World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
59
Citations
17472
World Ranking
583
National Ranking
27

Rainer Kress 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 Rainer Kress 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: 200 publications — 62nd percentile

62% of scientists in this discipline score the same or lower.

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

Rainer Kress 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 Rainer Kress 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.

Overview

Rainer Kress is affiliated with the University of Göttingen in Germany and conducts research primarily in the fields of engineering and physics and astronomy. Their work spans several subfields including electrical and electronic engineering, atomic and molecular physics and optics, aerospace engineering, and biomedical engineering.

The main areas of focus in their research include electromagnetic simulation and numerical methods, electromagnetic scattering and analysis, advanced antenna and metasurface technologies, and microwave imaging and scattering analysis.

Rainer Kress has published papers in notable scientific venues, including:

  • Journal of Mathematical Analysis and Applications
  • SIAM Journal on Mathematical Analysis

Recent publications provide insight into Kress's research directions. These include:

  • "The vector Helmholtz equation revisited: Inverse obstacle scattering," published in 2022 in the Journal of Mathematical Analysis and Applications
  • "The DB Boundary Condition in Electromagnetic Scattering Revisited," published in 2021 in the SIAM Journal on Mathematical Analysis

The scientist's research topics focus on theoretical and applied aspects of electromagnetic phenomena, specifically addressing problems related to scattering and wave propagation. This involves the development and refinement of mathematical models and simulation techniques to analyze complex electromagnetic environments.

Best Publications

  • Inverse Acoustic and Electromagnetic Scattering Theory

    David L. Colton;Rainer Kress

  • Integral equation methods in scattering theory

    David L. Colton;Rainer Kress

  • On the numerical solution of a hypersingular integral equation in scattering theory

    Rainer Kress

  • A Nyström method for boundary integral equations in domains with corners

    Rainer Kress

  • Uniqueness in inverse obstacle scattering (acoustics)

    A Kirsch;R Kress

  • Inverse scattering from an open arc

    Rainer Kress

  • Nonlinear integral equations and the iterative solution for an inverse boundary value problem

    Rainer Kress;William Rundell

  • Transmission problems for the Helmholtz equation

    R. Kress;G. F. Roach

  • UNIQUENESS IN INVERSE OBSTACLE SCATTERING

    Rainer Kress

  • Using fundamental solutions in inverse scattering

    David Colton;Rainer Kress

  • Newton’s method for inverse obstacle scattering meets the method of least squares

    Rainer Kress

  • Inverse scattering for shape and impedance

    Rainer Kress;William Rundell

  • Ill-Posed Problems

    David Colton;Rainer Kress

  • On the far‐field operator in elastic obstacle scattering

    Carlos J. S. Alves;Rainer Kress

  • On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces

    David Colton;Rainer Kress

  • Identification of sound-soft 3D obstacles from phaseless data

    Olha Ivanyshyn;Rainer Kress

  • A quasi-Newton method in inverse obstacle scattering

    R Kress;W Rundell

  • Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data

    Rainer Kress;William Rundell

  • On the numerical solution of an inverse boundary value problem for the heat equation

    Roman Chapko;Rainer Kress;Jeong-Rock Yoon

  • Integral equations for inverse problems in corrosion detection from partial Cauchy data

    Fioralba Cakoni;Rainer Kress

Frequent Co-Authors

David Colton
David Colton University of Delaware
Fioralba Cakoni
Fioralba Cakoni Rutgers, The State University of New Jersey
William Rundell
William Rundell Texas A&M University
Houssem Haddar
Houssem Haddar École Polytechnique
Ian H. Sloan
Ian H. Sloan University of New South Wales
Patrick Joly
Patrick Joly École Nationale Supérieure de Techniques Avancées
Lars Mönch
Lars Mönch University of Hagen
Peter Monk
Peter Monk University of Delaware
Patrick Ciarlet
Patrick Ciarlet École Nationale Supérieure de Techniques Avancées

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