World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
71
Citations
65365
World Ranking
252
National Ranking
139

Tosio Kato 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 Tosio Kato 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: 138 publications — 31st percentile

31% of scientists in this discipline score the same or lower.

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

Tosio Kato 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 Tosio Kato 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: 71 D-Index — 93rd percentile

93% 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

  • 1980 - Norbert Wiener Prize in Applied Mathematics

Overview

Tosio Kato was a researcher primarily affiliated with the University of California, Berkeley in the United States. Their work contributed to the field of computer science with a focus on computational theory and mathematics. The research topics largely involved advanced mathematical modeling in engineering.

The publications by Tosio Kato include the paper titled Extension and Representation of Divergence-free Vector Fields on Bounded Domains, published in 2021 at UNC Libraries. This paper has received citations that reflect its academic engagement.

  • Extension and Representation of Divergence-free Vector Fields on Bounded Domains (2021, UNC Libraries)

Kato collaborated frequently with other researchers, including:

  • Marius Mitrea
  • Gustavo Ponce
  • Michael Taylor

Their work was mainly published in UNC Libraries, indicating a focused dissemination channel.

  • UNC Libraries

Their contributions spanned the field of computer science with specialization in computational theory and mathematics.

  • Computer Science

  • Computational Theory and Mathematics

Areas of research concentrated on advanced mathematical modeling in engineering, as reflected in multiple publications covering this topic.

  • Advanced Mathematical Modeling in Engineering

Among awards, Tosio Kato was recognized with the Norbert Wiener Prize in Applied Mathematics in 1980.

Best Publications

  • Perturbation theory for linear operators

    Tosio Kato

  • Commutator estimates and the euler and navier‐stokes equations

    Tosio Kato;Gustavo Ponce

  • Strong LP-solutions of the Navier-Stokes equation in Rm, with applications to weak solutions

    Tosio Kato

  • Remarks on the breakdown of smooth solutions for the 3- D Euler equations

    J. T. Beale;T. Kato;A. Majda

  • On the Navier-Stokes initial value problem. I

    Unknown

  • On the Adiabatic Theorem of Quantum Mechanics

    Tosio Kato

  • The Cauchy problem for quasi-linear symmetric hyperbolic systems

    Tosio Kato

  • Quasi-linear equations of evolution, with applications to partial differential equations

    Tosio Kato

  • Nonlinear semigroups and evolution equations

    Tosio Kato

  • Spectral properties of Schrödinger operators and time-decay of the wave functions

    Arne Jensen;Tosio Kato

  • On the Eigenfunctions of Many-Particle Systems in Quantum Mechanics

    Tosio Kato

  • Nonstationary flows of viscous and ideal fluids in R3

    Tosio Kato

  • Perturbation theory for nullity, deficiency and other quantities of linear operators

    Tosio Kato

  • Linear evolution equations of ``hyperbolic'' type, II

    Tosio Kato

  • Fundamental properties of Hamiltonian operators of Schrödinger type

    Tosio Kato

  • Growth properties of solutions of the reduced wave equation with a variable coefficient

    Tosio Kato

  • On classical solutions of the two-dimensional non-stationary Euler equation

    Tosio Kato

  • A Short Introduction to Perturbation Theory for Linear Operators

    Tosio Kato

  • Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity

    Thomas J. R. Hughes;Thomas J. R. Hughes;Tosio Kato;Tosio Kato;Jerrold E. Marsden;Jerrold E. Marsden

  • Fractional powers of dissipative operators

    Tosio Kato

  • On the Korteweg-de Vries equation

    Tosio Kato

  • Wave operators and similarity for some non-selfadjoint operators

    Unknown

Frequent Co-Authors

Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Joel E. Cohen
Joel E. Cohen Rockefeller University
Frank Kelly
Frank Kelly University of Cambridge
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Marius Mitrea
Marius Mitrea Baylor University
Michael Taylor
Michael Taylor University of North Carolina at Chapel Hill

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