World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
14885
World Ranking
3089
National Ranking
189

Kai Diethelm 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 Kai Diethelm 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: 95 publications — 8th percentile

8% of scientists in this discipline score the same or lower.

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

Kai Diethelm 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 Kai Diethelm 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: 32 D-Index — 14th percentile

14% of scientists in this discipline score the same or lower.

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

Overview

Kai Diethelm is affiliated with Technische Universität Braunschweig in Germany. Their research primarily focuses on mathematics, with a specialization in fractional differential equations and numerical analysis. They have contributed extensively to the areas of iterative methods for nonlinear equations, modeling and simulation, and applied mathematics.

The main topics of their work include:

  • Fractional Differential Equations Solutions
  • Iterative Methods for Nonlinear Equations
  • Differential Equations and Numerical Methods
  • Nonlinear Differential Equations Analysis
  • Numerical Methods for Differential Equations
  • Differential Equations and Boundary Problems
  • Mathematical Functions and Polynomials

Kai Diethelm's frequent coauthors include:

  • Hoang The Tuan
  • Ha Duc Thai
  • Renu Chaudhary
  • Safoura Hashemishahraki
  • Frank Uhlig

Their research has been published primarily in venues such as:

  • arXiv (Cornell University)
  • IFAC-PapersOnLine
  • Mathematics
  • Fractional Calculus and Applied Analysis
  • Nonlinear Dynamics

Recent papers authored by Kai Diethelm include:

  • "Trends, directions for further research, and some open problems of fractional calculus" (2022), published in Nonlinear Dynamics
  • "Good (and Not So Good) Practices in Computational Methods for Fractional Calculus" (2020), published in Mathematics
  • "Upper and lower estimates for the separation of solutions to fractional differential equations" (2022), published in Fractional Calculus and Applied Analysis
  • "Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems" (2022), published in Fractional Calculus and Applied Analysis
  • "A constructive approach for investigating the stability of incommensurate fractional differential systems" (2024), published in Journal of Mathematical Analysis and Applications

Best Publications

  • Analysis of Fractional Differential Equations

    Kai Diethelm;Neville J. Ford

  • A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations

    Kai Diethelm;Neville J. Ford;Alan D. Freed

  • The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type

    Kai Diethelm

  • Detailed error analysis for a fractional Adams method

    Kai Diethelm;Neville J. Ford;Alan D. Freed

  • Algorithms for the fractional calculus: A selection of numerical methods

    Kai Diethelm;Neville J. Ford;Alan D. Freed;Alan D. Freed;Yury Luchko

  • AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

    Kai Diethelm

  • On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity

    Kai Diethelm;Alan D. Freed

  • A fractional calculus based model for the simulation of an outbreak of dengue fever

    Kai Diethelm

  • Multi-order fractional differential equations and their numerical solution

    Kai Diethelm;Neville J Ford

  • NUMERICAL SOLUTION OF THE BAGLEY-TORVIK EQUATION ∗

    K. Diethelm;J. Ford

  • Multi-Term Caputo Fractional Differential Equations

    Kai Diethelm

  • Numerical Solution of Fractional Order Differential Equations by Extrapolation

    Kai Diethelm;Guido Walz

  • Why fractional derivatives with nonsingular kernels should not be used

    Kai Diethelm;Roberto Garrappa;Andrea Giusti;Martin Stynes

  • Numerical analysis for distributed-order differential equations

    Kai Diethelm;Neville J. Ford

  • Mittag-Leffler Functions

    Kai Diethelm

  • Efficient solution of multi-term fractional differential equations using P(EC) m E methods

    K. Diethelm

  • Pitfalls in fast numerical solvers for fractional differential equations

    Kai Diethelm;Judith M. Ford;Neville J. Ford;Marc Weilbeer

  • Fractional calculus in biomechanics: a 3D viscoelastic model using regularized fractional derivative kernels with application to the human calcaneal fat pad.

    A D Freed;A D Freed;K Diethelm

  • An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives

    Kai Diethelm

  • Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus

    Kai Diethelm;Virginia Kiryakova;Yuri Luchko;J. A. Tenreiro Machado

  • An efficient parallel algorithm for the numerical solution of fractional differential equations

    Kai Diethelm

Frequent Co-Authors

Neville J. Ford
Neville J. Ford University of Chester
Felix Wolf
Felix Wolf Technical University of Darmstadt
J. A. Tenreiro Machado
J. A. Tenreiro Machado Polytechnic Institute of Porto
Christian Bischof
Christian Bischof Technical University of Darmstadt
Allen D. Malony
Allen D. Malony University of Oregon
Vasily E. Tarasov
Vasily E. Tarasov Lomonosov Moscow State University
Martin Stynes
Martin Stynes Beijing Computational Science Research Center
Yuri Luchko
Yuri Luchko Beuth University of Applied Sciences

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