World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
32
Citations
6255
World Ranking
3131
National Ranking
1254

David Hoff 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 David Hoff 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: 69 publications — 2nd percentile

2% of scientists in this discipline score the same or lower.

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

David Hoff 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 David Hoff 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

David Hoff is a researcher affiliated with Indiana University in the United States with publications spanning mathematics, medicine, and computer science. Their research notably includes work in advanced mathematical modeling, differential equations, pharmaceutical studies, and computational theory.

The scientist's recent publications include the following papers:

  • "Key Potentially Inappropriate Drugs in Pediatrics: The KIDs List," 2020, The Journal of Pediatric Pharmacology and Therapeutics
  • "Intrathecal Methotrexate Containing the Preservative Benzyl Alcohol Erroneously Administered in Pediatric Leukemia Patients: Clinical Course and Preventive Process," 2020, The Journal of Pediatric Pharmacology and Therapeutics
  • "Pointwise bounds for the Green's function for the Neumann-Laplace operator in ³," 2021, Kinetic and Related Models
  • "Cancellation Properties and Pointwise Bounds for the Green's Functions for the Laplace Operator," 2024, arXiv (Cornell University)
  • "Cancellation properties and pointwise bounds for the Green's functions for the Laplace operator," 2025, Journal of Differential Equations

Frequent coauthors in David Hoff's work include:

  • Rachel Meyers
  • Jennifer Thackray
  • Kelly L. Matson
  • Christopher McPherson
  • Lisa Lubsch

The main publication venues where their work appears are:

  • The Journal of Pediatric Pharmacology and Therapeutics
  • Kinetic and Related Models
  • arXiv (Cornell University)
  • Journal of Differential Equations

Their research spans several fields and subfields, including:

  • Mathematics
  • Medicine
  • Computer Science

  • Computational Theory and Mathematics
  • Pediatrics, Perinatology and Child Health
  • Applied Mathematics
  • Mathematical Physics
  • Numerical Analysis

The work covers multiple key topics such as:

  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Boundary Problems
  • Pharmaceutical studies and practices
  • Differential Equations and Numerical Methods
  • Spectral Theory in Mathematical Physics
  • Anesthesia and Sedative Agents
  • Pharmacological Effects and Toxicity Studies

Best Publications

  • Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data

    D. Hoff

  • LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS*

    Edward Conway;David Hoff;Joel Smoller

  • Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow

    David Hoff;Kevin Zumbrun

  • Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data

    David Hoff

  • Discontinuous Solutions of the Navier-Stokes Equations for Multidimensional Flows of Heat-Conducting Fluids

    David Hoff

  • Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data

    David Hoff

  • The failure on continuous dependence on initial data for the Navier-Stokes equations of compressible flow

    David Hoff;Denis Serre

  • Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves

    David Hoff;Kevin Zumbrun

  • Compressible Flow in a Half-Space with Navier Boundary Conditions

    David Hoff

  • Uniqueness and continuous dependence of weak solutions in compressible magnetohydrodynamics

    David Hoff;Eugene Tsyganov

  • Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions

    David Hoff

  • Non-Formation of Vacuum States for Compressible Navier–Stokes Equations

    David Hoff;Joel Smoller

  • Global solutions of the compressible navier-stokes equations with larger discontinuous initial data

    Gui-Qiang Chen;David Hoff;Konstantina Trivisa

  • Uniqueness of Weak Solutions of the Navier--Stokes Equations of Multidimensional, Compressible Flow

    David Hoff

  • THE ZERO-MACH LIMIT OF COMPRESSIBLE FLOWS

    David Hoff

  • Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data

    David Hoff

  • Solutions in the large for certain nonlinear parabolic systems

    David Hoff;Joel Smoller

  • Invariant regions for systems of conservation laws

    David Hoff

  • Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data

    Gui-Qiang Chen;David Hoff;Konstantina Trivisa

  • Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data

    David Hoff

Frequent Co-Authors

Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Kevin Zumbrun
Kevin Zumbrun Indiana University
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford

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