World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
12727
World Ranking
1541
National Ranking
665

Engineering and Technology

D-Index
44
Citations
12768
World Ranking
5690
National Ranking
1588

Hongkai Zhao 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 Hongkai Zhao 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: 83 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: 139 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

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

Hongkai Zhao 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 Hongkai Zhao 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: 138 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: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Overview

Hongkai Zhao is affiliated with Duke University in the United States. Their research spans multiple interdisciplinary areas, with particular focus on materials chemistry, computational mechanics, economics and econometrics, biomedical engineering, and spectroscopy.

They have contributed to the study of aerogels and thermal insulation, gold and silver nanoparticles synthesis and applications, radiative heat transfer studies, 3D shape modeling and analysis, as well as topics related to economic growth, development, and environmental policies. These topics highlight an integration of physical sciences, engineering, and economic analysis.

The scientist's publication record includes papers in a variety of peer-reviewed journals and venues. Representative recent publications include:

  • "The measurement of green finance index and the development forecast of green finance in China", 2021, Environmental and Ecological Statistics
  • "Marchenko-Pastur law with relaxed independence conditions", 2020, Random Matrices Theory and Application
  • "SERS monitoring of methylene blue degradation by Au-Ag@Cu2O-rGO nanocomposite", 2024, Spectrochimica Acta Part A Molecular and Biomolecular Spectroscopy
  • "Hybrid Membrane Biomimetic Photothermal Nanorobots for Enhanced Chemodynamic-Chemotherapy-Immunotherapy", 2025, ACS Applied Materials & Interfaces
  • "Preparation of low-cost silica aerogels by high-pressure carbon dioxide methods", 2025, Journal of Non-Crystalline Solids

Hongkai Zhao frequently publishes in venues such as arXiv (Cornell University), SSRN Electronic Journal, Environmental and Ecological Statistics, Spectrochimica Acta Part A Molecular and Biomolecular Spectroscopy, and ACS Applied Materials & Interfaces.

Collaborations form an important part of their work. Frequent co-authors include Lei Chen, Shuang Guo, Shuhan Di, Eungyeong Park, and Young Mee Jung, reflecting collaborative efforts across diverse specialties.

Best Publications

  • Regular Article: A PDE-Based Fast Local Level Set Method

    Danping Peng;Barry Merriman;Stanley Osher;Hongkai Zhao

  • A Variational Level Set Approach to Multiphase Motion

    Hong-Kai Zhao;T. Chan;B. Merriman;S. Osher

  • A fast sweeping method for Eikonal equations

    Hongkai Zhao

  • Fast surface reconstruction using the level set method

    Hong-Kai Zhao;S. Osher;R. Fedkiw

  • Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations

    Yen-Hsi Richard Tsai;Li-Tien Cheng;Stanley J. Osher;Hong-Kai Zhao

  • Super-resolution in time-reversal acoustics

    Peter Blomgren;George Papanicolaou;Hongkai Zhao

  • Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method

    Hong-Kai Zhao;Stanley Osher;Barry Merriman;Myungjoo Kang

  • A Hybrid Method for Moving Interface Problems with Application to the Hele-Shaw Flow

    Thomas Y. Hou;Zhilin Li;Stanley Osher;Hongkai Zhao

  • High Order Fast Sweeping Methods for Static Hamilton---Jacobi Equations

    Yong-Tao Zhang;Hong-Kai Zhao;Jianliang Qian

  • An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface

    Jian-Jun Xu;Hong-Kai Zhao

  • Fast Sweeping Methods for Eikonal Equations on Triangular Meshes

    Jianliang Qian;Yong-Tao Zhang;Hong-Kai Zhao

  • A level-set method for interfacial flows with surfactant

    Jian-Jun Xu;Zhilin Li;John Lowengrub;Hongkai Zhao

  • A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations

    Jianliang Qian;Yong-Tao Zhang;Hong-Kai Zhao

  • Fast sweeping method for the factored eikonal equation

    Sergey Fomel;Songting Luo;Hongkai Zhao

  • Robust principal component analysis-based four-dimensional computed tomography

    Hao Gao;Jian-Feng Cai;Zuowei Shen;Hongkai Zhao

  • Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study

    Jian Feng Cai;Xun Jia;Hao Gao;Steve B. Jiang

  • A direct imaging algorithm for extended targets

    Songming Hou;Knut Solna;Hongkai Zhao

  • A Fast-Forward Solver of Radiative Transfer Equation

    Hao Gao;Hongkai Zhao

  • An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed

    Jianliang Qian;Plamen Stefanov;Gunther Uhlmann;Hongkai Zhao

  • Multilevel bioluminescence tomography based on radiative transfer equation Part 1: l1 regularization

    Hao Gao;Hongkai Zhao

Frequent Co-Authors

Jianliang Qian
Jianliang Qian Michigan State University
Stanley Osher
Stanley Osher University of California, Los Angeles
Ray Luo
Ray Luo University of California, Irvine
Jian-Feng Cai
Jian-Feng Cai Hong Kong University of Science and Technology
Gunther Uhlmann
Gunther Uhlmann University of Washington
Zuowei Shen
Zuowei Shen National University of Singapore
Kui Ren
Kui Ren Zhejiang University
Eric T. Chung
Eric T. Chung Chinese University of Hong Kong
George Papanicolaou
George Papanicolaou Stanford University
John Lowengrub
John Lowengrub University of California, Irvine

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