World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
4424
World Ranking
2929
National Ranking
179

Gerald Warnecke 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 Gerald Warnecke 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: 82 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: 168 publications — 47th percentile

47% of scientists in this discipline score the same or lower.

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

Gerald Warnecke 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 Gerald Warnecke 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: 137 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Overview

Gerald Warnecke is affiliated with Otto-von-Guericke University Magdeburg in Germany. Their primary fields of study lie in Engineering and Mathematics, with a strong focus on Computational Mechanics and Applied Mathematics. Their research integrates multiple aspects of Computational Fluid Dynamics and Aerodynamics, Gas Dynamics and Kinetic Theory, and Navier-Stokes equation solutions.

Their work spans complex topics such as Advanced Mathematical Modeling in Engineering, Solidification and crystal growth phenomena, Cosmology and Gravitation Theories, and Analytical Chemistry and Chromatography.

Warnecke's recent publications include:

  • "A new method to discretize a model for isothermal flow with a multi-component equation of state" (2022, Journal of Computational and Applied Mathematics)
  • "Analysis and experimental demonstration of temperature step gradients in preparative liquid chromatography" (2022, Journal of Chromatography A)
  • "Radially symmetric solutions of the ultra-relativistic Euler equations" (2021, Methods and Applications of Analysis)
  • "The Riemann problem for a two-phase mixture hyperbolic system with phase function and multi-component equation of state" (2023, Quarterly of Applied Mathematics)
  • "On Godunov's interesting class of systems - The symmetric hyperbolic Euler equations of gas dynamics" (2024, Journal of Computational Physics)

Frequent coauthors in their work are:

  • Maren Hantke
  • Christoph Matern
  • Hazem Yaghi
  • Matthias Kunik
  • Hailiang Liu

Warnecke has published regularly in venues such as:

  • arXiv (Cornell University)
  • Journal of Chromatography A
  • Journal of Computational and Applied Mathematics
  • Methods and Applications of Analysis
  • Quarterly of Applied Mathematics

Best Publications

  • Improved accuracy and convergence of discretized population balance for aggregation: The cell average technique

    J. Kumar;M. Peglow;G. Warnecke;S. Heinrich

  • Modeling phase transition for compressible two-phase flows applied to metastable liquids

    Ali Zein;Maren Hantke;Gerald Warnecke

  • The Riemann problem for the Baer-Nunziato two-phase flow model

    Nikolai Andrianov;Gerald Warnecke

  • A comparative study of high resolution schemes for solving population balances in crystallization

    Shamsul Qamar;Shamsul Qamar;M. P. Elsner;I. A. Angelov;Gerald Warnecke

  • Efficient and accurate numerical simulation of nonlinear chromatographic processes

    Shumaila Javeed;Shamsul Qamar;Shamsul Qamar;Andreas Seidel-Morgenstern;Andreas Seidel-Morgenstern;Gerald Warnecke

  • An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation

    Jitendra Kumar;Mirko Peglow;Gerald Warnecke;Stefan Heinrich

  • A direct Eulerian GRP scheme for compressible fluid flows

    Matania Ben-Artzi;Jiequan Li;Gerald Warnecke

  • Hybrid Stochastic and Deterministic Simulations of Calcium Blips

    S. Rüdiger;J.W. Shuai;W. Huisinga;Ch. Nagaiah

  • A posteriori error analysis for numerical approximations of Friedrichs systems

    Paul Houston;John A. Mackenzie;Endre Süli;Gerald Warnecke

  • Numerical solution of population balance equations for nucleation, growth and aggregation processes

    Shamsul Qamar;Gerald Warnecke

  • Evolution Galerkin methods for hyperbolic systems in two space dimensions

    M. Lukáčová-Medvid'ová;K. W. Morton;G. Warnecke

  • A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves

    Christiane Helzel;Randall J. Leveque;Gerald Warnecke

  • On the Solution to The Riemann Problem for the Compressible Duct Flow

    Gerald Warnecke;Nikolai Andrianov

  • Solving population balance equations for two-component aggregation by a finite volume scheme

    Shamsul Qamar;Gerald Warnecke

  • Finite volume evolution Galerkin methods for nonlinear hyperbolic systems

    M. Lukáčová-Medvid'ová;J. Saibertová;G. Warnecke

  • The cell average technique for solving multi-dimensional aggregation population balance equations

    Jitendra Kumar;Mirko Peglow;Gerald Warnecke;Stefan Heinrich

  • On the solution of population balances for nucleation, growth, aggregation and breakage processes

    Shamsul Qamar;Gerald Warnecke;Martin Peter Elsner

  • Adaptive high-resolution schemes for multidimensional population balances in crystallization processes

    Shamsul Qamar;Shamsul Qamar;A. Ashfaq;A. Ashfaq;Gerald Warnecke;I. A. Angelov

  • Error Estimates for a Combined Finite Volume--Finite Element Method for Nonlinear Convection--Diffusion Problems

    Miloslav Feistauer;Jirí Felcman;Mária Lukácová-Medvidová;Gerald Warnecke

  • Comparison of numerical methods for solving population balance equations incorporating aggregation and breakage

    J. Kumar;G. Warnecke;M. Peglow;S. Heinrich

  • High resolution schemes for solving population balances in crystallization

    S. Qamar;S. Qamar;M. P. Elsner;I. Angelov;G. Warnecke

Frequent Co-Authors

Andreas Seidel-Morgenstern
Andreas Seidel-Morgenstern Max Planck Society
Stefan Heinrich
Stefan Heinrich Hamburg University of Technology
Evangelos Tsotsas
Evangelos Tsotsas Otto-von-Guericke University Magdeburg
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Michael J. Hounslow
Michael J. Hounslow University of Sheffield
Endre Süli
Endre Süli University of Oxford
Ian Parker
Ian Parker University of California, Irvine
Paul Houston
Paul Houston University of Nottingham
Gavin P. Reynolds
Gavin P. Reynolds Sheffield Hallam University

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