Jie Shen

Chair Professor

Fellow of Society of Industrial and Applied Mathematics (SIAM)

Fellow of American Mathematical Society (AMS)

Dean, School of Mathematical Science

jshen@eitech.edu.cn

Professional Preparation

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)


Click to visit the personal homepage and the list of publications.


Professional Appointments

Aug. 1991 – July 2001: Assistant, Associate, Full Professor, Department of Mathematics, The Pennsylvania State University.

Aug. 2001 – July 2002: Professor, Department of Mathematics, University of Central Florida.

Jan. 2012 – Dec. 2022: Director, Center for Computational and Applied Mathematics, Purdue University.

Aug. 2002 – June 2023: Professor, Department of Mathematics, Purdue University.

July 2023 – Aug. 2023 Distinguished Professor, Department of Mathematics, Purdue University.

May 2023 – Chair Professor, Eastern Institute of Technology, Ningbo


Guest Professorship

July 2002 – : Guest Chair Professor, School of Mathematical Sciences, Xiamen University, China.


Research Interests: numerical analysis, applied mathematics, scientific computing.


Selected Honors and Awards

• Ranked #4 in the world for the single year (2021) impact and #9 in the world for the career impact in the field of Numerical and Computational Mathematics by Stanford Rating of World’s Top Scientists in Oct 2022:

https://elsevier.digitalcommonsdata.com/datasets/btchxktzyw/4

• Ranked #170 in the ranking released by Research.com in Jan 2022 of Top Mathematics Scientists in the World:

https://research.com/scientists-rankings/mathematics

• Member of the Selection Committee for Section 15 (Numerical Analysis) of 2022 International Congress of Mathematics.

• Fellow of Society of Industrial and Applied Mathematics (SIAM), class of 2020.

• Fellow of American Mathematical Society (AMS), class of 2017.

• (Inaugural) Research Award, College of Science, Purdue University, 2013.

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


Advising and mentoring:

Supervised more than twenty Ph.D theses, and a large number of postdocs and visiting scholars.


Selected Professional Service:

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 —


Selected professional appointments:

• Member of the Scientific Committee for the Conference Series: International Conference on High-Order and Spectral Methods (ICOSAHOM), 2014 —

• Vice-President of the International Association of Mathematics and Computers in Simulation (IMACS), 2016—

 

Publications:

Published two books (with another book to appear in 2023) and over 260 papers, most of which are in premier journals, including over seventy 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:

• In Google Scholar ≥ 25, 000

• In Web of Science ≥ 15, 000

• In MathSciNet ≥ 10, 000

 

H-index:

• In Google Scholar: 75

• In Web of Science: 62

• In 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 Representative Works:

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.