World's Best Scientists 2026 revealed!
Award Badge
Mathematics
China
2026

D-Index & Metrics

Mathematics

D-Index
80
Citations
28322
World Ranking
147
National Ranking
6

Research.com Recognitions

  • 2026 - Research.com Mathematics in China Leader Award
  • 2025 - Research.com Mathematics in China Leader Award
  • 2020 - SIAM Fellow For fundamental contributions to spectral methods and applications, including pioneering algorithms in computational fluids dynamics and materials science.
  • 2017 - Fellow of the American Mathematical Society For contributions to theoretical numerical analysis, scientific computing, computational fluid dynamics, and computational materials science.

Overview

Jie Shen is affiliated with the Eastern Institute of Technology in Ningbo, China. Their research primarily spans the fields of engineering and mathematics, with a significant focus on computational mechanics and numerical analysis. Jie has contributed extensively to topics such as advanced numerical methods in computational mathematics, solidification and crystal growth phenomena, differential equations and numerical methods, advanced mathematical modeling in engineering, numerical methods for differential equations, computational fluid dynamics and aerodynamics, and fluid dynamics and turbulent flows.

Their recent scholarly publications highlight active involvement in the development and analysis of numerical schemes for gradient flows and Navier-Stokes equations. Notable papers include:

  • "A new Lagrange multiplier approach for gradient flows" (2020), published in Computer Methods in Applied Mechanics and Engineering
  • "A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows" (2020), published in SIAM Journal on Scientific Computing
  • "Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations" (2020), published in SIAM Journal on Numerical Analysis
  • "New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis" (2021), published in Mathematics of Computation
  • "Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation" (2020), published in Advances in Computational Mathematics

Jie Shen has worked collaboratively with several frequent co-authors, including Xiaoli Li, Fukeng Huang, Qing Cheng, Shiheng Zhang, and Nan Zheng. Publications by Jie Shen appear commonly in high-profile academic venues such as arXiv (Cornell University), Journal of Computational Physics, SIAM Journal on Scientific Computing, Journal of Scientific Computing, and SIAM Journal on Numerical Analysis.

Beyond journal articles, Jie Shen has authored books, notably with Cambridge University Press. One recent book, released in 2024, is titled "Spectral and Spectral Element Methods for Fractional Ordinary and Partial Differential Equations."

Awards received by Jie Shen include recognition as a SIAM Fellow in 2020 for contributions related to spectral methods and computational fluid dynamics, and Fellow of the American Mathematical Society in 2017 for work in theoretical numerical analysis and computational materials science.

Best Publications

  • Spectral Methods: Algorithms, Analysis and Applications

    Jie Shen;Tao Tang;Li-Lian Wang

  • An overview of projection methods for incompressible flows

    J. L. Guermond;J. L. Guermond;P. Minev;Jie Shen

  • Applications of semi-implicit Fourier-spectral method to phase field equations

    L.Q. Chen;Jie Shen

  • A diffuse-interface method for simulating two-phase flows of complex fluids

    Pengtao Yue;James J. Feng;Chun Liu;Jie Shen

  • Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

    Jie Shen;Xiaofeng Yang

  • The scalar auxiliary variable (SAV) approach for gradient flows

    Jie Shen;Jie Shen;Jie Xu;Jiang Yang

  • A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

    Chun Liu;Jie Shen

  • Efficient spectral-Galerkin method I: direct solvers of second-and fourth-order equations using Legendre polynomials

    Jie Shen

  • A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

    Jie Shen;Jie Xu;Jiang Yang

  • Coarsening kinetics from a variable-mobility Cahn-Hilliard equation: application of a semi-implicit Fourier spectral method

    Jingzhi Zhu;Long Qing Chen;Jie Shen;Veena Tikare

  • Spectral and High-Order Methods with Applications

    Jie Shen;Tao Tang;Zhenhuan Teng

  • Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy

    Jie Shen;Cheng Wang;Xiaoming Wang;Steven M. Wise

  • On error estimates of projection methods for Navier-Stokes equations: first-order schemes

    Jie Shen

  • Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

    Jie Shen;Jie Xu

  • A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

    Jie Shen;Xiaofeng Yang

  • Efficient spectral-Galerkin method II.: direct solvers of second- and fourth-order equations using Chebyshev polynomials

    Jie Shen

  • On the error estimates for the rotational pressure-correction projection methods

    Jean-Luc Guermond;Jie Shen

  • Velocity-Correction Projection Methods for Incompressible Flows

    J. L. Guermond;Jie Shen

  • Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions

    Jie Shen

  • Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method

    Xiaofeng Yang;James J. Feng;Chun Liu;Jie Shen

Frequent Co-Authors

Chun Liu
Chun Liu Illinois Institute of Technology
Long Qing Chen
Long Qing Chen Pennsylvania State University
Tao Tang
Tao Tang Hong Kong Baptist University
James J. Feng
James J. Feng University of British Columbia
Jean-Luc Guermond
Jean-Luc Guermond Texas A&M University
B. G. Shen
B. G. Shen Chinese Academy of Sciences
Qi Wang
Qi Wang University of South Carolina
Jirong Sun
Jirong Sun Chinese Academy of Sciences
Weizhu Bao
Weizhu Bao National University of Singapore
Clive A. Randall
Clive A. Randall Pennsylvania State University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can broaden career opportunities. Many individuals consider combining their quantitative skills with business acumen by pursuing an shortest MBA program online. This option allows for a faster transition into leadership and management roles without prolonged time commitments.

Additionally, those interested in combining analytical expertise with marketing can find value in a MS in digital marketing degree cost USA guide. This provides insights into affordable, high-return marketing programs that leverage data-driven strategies, a natural fit for math graduates.

For professionals seeking accelerated career advancement, a 1 year MBA offers an intensive curriculum that balances speed with comprehensive business education. It is ideal for those eager to quickly boost their qualifications.

Moreover, flexibility in education is crucial. Many students benefit from an online MBA accepting transfer credits, allowing them to leverage previous coursework and reduce both time and cost while advancing their academic journey.

Best Scientists Citing Jie Shen

Trending Scientists