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Christian Klingenberg

Christian Klingenberg

Christian Klingenberg 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 Christian Klingenberg 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+

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

Christian Klingenberg 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 Christian Klingenberg 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+

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

Overview

Christian Klingenberg is affiliated with the University of Würzburg in Germany and has a strong research focus on engineering and mathematics, with an extensive publication record spanning these fields. Their work broadly encompasses computational mechanics and applied mathematics, with notable contributions to mathematical physics and astronomy and astrophysics. Numerical analysis also represents a significant subfield in their research portfolio.

The scientist's research topics include:

  • Computational Fluid Dynamics and Aerodynamics
  • Navier-Stokes equation solutions
  • Gas Dynamics and Kinetic Theory
  • Fluid Dynamics and Turbulent Flows
  • Advanced Mathematical Physics Problems
  • Advanced Numerical Methods in Computational Mathematics
  • Mathematical Biology Tumor Growth

Klingenberg has frequently published in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • SIAM Journal on Scientific Computing
  • Applied Mathematics Letters
  • Oberwolfach Reports

Recent papers include:

  • "On oscillatory solutions to the complete Euler system," 2020, Journal of Differential Equations
  • "An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity," 2020, Journal of Computational Physics
  • "Nonuniqueness of Admissible Weak Solution to the Riemann Problem for the Full Euler System in Two Dimensions," 2020, SIAM Journal on Mathematical Analysis
  • "Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers," 2021, Astronomy and Astrophysics
  • "Kinetic/Fluid Micro-Macro Numerical Scheme for a Two Component Gas Mixture," 2020, Multiscale Modeling and Simulation

The scientist collaborates frequently with peers including Wasilij Barsukow, Marlies Pirner, Qin Li, Yun-guang Lu, and Kathrin Hellmuth, reflecting a networked approach to multidisciplinary research.

Best Publications

  • Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior

    Christian Klingenberg;Nils Henrik Risebro

  • Front tracking and two dimensional Riemann problems

    James Glimm;Christian Klingenberg;Oliver Mcbryan;Bradley Plohr

  • A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests

    K. Waagan;C. Federrath;C. Klingenberg

  • A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework

    François Bouchut;Christian Klingenberg;Knut Waagan

  • A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves

    François Bouchut;Christian Klingenberg;Knut Waagan

  • High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes

    Elena Gaburro;Walter Boscheri;Simone Chiocchetti;Christian Klingenberg

  • A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity

    Praveen Chandrashekar;Christian Klingenberg

  • A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units

    R. Bürger;K. H. Karlsen;C. Klingenberg;N. H. Risebro

  • Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation

    Christian Klingenberg;Christian Klingenberg;Nils Henrik Risebro;Nils Henrik Risebro

  • Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement

    Kevin Schaal;Kevin Schaal;Andreas Bauer;Praveen Chandrashekar;Rüdiger Pakmor

  • Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes

    Praveen Chandrashekar;Christian Klingenberg

  • The Riemann Problem for the Multidimensional Isentropic System of Gas Dynamics is Ill-Posed if It Contains a Shock

    Simon Markfelder;Christian Klingenberg

  • High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws

    Jonas P. Berberich;Praveen Chandrashekar;Christian Klingenberg

  • A well-balanced scheme to capture non-explicit steady states in the Euler equations with gravity

    Vivien Desveaux;Markus Zenk;Christophe Berthon;Christian Klingenberg

  • On oscillatory solutions to the complete Euler system

    Eduard Feireisl;Christian Klingenberg;Ondřej Kreml;Simon Markfelder

  • Well-balanced schemes to capture non-explicit steady states: Ripa model

    Vivien Desveaux;Markus Zenk;Christophe Berthon;Christian Klingenberg

  • A relaxation scheme for conservation laws with a discontinuous coefficient

    Kenneth H. Karlsen;Christian Klingenberg;Nils Henrik Risebro

  • A consistent kinetic model for a two-component mixture with an application to plasma

    Christian Klingenberg;Marlies Pirner;Gabriella Puppo

  • The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock

    Christian Klingenberg;Simon Markfelder

  • A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics

    Wasilij Barsukow;Philipp V. F. Edelmann;Christian Klingenberg;Fabian Miczek

Frequent Co-Authors

Volker Springel
Volker Springel Max Planck Institute for Astrophysics
Nils Henrik Risebro
Nils Henrik Risebro University of Oslo
Mordecai-Mark Mac Low
Mordecai-Mark Mac Low American Museum of Natural History
Christoph Federrath
Christoph Federrath Australian National University
Kenneth H. Karlsen
Kenneth H. Karlsen University of Oslo
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Michael Dumbser
Michael Dumbser University of Trento
Kenneth Wood
Kenneth Wood University of St Andrews
François Bouchut
François Bouchut Université Gustave Eiffel

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