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Mathematics
Taiwan
2026

D-Index & Metrics

Mathematics

D-Index
44
Citations
8059
World Ranking
1586
National Ranking
9

Chein-Shan 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 Chein-Shan 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: 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: 467 publications — 96th percentile

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

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

Chein-Shan 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 Chein-Shan 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: 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.

Research.com Recognitions

  • 2026 - Research.com Mathematics in Taiwan Leader Award
  • 2025 - Research.com Mathematics in Taiwan Leader Award

Overview

Chein-Shan Liu is affiliated with National Taiwan Ocean University in Taiwan. The researcher's academic contributions primarily focus on mathematics and engineering, with a significant number of publications in various specialized subfields.

The main fields of study include:

  • Mathematics
  • Engineering

The subfields of study reflect a concentration on computational and applied mathematics disciplines:

  • Numerical Analysis
  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Modeling and Simulation
  • Mathematical Physics

The topics covered in their work range across advanced mathematical methods and engineering numerical techniques, including:

  • Fractional Differential Equations Solutions
  • Numerical methods in engineering
  • Iterative Methods for Nonlinear Equations
  • Matrix Theory and Algorithms
  • Advanced Optimization Algorithms Research
  • Numerical methods in inverse problems
  • Differential Equations and Numerical Methods

Frequent coauthors collaborating with Chein-Shan Liu include:

  • Chih-Wen Chang
  • Chung-Lun Kuo
  • Jiang-Ren Chang
  • Essam R. El-Zahar
  • Botong Li

Published papers span journals and venues that often focus on applied mathematics, computational simulation, and nonlinear analysis.

Recent representative papers include:

  • "A splitting method to solve a single nonlinear equation with derivative-free iterative schemes," 2021, Mathematics and Computers in Simulation
  • "A Simplified Lindstedt-Poincaré Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations," 2021, Mathematics
  • "A boundary collocation method for anomalous heat conduction analysis in functionally graded materials," 2020, Computers & Mathematics with Applications
  • "A homogenization function method for inverse heat source problems in 3D functionally graded materials," 2020, Applied Mathematical Modelling
  • "Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions," 2020, International Journal of Nonlinear Sciences and Numerical Simulation

Frequent publication venues where Chein-Shan Liu's work appears include:

  • Mathematics
  • Mathematics and Computers in Simulation
  • Engineering Analysis with Boundary Elements
  • Symmetry
  • Journal of Mathematics Research

Best Publications

  • Cone of non-linear dynamical system and group preserving schemes

    Chein-Shan Liu

  • A Novel Time Integration Method for Solving A Large System of Non-Linear Algebraic Equations

    Chein Shan Liu;Satya N. Atluri

  • The Lie-group shooting method for solving the Bratu equation

    S. Abbasbandy;M.S. Hashemi;Chein-Shan Liu

  • A study on the multiple reciprocity method and complex-valued formulation for the Helmholtz equation

    W. Yeih;J. T. Chen;K. H. Chen;F. C. Wong

  • Group preserving scheme for backward heat conduction problems

    Chein-Shan Liu

  • Coulomb friction oscillator : Modelling and responses to harmonic loads and base excitations

    H.-K. Hong;C.-S. Liu

  • A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length

    Chein-Shan Liu

  • An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation

    Chein-Shan Liu

  • A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation

    Chein-Shan Liu

  • The Lie-Group Shooting Method for Nonlinear Two-Point Boundary Value Problems Exhibiting Multiple Solutions

    Chein-Shan Liu

  • Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions

    Ji Lin;C.S. Chen;Chein-Shan Liu;Jun Lu

  • An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length.

    Chein-Shan Liu

  • A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature

    Chein-Shan Liu

  • An Inverse Problem in Elasticity With Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach

    Weichung Yeih;Tatsuhito Koya;Toshio Mura

  • A new shooting method for quasi-boundary regularization of backward heat conduction problems

    Jiang-Ren Chang;Chein-Shan Liu;Chih-Wen Chang

  • Optimal sources in the MFS by minimizing a new merit function: Energy gap functional

    Fajie Wang;Chein-Shan Liu;Chein-Shan Liu;Wenzhen Qu

  • Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction Problems

    C.-S. Liu;C.-W. Chang;J.-R. Chang

  • A boundary collocation method for anomalous heat conduction analysis in functionally graded materials

    Zhuo-Jia Fu;Li-Wen Yang;Qiang Xi;Chein-Shan Liu

  • Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method

    Chein-Shan Liu;Satya N. Atluri

  • Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear Systems

    Chein-Shan Liu;Hong-Ki Hong;Satya N. Atluri

  • Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation

    Fajie Wang;Fajie Wang;Qingsong Hua;Chein-Shan Liu

  • A Fictitious Time Integration Method for the Numerical Solution of the Fredholm Integral Equation and for Numerical Differentiation of Noisy Data, and Its Relation to the Filter Theory

    Chein-Shan Liu;Satya N. Atluri

Frequent Co-Authors

Satya N. Atluri
Satya N. Atluri Texas Tech University
Zhuo-Jia Fu
Zhuo-Jia Fu Hohai University
Ching-Shyang Chen
Ching-Shyang Chen University of Southern Mississippi
Saeid Abbasbandy
Saeid Abbasbandy Imam Khomeini International University
Mir Sajjad Hashemi
Mir Sajjad Hashemi University of Bonab
Subrata Mukherjee
Subrata Mukherjee Cornell University
Jeng-Tzong Chen
Jeng-Tzong Chen National Taiwan Ocean University

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