World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
65
Citations
21926
World Ranking
382
National Ranking
205

David Colton 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 Colton 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: 291 publications — 84th percentile

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

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

David Colton 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 Colton 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: 65 D-Index — 90th percentile

90% 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

  • 2020 - SIAM Fellow For fundamental contributions to acoustic and electromagnetic scattering theory, and inverse problems in wave phenomena.

Overview

David Colton is affiliated with the University of Delaware in the United States. Their research primarily focuses on areas bridging mathematics and physics, specifically within the domains of mathematical physics and atomic and molecular physics, and optics.

The main fields of study covered in their work include:

  • Mathematics
  • Physics and Astronomy

Within these fields, their subfields of study encompass:

  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics
  • Biomedical Engineering
  • Computational Theory and Mathematics

The primary research topics they have addressed consist of:

  • Numerical methods in inverse problems
  • Electromagnetic Scattering and Analysis
  • Microwave Imaging and Scattering Analysis
  • Advanced Mathematical Modeling in Engineering

David Colton's publication record includes research articles as well as contributions to academic books. Their recent papers include:

  • A duality between scattering poles and transmission eigenvalues in scattering theory (2020), published in Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • Transmission Eigenvalues (2021), published in Notices of the American Mathematical Society

They have also contributed to book publications, including the following title:

  • Inverse Scattering Theory and Transmission Eigenvalues, Second Edition (2022), published by the Society for Industrial and Applied Mathematics

Frequent collaborators in their research have been:

  • Fioralba Cakoni
  • Houssem Haddar

Common venues where their work has been published include:

  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • Notices of the American Mathematical Society

David Colton received recognition as an SIAM Fellow in 2020 for contributions to acoustic and electromagnetic scattering theory and inverse problems in wave phenomena.

Best Publications

  • Inverse Acoustic and Electromagnetic Scattering Theory

    David L. Colton;Rainer Kress

  • Integral equation methods in scattering theory

    David L. Colton;Rainer Kress

  • A simple method for solving inverse scattering problems in the resonance region

    David L. Colton

  • Qualitative methods in inverse scattering theory : an introduction

    Fioralba Cakoni;David L. Colton

  • Recent Developments in Inverse Acoustic Scattering Theory

    David Colton;Joe Coyle;Peter Monk

  • The linear sampling method in inverse electromagnetic scattering theory

    David Colton;Houssem Haddar;Michele Piana

  • qualitative-methods-in-inverse-scattering-theory

    David L. Colton

  • A simple method using Morozov's discrepancy principle for solving inverse scattering problems

    David Colton;Michele Piana;Roland Potthast

  • A Qualitative Approach to Inverse Scattering Theory

    Fioralba Cakoni;David Colton

  • The Linear Sampling Method in Inverse Electromagnetic Scattering

    Fioralba Cakoni;David Colton;Peter Monk

  • Pseudoparabolic equations in one space variable

    David Colton;David Colton

  • THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM

    David Colton;Peter Monk

  • An Introduction to Inverse Scattering and Inverse Spectral Problems

    Khosrow Chadan;David Colton;Lassi Päivärinta;William Rundell

  • Inverse problems in partial differential equations

    David L. Colton;Richard E. Ewing;William Rundell

  • The interior transmission problem

    David Colton;Lassi Päivärinta;John Sylvester

  • A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region II

    David Colton;Peter Monk

  • Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data

    William Rundell;D. L. Colton

  • Uniqueness Theorems for the Inverse Problem of Acoustic Scattering

    David Colton;B. D. Sleeman

  • Inverse scattering theory and transmission eigenvalues

    Fioralba Cakoni;David Colton;Houssem Haddar

  • On the determination of Dirichlet or transmission eigenvalues from far field data

    Fioralba Cakoni;David Colton;Houssem Haddar

Frequent Co-Authors

Fioralba Cakoni
Fioralba Cakoni Rutgers, The State University of New Jersey
Peter Monk
Peter Monk University of Delaware
Rainer Kress
Rainer Kress University of Göttingen
Houssem Haddar
Houssem Haddar École Polytechnique
Andreas Kirsch
Andreas Kirsch Karlsruhe Institute of Technology
William Rundell
William Rundell Texas A&M University
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Richard E. Ewing
Richard E. Ewing Texas A&M University
Heinz W. Engl
Heinz W. Engl University of Vienna

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