World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
60
Citations
11366
World Ranking
562
National Ranking
289

Jian-Guo Liu 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 Jian-Guo Liu 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: 343 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

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

Jian-Guo Liu 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 Jian-Guo Liu 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: 60 D-Index — 85th percentile

85% of scientists in this discipline score the same or lower.

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

Overview

Jian-Guo Liu is affiliated with Duke University in the United States. Their research predominantly spans the field of Mathematics, with significant contributions in Applied Mathematics, Computational Mechanics, Statistical and Nonlinear Physics, Radiology, Nuclear Medicine and Imaging, and Mathematical Physics.

The scientist's primary topics of work include Mathematical Biology Tumor Growth, Advanced Thermodynamics and Statistical Mechanics, Navier-Stokes equation solutions, Nonlinear Partial Differential Equations, Markov Chains and Monte Carlo Methods, Advanced Mathematical Modeling in Engineering, and Radiomics and Machine Learning in Medical Imaging.

Jian-Guo Liu has published extensively, with frequent appearances in the following venues:

  • arXiv (Cornell University)
  • Medical Physics
  • Communications in Mathematical Sciences
  • Discrete and Continuous Dynamical Systems - B
  • Journal of Computational Physics

Selected recent publications include:

  • "A stochastic version of Stein variational gradient descent for efficient sampling" (2020), Communications in Applied Mathematics and Computational Science
  • "On the Mean-Field Limit for the Vlasov-Poisson-Fokker-Planck System" (2020), Journal of Statistical Physics
  • "Age-dependent aneuploidy in mammalian oocytes instigated at the second meiotic division" (2022), Aging Cell
  • "A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration" (2021), Journal of Computational Physics
  • "Intrinsic radiomic expression patterns after 20 Gy demonstrate early metabolic response of oropharyngeal cancers" (2021), Medical Physics

Frequent collaborators include Yuan Gao, Kyle J. Lafata, Lei Li, Zhennan Zhou, and Robert L. Pego.

Best Publications

  • A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

    Seung-Yeal Ha;Jian-Guo Liu

  • Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

    Marion Acheritogaray;Pierre Degond;Amic Frouvelle;Jian-Guo Liu

  • A coupled chemotaxis-fluid model: Global existence

    Jian-Guo Liu;Alexander Lorz

  • Well-posedness for Hall-magnetohydrodynamics

    Dongho Chae;Pierre Degond;Jian-Guo Liu

  • Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

    Hans Johnston;Jian-Guo Liu

  • Vorticity Boundary Condition and Related Issues for Finite Difference Schemes

    Weinan E;Jian-Guo Liu

  • Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

    Marion Arichetogaray;Pierre Degond;Amic Frouvelle;Jian-Guo Liu

  • Projection method I: convergence and numerical boundary layers

    E. Weinan;Jian-Guo Liu

  • Diversity of exact solutions to a (3+1)-dimensional nonlinear evolution equation and its reduction

    Yu-Hang Yin;Wen-Xiu Ma;Wen-Xiu Ma;Wen-Xiu Ma;Jian-Guo Liu;Xing Lü

  • Effects of Genotype and Environment on the Antioxidant Properties of Hard Winter Wheat Bran

    Jeffrey Moore;Jian-Guo Liu;Kequan Zhou;Liangli Lucy Yu

  • An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations

    Jeffrey Haack;Shi Jin;Jian‐Guo Liu

  • Thin film epitaxy with or without slope selection

    Bo Li;Jian-Guo Liu

  • A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows

    Jian-Guo Liu;Chi-Wang Shu

  • Random batch methods (RBM) for interacting particle systems

    Shi Jin;Lei Li;Jian-Guo Liu

  • GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS

    Weinan E;Jian-Guo Liu

  • Essentially Compact Schemes for Unsteady Viscous Incompressible Flows

    Weinan E;Jian-Guo Liu

  • Effects of solid-state yeast treatment on the antioxidant properties and protein and fiber compositions of common hard wheat bran.

    Jeffrey Moore;Zhihong Cheng;Junjie Hao;Gang Guo

  • A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs

    Lei Li;Jian-Guo Liu

  • Accurate Evaluation of Electrostatics for Macromolecules in Solution

    I-Liang Chern;Jian-Guo Liu;Wei-Cheng Wang

  • Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation

    Jian-Guo Liu;Jian-Guo Liu;Mostafa Eslami;Hadi Rezazadeh;Mohammad Mirzazadeh

  • Macroscopic Limits and Phase Transition in a System of Self-propelled Particles

    Pierre Degond;Amic Frouvelle;Jian-Guo Liu

  • On the diffusion approximation of nonconvex stochastic gradient descent

    Wenqing Hu;Chris Junchi Li;Lei Li;Jian-Guo Liu

Frequent Co-Authors

Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Robert L. Pego
Robert L. Pego Carnegie Mellon University
Shi Jin
Shi Jin Shanghai Jiao Tong University
Jianfeng Lu
Jianfeng Lu Duke University
Weinan E
Weinan E Princeton University
Cheng Wang
Cheng Wang University of Massachusetts Dartmouth
Qing Huo Liu
Qing Huo Liu Eastern Institute of Technology, Ningbo
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong
Dongho Chae
Dongho Chae Chung-Ang University
Michael Herty
Michael Herty RWTH Aachen University

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