沈捷

讲席教授

数学科学学院院长

美国数学会会士(AMS)

国际工业与应用数学会士(SIAM)

中国工业与应用数学会会士(CSIAM)

jshen@eitech.edu.cn

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280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


学术经历:(选填)

  • Jul 2002 - 至今: Guest Chair Professor, School of Mathematical Sciences, Xiamen University, China. 


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:

2024中国工业与应用数学会(CSIAM)会士

2023: 美国普渡大学杰出教授

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 

2008: Fulbright Award: McGill University Research Chair in Computational Methods for Partial Differential Equations


代表性论著:

总体情况

280余篇学术论文,其中70余篇发表于 SIAM Review, Found. Comp. Math., Math. Comp., SIAM J. Numer. Anal., SIAM J. Sci. Comput., Numer. Math. 等一流期刊,三本专著。


Citations: 

• Google Scholar ≥ 30, 000 

• Web of Science ≥ 16, 000 

• MathSciNet ≥ 11, 000 


H-index: 

• Google Scholar: 82

• Web of Science: 69

• MathSciNet: 53


A complete list of my publications (most are downloadable):

https://www.math.purdue.edu/~shen7/publist.html


Google Scholar:

https://scholar.google.com/citations?user=6Rl6La8AAAAJ&hl=en


Web of Knowledge:

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 incompress- ible 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.