World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
6254
World Ranking
2485
National Ranking
155

Engineering and Technology

D-Index
39
Citations
7473
World Ranking
7612
National Ranking
256

Rupert Klein 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 Rupert Klein 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: 229 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

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

Rupert Klein 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 Rupert Klein 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: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Overview

Rupert Klein is affiliated with Freie Universität Berlin in Germany. Their research spans multiple domains within engineering and physics, with a strong focus on computational and theoretical methods.

The main fields of study associated with Rupert Klein are:

  • Engineering
  • Physics and Astronomy

Their work further extends into prominent subfields including:

  • Computational Mechanics
  • Atomic and Molecular Physics, and Optics
  • Atmospheric Science
  • Global and Planetary Change
  • Aerospace Engineering

Rupert Klein's research covers several key topics:

  • Meteorological Phenomena and Simulations
  • Spectroscopy and Quantum Chemical Studies
  • Climate variability and models
  • Fluid Dynamics and Turbulent Flows
  • Computational Fluid Dynamics and Aerodynamics
  • Combustion and Detonation Processes
  • Wind and Air Flow Studies

The scientist has contributed to various publication venues, notably:

  • arXiv (Cornell University)
  • The Journal of Chemical Physics
  • Journal of Mathematical Physics
  • Refubium (Universitätsbibliothek der Freien Universität Berlin)
  • Advanced Theory and Simulations

Among recent papers are:

  • Theory and simulation of open systems out of equilibrium (2020, The Journal of Chemical Physics)
  • Thermodynamic Relations at the Coupling Boundary in Adaptive Resolution Simulations for Open Systems (2021, Refubium (Universitätsbibliothek der Freien Universität Berlin))
  • Fast optical absorption spectra calculations for periodic solid state systems (2020, Communications in Applied Mathematics and Computational Science)
  • Chemical diffusion master equation: Formulations of reaction-diffusion processes on the molecular level (2023, Journal of Mathematical Physics)
  • Particle-Continuum Coupling and its Scaling Regimes: Theory and Applications (2020, Advanced Theory and Simulations)

Frequent collaborators with whom Rupert Klein has coauthored multiple works include:

  • Luigi Delle Site
  • Maikel Nadolski
  • Felix Höfling
  • Patrick Gelß
  • Abhishek Harikrishnan

Best Publications

  • A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

    Emmanuel Audusse;François Bouchut;Marie-Odile Bristeau;Rupert Klein

  • Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics I: one-dimensional flow

    R. Klein

  • Towards a Formal Framework of Vulnerability to Climate Change

    Cezar Ionescu;Richard J. T. Klein;Jochen Hinkel;K. S. Kavi Kumar

  • Systematic Multiscale Models for the Tropics

    Andrew J. Majda;Rupert Klein

  • The extension of incompressible flow solvers to the weakly compressible regime

    C.-D. Munz;S. Roller;R. Klein;K.J. Geratz

  • Well balanced finite volume methods for nearly hydrostatic flows

    N. Botta;R. Klein;S. Langenberg;S. Lützenkirchen

  • Asymptotic adaptive methods for multi-scale problems in fluid mechanics

    R. Klein;R. Klein;N. Botta;T. Schneider;C.D. Munz

  • Scale-Dependent Models for Atmospheric Flows

    Rupert Klein

  • Viscous Vortical Flows

    Lu Ting;Rupert Klein

  • Simplified equations for the interaction of nearly parallel vortex filaments

    Rupert Klein;Andrew J. Majda;Kumaran Damodaran

  • A capturing - tracking hybrid scheme for deflagration discontinuities

    V. Smiljanovski;V. Moser;R. Klein

  • Numerical Simulation of a Thermoacoustic Refrigerator

    Aniruddha S. Worlikar;Omar M. Knio;Rupert Klein

  • Extension of Finite Volume Compressible Flow Solvers to Multi-dimensional, Variable Density Zero Mach Number Flows

    T. Schneider;T. Schneider;N. Botta;N. Botta;K.J. Geratz;R. Klein;R. Klein

  • Numerical Simulation of a Thermoacoustic Refrigerator: II. Stratified Flow around the Stack☆

    Aniruddha S. Worlikar;Omar M. Knio;Rupert Klein

  • Systematic multiscale models for deep convection on mesoscales

    Rupert Klein;Andrew J. Majda

  • Regular Article: Extension of Finite Volume Compressible Flow Solvers to Multi-dimensional, Variable Density Zero Mach Number Flows

    T. Schneider;N. Botta;K. J. Geratz;R. Klein

  • A Cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interfaces

    M. Oevermann;R. Klein

  • Asymptotic Analyses for Atmospheric Flows and the Construction of Asymptotically Adaptive Numerical Methods

    R. Klein

  • Dust in brown dwarfs - I. Dust formation under turbulent conditions on microscopic scales

    Ch. Helling;M. Oevermann;M. J. H. Lüttke;R. Klein;R. Klein

  • Self-stretching of a perturbed vortex filament I: the asymptotic equation for deviations from a straight line

    Rupert Klein;Andrew J. Majda

  • Towards a formal framework for vulnerability to climate change

    C. Ionescu;R.J.T. Klein;J. Hinkel;K.S. Kavi Kumar

Frequent Co-Authors

Omar M. Knio
Omar M. Knio King Abdullah University of Science and Technology
Andrew J. Majda
Andrew J. Majda Courant Institute of Mathematical Sciences
Claus-Dieter Munz
Claus-Dieter Munz University of Stuttgart
Edriss S. Titi
Edriss S. Titi Texas A&M University
Christian Oliver Paschereit
Christian Oliver Paschereit Technical University of Berlin
Uwe Ulbrich
Uwe Ulbrich Freie Universität Berlin
Jonas P. Moeck
Jonas P. Moeck Norwegian University of Science and Technology
Piotr K. Smolarkiewicz
Piotr K. Smolarkiewicz European Centre for Medium-Range Weather Forecasts
Kai Schneider
Kai Schneider Aix-Marseille University
Jochen Hinkel
Jochen Hinkel Humboldt-Universität zu Berlin

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