Research Field:

Numerical analysis and scientific computing, including:

Spectral methods；

Computational fluid mechanics, and computational materials science；

Structure preserving schemes for complex nonlinear systems.

Educational Background:

Peking University, Computational Mathematics, B.S. 1982

Université Paris-Sud, Orsay, Mathematics, Ph.D. 1987 (Adviser: R. Temam)

Indiana University, Applied Mathematics, PostDoc and Visiting Assistant Professor (8/1987–7/1991)

Work Experience:

May 2023–: 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

Academic Experience: 

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

Academic Part-time Jobs (Partial):

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— 

Awards and Honors:

2024: CSIAM Fellow

2020: SIAM Fellow

2017: AMS Fellow

Representative Works:

General Information

Published three books and over 280 papers, most of which are in premier journals, including over eighty papers published in the most prestigious journals of numerical analysis and scientific computing: SIAM Review, Found. Comp. Math., Math. Comp., SIAM J. Numer. Anal., SIAM J. Sci. Comput., Numer. Math.

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 Representative Works：

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.