讲席教授
数学科学学院院长
美国数学学会会士
国际工业与应用数学协会会士
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250多篇,并有两本专著, 其研究结果被国际同行广泛引用,在Google Scholar上被引用逾两万五千次。 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。
沈捷教授在 research.com (https://research.com/scientists-rankings/mathematics)的2022全球数学家排名列第170位;在2022年斯坦福大学全球顶尖2%科学家排名(https://ecebm.com/2022/10/11/stanford-university-names-worlds-top-2-scientists-2022/)的数值与计算数学中列2021年影响第4位和职业生涯影响第9位。
研究领域:
沈捷教授主要从事偏微分方程数值解研究工作,具体研究方向包括谱方法数值分析理论,计算流体, 以及计算材料科学。
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.
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—
• 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:
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
260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,两本专著。
Citations:
• Google Scholar ≥ 25, 000
• Web of Science ≥ 15, 000
• MathSciNet ≥ 10, 000
H-index:
• Google Scholar: 75
• Web of Science: 62
• MathSciNet: 50
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. Jie Shen, Jie Xu. Unconditional positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations, Numer. Math. 148 (3), 671-697, 2021.
2. 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.
3. Sheng Chen, Jie Shen and Li-Lian Wang. Generalized Jacobi functions and their applications to fractional differential equations. Math. Comp. 85:1603-1638, 2016.
4. 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.
5. 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.
6. 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.
7. J.L. Guermond and Jie Shen. Velocity-correction projection methods for incompressible flows. SIAM J. Numer. Anal. 41:112-134, 2003.
8. L.Q. Chen and Jie Shen. Applications of semi-implicit Fourier-spectral method to phase-field equations. Comput. Phys. Comm., 108:147–158, 1998.
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.