World's Best Scientists 2026 revealed!
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Shijun Liao

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 67 329 274 13 13 246 26756
Engineering and Technology 67 1265 1198 249 248 249 27358

Shijun Liao publications per year

The chart shows the history of publications by Shijun Liao between 1991 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Shijun Liao published across 35 years, from 1991 to 2025, averaging 9.7 papers a year. Output peaked at 26 publications in 2003. 34 of the 340 publications appeared in the last two years.

No. of publications
5 10 15 20 25
Bar chart. Horizontal axis: year, 1991 to 2025. Vertical axis: number of publications, 0 to 26. Peak 26 publications in 2003. 1991: 1 publication 1992: 4 publications 1993: 0 publications 1994: 0 publications 1995: 2 publications 1996: 3 publications 1997: 9 publications 1998: 6 publications 1999: 7 publications 2000: 0 publications 2001: 4 publications 2002: 5 publications 2003: 26 publications 2004: 3 publications 2005: 11 publications 2006: 10 publications 2007: 8 publications 2008: 8 publications 2009: 12 publications 2010: 12 publications 2011: 5 publications 2012: 26 publications 2013: 10 publications 2014: 16 publications 2015: 16 publications 2016: 9 publications 2017: 9 publications 2018: 17 publications 2019: 13 publications 2020: 12 publications 2021: 12 publications 2022: 15 publications 2023: 15 publications 2024: 14 publications 2025: 20 publications
1991 2025

340 publications in total across all disciplines

View publications per year as a table
Shijun Liao: publications per year, 1991 to 2025
Year Publications
1991 1
1992 4
1993 0
1994 0
1995 2
1996 3
1997 9
1998 6
1999 7
2000 0
2001 4
2002 5
2003 26
2004 3
2005 11
2006 10
2007 8
2008 8
2009 12
2010 12
2011 5
2012 26
2013 10
2014 16
2015 16
2016 9
2017 9
2018 17
2019 13
2020 12
2021 12
2022 15
2023 15
2024 14
2025 20
Total 340
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Shijun Liao 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 Shijun Liao sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 242–246 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 246 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46 246
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Shijun Liao 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 Shijun Liao sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 67 D-Index, is where this scientist sits. 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: 67 D-Index — 91st percentile

91% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19 67
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Overview

Shijun Liao is affiliated with Shanghai Jiao Tong University in China. Their research spans multiple areas within engineering and physics, with significant contributions to computational mechanics and applications in fluid dynamics, chaos theory, and astrophysics.

Their publication record reveals involvement in a range of scientific topics. Main fields of study include Engineering and Physics and Astronomy, supported by a substantial number of publications in these areas. Key subfields covered are Computational Mechanics, Statistical and Nonlinear Physics, Astronomy and Astrophysics, Aerospace Engineering, and Artificial Intelligence.

Themes frequently addressed in their research are Fluid Dynamics and Turbulent Flows, Meteorological Phenomena and Simulations, Quantum Chaos and Dynamical Systems, Astro and Planetary Science, Fractional Differential Equations Solutions, Spacecraft Dynamics and Control, and Chaos Control and Synchronization.

Shijun Liao's work has appeared in various scientific venues, with repeated publications in journals such as arXiv (Cornell University), Journal of Fluid Mechanics, Journal of Ocean Engineering and Science, Physics of Fluids, and Advances in Applied Mathematics and Mechanics.

Notable recent papers include:

  • Three-body problem - From Newton to supercomputer plus machine learning, 2022, New Astronomy
  • On the risks of using double precision in numerical simulations of spatio-temporal chaos, 2020, Journal of Computational Physics
  • Ultra-chaos of a mobile robot: A higher disorder than normal-chaos, 2022, Chaos Solitons & Fractals
  • Analytical solutions for the hydrogen atom in plasmas with electric, magnetic, and Aharonov-Bohm flux fields, 2021, Physical review. E
  • Large-scale influence of numerical noises as artificial stochastic disturbances on a sustained turbulence, 2022, Journal of Fluid Mechanics

The scientist frequently collaborates with other researchers. Prominent coauthors include Shijie Qin, Xiaoming Li, Yu Yang, Zeng Liu, and Ling Liu. The frequent collaboration network highlights interactions mainly with authors contributing to similar topics in nonlinear physics and fluid mechanics.

