选美国数学会 （AMS） Fellow，2020年当选国际工业与应用数学协会（SIAM）Fellow，2024年当选中国工业与应用数学会（CSIAM）会士。
沈捷教授在 research.com（https://research.com/scientists-rankings/mathematics）的2025全球数学家排名列第127位；在2024年斯坦福大学全球顶尖2%科学家排名（https://topresearcherslist.com/Home/Profile/764669）的数值与计算数学中列2024年影响第4位和职业生涯影响第9位。
研究领域
主要从事偏微分方程数值解研究工作，具体研究内容包括：
谱方法的算法设计、数值分析和应用；
计算流体力学、计算材料科学；
保结构算法。
近期研究兴趣也包括机器学习和优化算法。
教育背景
1983.9-1987.6：博士（数学），巴黎11大学数学系
1982.9-1983.5：法语培训， 北京语言学院
1978.10-1982.7：学士（数学），北京大学数学系
工作经历
May 2023–至今: Chair Professor and Dean of School of Mathematical Science, Eastern Institute of Technology, Ningbo, China.
Jan. 2012–Dec. 2022: Director, Center for Computational and Applied Mathematics, Purdue University.
Aug. 2002–Aug. 2023: Professor and Distinguished Professor, Department of Mathematics, Purdue University.
Aug. 2001–July 2002: Professor, Department of Mathematics, University of Central Florida.
Aug. 1991–July 2001: Assistant, Associate, and Full Professor, Department of Mathematics, The Pennsylvania State University.
Aug1987–Jul 1991: Postdoc and visiting assistant professor, Indiana University
学术兼职（部分）
Scientific Committee for the Conference Series, International Conference on High- Order and Spectral Methods (ICOSAHOM): Member 2014—; Chair, 2023—
Vice-President of the International Association of Mathematics and Computers in Simulation (IMACS), 2016—2025
Member of the editorial boards:
Co-editor-in-chief: Journal of Mathematical Study, 2014—
CSIAM Transaction on Applied Mathematics, 2020—
Communications in Applied Mathematics and Computation, 2019—
Applied Numerical Mathematics, 2015—
Communications in Mathematical Science, 2015—
Journal of Scientific Computing, 2009—
Mathematics of Computation, Jan. 2005—Jan. 2016
Communications in Computational Physics, 2005—
International Journal of Numerical Analysis and Modeling, 2004—
Discrete and Continuous Dynamical Systems, Series B, 2001—
获奖情况及荣誉
2025: 教育部科学研究优秀成果一等奖
国际基础科学大会“前沿科学奖”
2024：中国工业与应用数学会 (CSIAM) 会士
世界华人数学家大会杰出论文奖
首创的标量辅助变量（SAV）方法入选《2024研究前沿热度指数》全球数学领域的十大热点前沿
2020：国际工业与应用数学协会 (SIAM) Fellow
2017：美国数学会 (AMS) Fellow
2013：(Inaugural) Research Award, College of Science, Purdue University
2010：入选国家高层次人才计划
2009：入选教育部长江学者奖励计划
2008：Fulbright Award: McGill University Research Chair in Computational Methods for Partial Differential Equations
总体情况
发表学术论文300余篇，撰写三本专著：
1. Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations (by Mohsen Zayernouri, Li-Lian Wang, and George Krniadakis, Cambridge University Press, Nov. 2024).
2. Spectral Methods: Algorithms, Analysis and Applications (Springer Series in Computational Mathematics, V. 41) (by Jie Shen, Tao Tang and Li-Lian Wang, Springer, Aug. 2011).
3. Spectral and High-Order Methods with Applications (by Jie Shen and Tao Tang, Science Press of China, 2006).
Citations:
• Google Scholar ≥ 35, 000 with H-index 87
• Web of Science ≥ 20, 000 with H-index 74
• MathSciNet ≥ 14, 000 with H-index 58
A complete list of my publications (most are downloadable):
https://math.eitech.edu.cn/2026/0819/c2597a8599/page.htm
My publications on Google Scholar：
https://scholar.google.com/citations?user=6Rl6La8AAAAJ&hl=en
My publications on Web of Science：
https://www.webofscience.com/wos/author/record/1818595
10篇代表作：
1. F. Huang, J. Shen. Stability and error analysis of a second order consistent splitting scheme for the Navier-Stokes equations. SIAM J. Numer. Anal. 61:2408-2433, 2023.
2. Jie Shen, Jie Xu. Unconditional positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations, Numer. Math. 148 (3), 671-697, 2021.
3. Jie Shen, Jie Xu and Jiang Yang. A new class of efficient and robust energy stable schemes for gradient flows. SIAM Review, 61:474-506, 2019.
4. Sheng Chen, Jie Shen and Li-Lian Wang. Generalized Jacobi functions and their applications to fractional differential equations. Math. Comp. 85:1603-1638, 2016.
5. J Shen, X Yang. A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities. SIAM J. Sci. Comput. 32:1159-1179, 2010.
6. J.L. Guermond, P. Minev and Jie Shen. An Overview of projection methods for incompressible flows. Comput. Methods Appl. Mech. Eng. 195:6011-6045, 2006.
7. Chun Liu and Jie Shen. A Phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Physica D. 179:211-228, 2003.
8. J.L. Guermond and Jie Shen. Velocity-correction projection methods for incompressible flows. SIAM J. Numer. Anal. 41:112-134, 2003.
9. Jie Shen. Efficient spectral-Galerkin method I. direct solvers for second- and fourth-order equa- tions by using Legendre polynomials. SIAM J. Sci. Comput., 15:1489–1505, 1994.
10. Jie Shen. On error estimates of the projection methods for the Navier-Stokes equations: first-order schemes. SIAM J. Numer. Anal., 29:57–77, 1992.
