World's Best Scientists 2026 revealed!
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Mathematics
China
2026

D-Index & Metrics

Mathematics

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

Jie Shen publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Jie Shen sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 279 publications — 83rd percentile

83% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Jie Shen D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Jie Shen sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 80 D-Index — 96th percentile

96% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

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