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D-Index & Metrics

Mathematics

D-Index
39
Citations
8965
World Ranking
2146
National Ranking
114

Hermann Brunner 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 Hermann Brunner 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: 170 publications — 49th percentile

49% of scientists in this discipline score the same or lower.

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

Hermann Brunner 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 Hermann Brunner 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: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

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

Overview

Hermann Brunner is affiliated with Hong Kong Baptist University in China and specializes in mathematical research with a focus on numerical analysis and modeling and simulation. Their work primarily addresses aspects of differential equations and numerical methods, including specialized studies in fractional differential equations.

The scientist's research is distributed among key fields and subfields as follows:

  • Mathematics
  • Numerical Analysis
  • Modeling and Simulation

Brunner's research topics consistently center on methods for solving differential equations, including:

  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Numerical methods for differential equations

One of their recent published works includes:

  • "The Fine Error Estimation of Collocation Methods on Uniform Meshes for Weakly Singular Volterra Integral Equations," 2020, published in the Journal of Scientific Computing

Hermann Brunner has collaborated with coauthors such as Hui Liang, who contributed to their joint work on numerical methods and integral equations.

  • Hui Liang

Their publications have appeared in venues including:

  • Journal of Scientific Computing

Best Publications

  • Collocation Methods for Volterra Integral and Related Functional Differential Equations

    Hermann Brunner

  • The numerical solution of Volterra equations

    H. Brunner;P. J. van der Houwen

  • Blowup in diffusion equations: a survey

    Catherine Bandle;Hermann Brunner

  • The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes

    Hermann Brunner

  • On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods

    Hermann Brunner

  • The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations

    Hermann Brunner;Arvet Pedas;Gennadi Vainikko

  • Volterra Integral Equations: An Introduction to Theory and Applications

    Hermann Brunner

  • Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

    Hermann Brunner;Arvet Pedas;Gennadi Vainikko

  • Nonpolynomial Spline Collocation for Volterra Equations With Weakly Singular Kernels

    Hermann Brunner

  • Numerical simulations of 2D fractional subdiffusion problems

    Hermann Brunner;Leevan Ling;Masahiro Yamamoto

  • Stability of numerical methods for volterra integro-differential equations

    Hermann Brunner;J. D. Lambert

  • Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations

    Hermann Brunner

  • Implicitly linear collocation methods for nonlinear Volterra equations

    Hermann Brunner

  • Clenshaw–Curtis–Filon-type methods for highly oscillatory Bessel transforms and applications

    Shuhuang Xiang;Yeol Je Cho;Haiyong Wang;Hermann Brunner

  • A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations

    Hermann Brunner

  • A spectral method for pantograph-type delay differential equations and its convergence analysis

    Ishtiaq Ali;Hermann Brunner;Tao Tang

  • Spectral methods for pantograph-type differential and integral equations with multiple delays

    Ishtiaq Ali;Ishtiaq Ali;Hermann Brunner;Hermann Brunner;Tao Tang

  • Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels

    Hermann Brunner

  • Runge-Kutta theory for Volterra integral equations of the second kind

    Hermann Brunner;Ernst Hairer;Syvert Paul Norsett

  • hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

    Hermann Brunner;Dominik Schötzau

  • Nonlinear Dynamics and Evolution Equations

    Hermann Brunner;Xiao-Qiang Zhao;Xingfu Zou

  • The Numerical Solution of Volterra Equations.

    H. Brunner;P. J. Van Der Houwen

  • Analytical and Numerical Methods for Volterra Equations.

    Unknown

Frequent Co-Authors

Tao Tang
Tao Tang Hong Kong Baptist University
Syvert P. Nørsett
Syvert P. Nørsett Norwegian University of Science and Technology
Arieh Iserles
Arieh Iserles University of Cambridge
Dominik Schötzau
Dominik Schötzau University of British Columbia
Ernst Hairer
Ernst Hairer University of Geneva
Yeol Je Cho
Yeol Je Cho Gyeongsang National University
Raymond H. Chan
Raymond H. Chan Lingnan University
Michael A. Saunders
Michael A. Saunders Stanford University
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology

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