World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
6456
World Ranking
2332
National Ranking
987

Paul A. Martin 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 Paul A. Martin 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: 183 publications — 55th percentile

55% of scientists in this discipline score the same or lower.

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

Paul A. Martin 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 Paul A. Martin 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Overview

Paul A. Martin is a researcher affiliated with the Colorado School of Mines in the United States. Their work spans multiple domains within engineering and physics, with a primary focus on acoustic wave propagation and scattering phenomena.

Their research contributions are distributed across a variety of topics including:

  • Ultrasonics and Acoustic Wave Propagation
  • Acoustic Wave Phenomena Research
  • Numerical Methods in Engineering
  • Underwater Acoustics Research
  • Electromagnetic Scattering and Analysis
  • Seismic Waves and Analysis
  • Experimental and Theoretical Physics Studies

Paul A. Martin's main fields of study include Engineering with 29 publications and Physics and Astronomy with 15 publications. Within these broad fields, they have produced work in several subfields such as:

  • Mechanics of Materials
  • Atomic and Molecular Physics, and Optics
  • Biomedical Engineering
  • Statistical and Nonlinear Physics
  • Mathematical Physics

The researcher has published in numerous specialized venues. Frequent publication outlets include:

  • Wave Motion (5 publications)
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (3 publications)
  • Mathematical Methods in the Applied Sciences (3 publications)
  • The Journal of the Acoustical Society of America (2 publications)
  • Quarterly of Applied Mathematics (2 publications)

Notable recent papers include:

  • "Scattering by a sphere in a tube, and related problems" (2020, The Journal of the Acoustical Society of America)
  • "On blockage coefficients: flow past a body in a pipe" (2022, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences)
  • "Dynamic response of an infinite thin plate loaded with concentrated masses" (2020, Wave Motion)
  • "On acoustic scattering of beams" (2022, Wave Motion)
  • "On Fourier-Bessel series and the Kneser-Sommerfeld expansion" (2021, Mathematical Methods in the Applied Sciences)

Collaborations have been established with several researchers, with frequent coauthors including Alexei T. Skvortsov, Leandro Fariña, Guillaume Lang, Andrew J. Hull, and Blandine Becard.

Aside from articles, Paul A. Martin has contributed to book publications, including a title published by Cambridge University Press: Time-Domain Scattering (2021).

Best Publications

  • Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles

    Paul A. Martin

  • Reflection and transmission from porous structures under oblique wave attack

    Robert A. Dalrymple;Miguel A. Losada;P. A. Martin

  • The method of fundamental solutions for scattering and radiation problems

    Graeme Fairweather;Andreas Karageorghis;P.A. Martin

  • On single integral equations for the transmission problem of acoustics

    R. E. Kleinman;P. A. Martin

  • On Boundary Integral Equations for Crack Problems

    P. A. Martin;F. J. Rizzo

  • HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?

    P. A. Martin;F. J. Rizzo

  • Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber

    Christopher Linton;P.A. Martin

  • Fluid-solid interaction: acoustic scattering by a smooth elastic obstacle

    C. J. Luke;P. A. Martin

  • Scattering of water waves by submerged plates using hypersingular integral equations

    N.F. Parsons;P.A. Martin

  • WAVE DIFFRACTION THROUGH OFFSHORE BREAKWATERS

    Robert A. Dalrymple;Paul A. Martin

  • Diffraction of Elastic Waves by a Penny-Shaped Crack: Analytical and Numerical Results

    P. A. Martin;G. R. Wickham

  • Radiation of water waves by a heaving submerged horizontal disc

    P. A. Martin;Leandro Farina

  • Scattering of water waves by submerged curved plates and by surface-piercing flat plates

    N.F. Parsons;P.A. Martin

  • On Green's function for a three-dimensional exponentially graded elastic solid

    P. A. Martin;J. D. Richardson;L. J. Gray;J. R. Berger

  • ON THE NULL-FIELD EQUATIONS FOR THE EXTERIOR PROBLEMS OF ACOUSTICS

    P. A. Martin

  • Discrete scattering theory : Green's function for a square lattice

    P.A. Martin

  • Exact Solution of a Simple Hypersingular Integral Equation

    P.A. Martin

  • Boundary integral equations for the scattering of electromagnetic waves by a homogeneous dielectric obstacle

    P. A. Martin;Petri Ola

  • End-Point Behaviour of Solutions to Hypersingular Integral Equations

    P. A. Martin

  • Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers

    P. A. Martin

Frequent Co-Authors

Wendy Thomson
Wendy Thomson University of Manchester
Anne Hinks
Anne Hinks University of Manchester
Soumya Raychaudhuri
Soumya Raychaudhuri Brigham and Women's Hospital
Anne Barton
Anne Barton University of Manchester
Jane Worthington
Jane Worthington University of Manchester
Robert A. Dalrymple
Robert A. Dalrymple Johns Hopkins University
Ann W. Morgan
Ann W. Morgan University of Leeds
Anthony G. Wilson
Anthony G. Wilson University College Dublin
Robert M. Plenge
Robert M. Plenge Bristol Myers Squibb
Lynne J. Hocking
Lynne J. Hocking University of Aberdeen

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