World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
5904
World Ranking
2497
National Ranking
1042

William Rundell 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 William Rundell 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: 121 publications — 21st percentile

21% of scientists in this discipline score the same or lower.

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

William Rundell 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 William Rundell 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: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Overview

William Rundell is affiliated with Texas A&M University in the United States. The primary focus of their research lies in the fields of mathematics and engineering, with significant engagement in mathematical physics, modeling and simulation, applied mathematics, numerical analysis, and computational theory and mathematics.

Their work contributes to a range of topics including numerical methods in inverse problems, fractional differential equations solutions, advanced mathematical modeling in engineering, differential equations and numerical methods, differential equations and boundary problems, stability and controllability of differential equations, and thermoelastic and magnetoelastic phenomena.

William Rundell has published extensively, with 46 works in mathematics and 12 in engineering. Their research output also includes contributions to key publication venues such as Inverse Problems, arXiv (Cornell University), Applicable Analysis, Journal of Mathematical Analysis and Applications, and SIAM Journal on Mathematical Analysis.

  • Inverse Problems
  • arXiv (Cornell University)
  • Applicable Analysis
  • Journal of Mathematical Analysis and Applications
  • SIAM Journal on Mathematical Analysis

Frequent collaborators include Barbara Kaltenbacher, Masahiro Yamamoto, Zhidong Zhang, Isaac Harris, and Bastian Harrach, with Barbara Kaltenbacher being the most frequent coauthor.

  • Barbara Kaltenbacher
  • Masahiro Yamamoto
  • Zhidong Zhang
  • Isaac Harris
  • Bastian Harrach

Among William Rundell's recent publications are:

  • On the Identification of Source Term in the Heat Equation from Sparse Data, 2020, SIAM Journal on Mathematical Analysis
  • Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions, 2021, Applicable Analysis

Their research interest includes inverse problems for differential equations with fractional derivatives, often investigating uniqueness and damping terms in wave and diffusion equations.

William Rundell has also contributed to academic literature as an author of a book published by the American Mathematical Society titled Inverse Problems for Fractional Partial Differential Equations, published in 2023.

Best Publications

  • A tutorial on inverse problems for anomalous diffusion processes

    Bangti Jin;William Rundell

  • Reconstruction techniques for classical inverse Sturm-Liouville problems

    William Rundell;Paul E. Sacks

  • 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

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

    Rainer Kress;William Rundell

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

    William Rundell;D. L. Colton

  • An inverse problem for a one-dimensional time-fractional diffusion problem

    Bangti Jin;William Rundell

  • Variational formulation of problems involving fractional order differential operators

    Bangti Jin;Bangti Jin;Raytcho D. Lazarov;Joseph E. Pasciak;William Rundell

  • The determination of a discontinuity in a conductivity from a single boundary measurement

    Frank Hettlich;William Rundell

  • Iterative methods for the reconstruction of an inverse potential problem

    Frank Hettlich;William Rundell

  • Strong maximum principle for fractional diffusion equations and an application to an inverse source problem

    Yikan Liu;William Rundell;Masahiro Yamamoto

  • Inverse scattering for shape and impedance

    Rainer Kress;William Rundell

  • The reconstruction of Sturm-Liouville operators

    W Rundell;P E Sacks

  • Unicity in an Inverse Problem for an Unknown Reaction Term in a Reaction-Diffusion Equation

    Paul DuChateau;William Rundell

  • 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

  • An Inverse problem for a nonlinear parabolic equation

    Michael S. Pilant;William Rundell

  • A Second Degree Method for Nonlinear Inverse Problems

    F. Hettlich;W. Rundell

  • Surveys on solution methods for inverse problems

    David Colton;Heinz W. Engl;Alfred K. Louis;Joyce R. McLaughlin

  • Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation

    Yuri Luchko;William Rundell;Masahiro Yamamoto;Lihua Zuo

Frequent Co-Authors

Barbara Kaltenbacher
Barbara Kaltenbacher University of Klagenfurt
Rainer Kress
Rainer Kress University of Göttingen
Bangti Jin
Bangti Jin Chinese University of Hong Kong
Heinz W. Engl
Heinz W. Engl University of Vienna
David Colton
David Colton University of Delaware
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Joseph E. Pasciak
Joseph E. Pasciak Texas A&M University
John Rozier Cannon
John Rozier Cannon University of Central Florida
Otmar Scherzer
Otmar Scherzer University of Vienna

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