World's Best Scientists 2026 revealed!
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Mathematics
Saudi Arabia
2026

D-Index & Metrics

Mathematics

D-Index
59
Citations
18104
World Ranking
581
National Ranking
6

Peter A. Markowich 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 Peter A. Markowich 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: 233 publications — 73rd percentile

73% of scientists in this discipline score the same or lower.

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

Peter A. Markowich 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 Peter A. Markowich 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: 59 D-Index — 84th percentile

84% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in Saudi Arabia Leader Award
  • 2025 - Research.com Mathematics in Saudi Arabia Leader Award

Overview

Peter A. Markowich is affiliated with King Abdullah University of Science and Technology in Saudi Arabia. Their research primarily focuses on the field of engineering, with significant contributions in biomedical engineering, modeling and simulation, and molecular biology. Additional subfields include statistical and nonlinear physics as well as computational theory and mathematics.

Their work covers a range of specialized topics, including:

  • Slime Mold and Myxomycetes Research
  • Mathematical Biology Tumor Growth
  • Gene Regulatory Network Analysis
  • Advanced Mathematical Modeling in Engineering
  • Protein Structure and Dynamics
  • Particle physics theoretical and experimental studies
  • Distributed and Parallel Computing Systems

Peter A. Markowich has published in various scholarly venues. Their frequent publication outlets include:

  • arXiv (Cornell University)
  • Communications on Applied Mathematics and Computation
  • Lecture notes series, Institute For Mathematical Sciences
  • SciPost Physics
  • Journal of Differential Equations

Significant book publications appear in the Lecture notes series by the Institute For Mathematical Sciences, where they authored two titles in 2022:

  • Models and Methods for Quantum Condensation and Fluids
  • Modeling and Simulation for Collective Dynamics

Their recent papers demonstrate a multidisciplinary approach spanning physics, biology, and computational mathematics. Selected works include:

  • "Reinterpretation of LHC Results for New Physics: Status and recommendations after Run 2" (2020), published in SciPost Physics
  • "Selection dynamics for deep neural networks" (2020), published in Journal of Differential Equations
  • "Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks" (2020), published in SMAI Journal of Computational Mathematics
  • "Emergence of biological transportation networks as a self-regulated process" (2022), published in Discrete and Continuous Dynamical Systems
  • "Tensor PDE model of biological network formation" (2022), published in Communications in Mathematical Sciences

Collaboratively, Peter A. Markowich has worked frequently with several coauthors, including:

  • Jan Haškovec
  • Simone Portaro
  • Clarissa Astuto
  • Daniele Boffi
  • Weizhu Bao

Best Publications

  • Semiconductor equations

    Peter A. Markowich;Christian A. Ringhofer;Christian Schmeiser

  • A system of convection—diffusion equations with small diffusion coefficient arising in semiconductor physics

    Peter A Markowich;Peter Szmolyan

  • The Stationary Semiconductor Device Equations

    Peter A. Markowich

  • Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation

    Weizhu Bao;Dieter Jaksch;Peter A. Markowich

  • Homogenization limits and Wigner transforms

    Patrick Gérard;Peter A. Markowich;Norbert J. Mauser;Frédéric Poupaud

  • ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

    Anton Arnold;Peter Markowich;Giuseppe Toscani;Andreas Unterreiter

  • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

    Weizhu Bao;Shi Jin;Peter A. Markowich

  • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

    J. A. Carrillo;A. Jüngel;P. A. Markowich;G. Toscani

  • Global Solutions to the Coupled Chemotaxis-Fluid Equations

    Renjun Duan;Alexander Lorz;Peter A. Markowich

  • Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

    Fabio A. C. C. Chalub;Peter A. Markowich;Benoît Perthame;Christian Schmeiser

  • Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

    Weizhu Bao;Shi Jin;Peter A. Markowich

  • Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior

    Marco Di Francesco;Alexander Lorz;Peter A. Markowich

  • Semiconductor device modelling from the numerical point of view

    SJ Polak;C den Heijer;Wha Wil Schilders;P Markowich

  • On a one-dimensional steady-state hydrodynamic model for semiconductors

    P. Degond;P.A. Markowich

  • Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders

    Bertram Düring;Peter Markowich;Peter Markowich;Jan-Frederik Pietschmann;Marie-Therese Wolfram

  • Quantum hydrodynamics, Wigner transforms, the classical limit

    Ingenuin Gasser;Peter A. Markowich

  • ON THE TREND TO EQUILIBRIUM FOR THE FOKKER-PLANCK EQUATION : AN INTERPLAY BETWEEN PHYSICS AND FUNCTIONAL ANALYSIS

    P. A. Markowich;C. Villani

  • The three-dimensional Wigner-Poisson problem: existence, uniqueness and approximation

    Franco Brezzi;Peter A. Markowich

  • Mathematical and computational methods for semiclassical Schrödinger equations

    Shi Jin;Peter A. Markowich;Christof Sparber

  • A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential

    P. A. Markowich;N. J. Mauser;F. Poupaud

Frequent Co-Authors

Christian Schmeiser
Christian Schmeiser University of Vienna
Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Weizhu Bao
Weizhu Bao National University of Singapore
Giuseppe Toscani
Giuseppe Toscani University of Pavia
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
José A. Carrillo
José A. Carrillo University of Oxford
Martin Burger
Martin Burger University of Erlangen-Nuremberg
Shi Jin
Shi Jin Shanghai Jiao Tong University
Michael Renardy
Michael Renardy Virginia Tech

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