Best Publications

  • Beyond Perturbation: Introduction to the Homotopy Analysis Method

    Shijun Liao;SA Sherif

  • On the homotopy analysis method for nonlinear problems

    Shijun Liao

  • Homotopy Analysis Method in Nonlinear Differential Equations

    Shijun Liao

  • An optimal homotopy-analysis approach for strongly nonlinear differential equations

    Shijun Liao

  • Notes on the homotopy analysis method: Some definitions and theorems

    Shijun Liao

  • An explicit, totally analytic approximate solution for Blasius’ viscous flow problems

    Shi-Jun Liao

  • An approximate solution technique not depending on small parameters: A special example

    Shi-Jun Liao

  • On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet

    Shi-Jun Liao

  • A new branch of solutions of boundary-layer flows over an impermeable stretched plate

    Shijun Liao

  • Comparison between the homotopy analysis method and homotopy perturbation method

    Shijun Liao

  • A General Approach to Obtain Series Solutions of Nonlinear Differential Equations

    S J Liao;Y Tan

  • Foundations of offshore wind turbines: A review

    Xiaoni Wu;Yu Hu;Ye Li;Jian Yang

  • A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics

    Shi-jun Liao

  • A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate

    Shi-Jun Liao

  • AN EXPLICIT TOTALLY ANALYTIC APPROXIMATION OF BLASIUS VISCOUS FLOW PROBLEMS

    S J Liao

  • HOMOTOPY ANALYSIS OF NONLINEAR PROGRESSIVE WAVES IN DEEP WATER

    Shi-Jun Liao;Kwok Fai Cheung

  • An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate

    Shijun Liao

  • Analytic solutions of the temperature distribution in Blasius viscous flow problems

    Shijun Liao;Antonio Campo

  • Advances in the homotopy analysis method

    Shijun Liao

  • Explicit analytic solution for similarity boundary layer equations

    Shi-Jun Liao;Ioan Pop

Frequent Co-Authors

Tasawar Hayat
Tasawar Hayat Quaid-i-Azam University
Ioan Pop
Ioan Pop Karlsruhe Institute of Technology
A. Alsaedi
A. Alsaedi King Abdulaziz University
Kuppalapalle Vajravelu
Kuppalapalle Vajravelu University of Central Florida
Kwok Fai Cheung
Kwok Fai Cheung University of Hawaii at Manoa
Philip L.-F. Liu
Philip L.-F. Liu National University of Singapore
Feng Xiao
Feng Xiao Tokyo Institute of Technology
Joseph Majdalani
Joseph Majdalani Auburn University
Farzad Mashayek
Farzad Mashayek University of Illinois at Chicago
Saeid Abbasbandy
Saeid Abbasbandy Imam Khomeini International University

External Links

Wikipedia of Shijun Liao Personal website of Shijun Liao Google Scholar page

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Related Online Degrees & Career Pathways

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Best Scientists Citing Shijun Liao

Tasawar Hayat

Tasawar Hayat

Quaid-i-Azam University

Publications: 1031

A. Alsaedi

A. Alsaedi

King Abdulaziz University

Publications: 163

Sabir Ali Shehzad

Sabir Ali Shehzad

COMSATS University Islamabad

Publications: 112

Taseer Muhammad

Taseer Muhammad

King Khalid University

Publications: 101

Saeid Abbasbandy

Saeid Abbasbandy

Imam Khomeini International University

Publications: 100

Muhammad Sajid

Muhammad Sajid

International Islamic University, Islamabad

Publications: 97

Mohammad Mehdi Rashidi

Mohammad Mehdi Rashidi

Tongji University

Publications: 92

Ioan Pop

Ioan Pop

Karlsruhe Institute of Technology

Publications: 86

Sohail Nadeem

Sohail Nadeem

Quaid-i-Azam University

Publications: 73

Meraj Mustafa

Meraj Mustafa

National University of Sciences and Technology

Publications: 65

Rahmat Ellahi

Rahmat Ellahi

International Islamic University, Islamabad

Publications: 63

Kuppalapalle Vajravelu

Kuppalapalle Vajravelu

University of Central Florida

Publications: 58

Saeed Islam

Saeed Islam

Abdul Wali Khan University Mardan

Publications: 57

Saleem Asghar

Saleem Asghar

COMSATS University Islamabad

Publications: 57

Zaheer Abbas

Zaheer Abbas

Islamia University of Bahawalpur

Publications: 56

Dumitru Baleanu

Dumitru Baleanu

Lebanese American University

Publications: 53

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