World's Best Scientists 2026 revealed!
Vladimir Rokhlin

Vladimir Rokhlin

D-Index & Metrics

Mathematics

D-Index
61
Citations
31609
World Ranking
495
National Ranking
258

Vladimir Rokhlin 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 Vladimir Rokhlin 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: 147 publications — 36th percentile

36% of scientists in this discipline score the same or lower.

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

Vladimir Rokhlin 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 Vladimir Rokhlin 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: 61 D-Index — 86th percentile

86% 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

  • 2016 - Fellow of the American Academy of Arts and Sciences
  • 2009 - SIAM Fellow For creation of the Fast Multipole Method and other fast algorithms.
  • 2008 - Member of the National Academy of Engineering For the development of fast multipole algorithms and their application to electromagnetic and acoustic scattering.
  • 2001 - Steele Prize for Seminal Contribution to Research
  • 1999 - Member of the National Academy of Sciences

Overview

Vladimir Rokhlin is affiliated with Yale University in the United States and has a research focus spanning multiple fields, including engineering, physics and astronomy, and computer science. Their work is particularly concentrated in the subfields of atomic and molecular physics, and optics, electrical and electronic engineering, computational theory and mathematics, aerospace engineering, and biomedical engineering.

Their research covers several key topics, such as electromagnetic scattering and analysis, electromagnetic simulation and numerical methods, matrix theory and algorithms, microwave imaging and scattering analysis, polynomial and algebraic computation, image and signal denoising methods, and geophysical methods and applications.

Rokhlin has contributed to various publication venues, frequently appearing in arXiv (Cornell University) with eight publications, Applied and Computational Harmonic Analysis with two, as well as the Journal of Computational Physics, Advances in Computational Mathematics, and Contemporary Mathematics - American Mathematical Society.

Recent papers include:

  • Fullwave design of cm-scale cylindrical metasurfaces via fast direct solvers, 2023, arXiv (Cornell University)
  • On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates, 2022, Journal of Computational Physics
  • A fast simple algorithm for computing the potential of charges on a line, 2020, Applied and Computational Harmonic Analysis
  • A fast procedure for the construction of quadrature formulas for bandlimited functions, 2023, Applied and Computational Harmonic Analysis
  • Teaching mathematics to non-mathematicians, 2021, Contemporary Mathematics - American Mathematical Society

The scientist has collaborated frequently with several coauthors, including Kirill Serkh, James Garritano, Yuval Kluger, Jeremy G. Hoskins, and Abinand Gopal.

Awards received by Rokhlin include:

  • Fellow of the American Academy of Arts and Sciences, 2016
  • SIAM Fellow, 2009, for creation of the Fast Multipole Method and other fast algorithms
  • Member of the National Academy of Engineering, 2008, for the development of fast multipole algorithms and their application to electromagnetic and acoustic scattering
  • Steele Prize for Seminal Contribution to Research, 2001
  • Member of the National Academy of Sciences, 1999

Best Publications

  • A fast algorithm for particle simulations

    L. Greengard;V. Rokhlin

  • Fast wavelet transforms and numerical algorithms I

    G. Beylkin;R. Coifman;V. Rokhlin

  • Rapid solution of integral equations of classical potential theory

    V Rokhlin

  • The fast multipole method for the wave equation: a pedestrian prescription

    R. Coifman;V. Rokhlin;S. Wandzura

  • Fast Fourier transforms for nonequispaced data

    A. Dutt;V. Rokhlin

  • A new version of the Fast Multipole Method for the Laplace equation in three dimensions

    Leslie Greengard;Vladimir Rokhlin

  • Rapid solution of integral equations of scattering theory in two dimensions

    V. Rokhlin

  • A Fast Adaptive Multipole Algorithm for Particle Simulations

    J. Carrier;L. Greengard;V. Rokhlin;V. Rokhlin

  • Regular Article: A Fast Adaptive Multipole Algorithm in Three Dimensions

    H. Cheng;L. Greengard;V. Rokhlin

  • Randomized algorithms for the low-rank approximation of matrices

    Edo Liberty;Franco Woolfe;Per-Gunnar Martinsson;Vladimir Rokhlin

  • Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions

    V. Rokhlin

  • Wavelet-like bases for the fast solutions of second-kind integral equations

    B. Alpert;G. Beylkin;R. Coifman;V. Rokhlin

  • The fast multipole method (FMM) for electromagnetic scattering problems

    N. Engheta;W.D. Murphy;V. Rokhlin;M.S. Vassiliou

  • Spectral Deferred Correction Methods for Ordinary Differential Equations

    Alok Dutt;Leslie Greengard;Vladimir Rokhlin

  • A Randomized Algorithm for Principal Component Analysis

    Vladimir Rokhlin;Arthur Szlam;Mark Tygert

  • A randomized algorithm for the decomposition of matrices

    Per-Gunnar Martinsson;Vladimir Rokhlin;Mark Tygert

  • A fast randomized algorithm for the approximation of matrices ✩

    Unknown

  • Generalized Gaussian quadrature rules for systems of arbitrary functions

    J. Ma;V. Rokhlin;S. Wandzura

  • On the Compression of Low Rank Matrices

    H. Cheng;Z. Gimbutas;P. G. Martinsson;V. Rokhlin

  • A wideband fast multipole method for the Helmholtz equation in three dimensions

    Hongwei Cheng;William Y. Crutchfield;Zydrunas Gimbutas;Leslie F. Greengard

  • A randomized algorithm for the approximation of matrices

    Franco Woolfe;Edo Liberty;Vladimir Rokhlin;Mark Tygert

  • A Fast Algorithm for the Evaluation of Legendre Expansions.

    Bradley K. Alpert;Vladimir Rokhlin

Frequent Co-Authors

Leslie Greengard
Leslie Greengard New York University
Ronald R. Coifman
Ronald R. Coifman Yale University
Gregory Beylkin
Gregory Beylkin University of Colorado Boulder
Peter W. Jones
Peter W. Jones Yale University
Arthur Szlam
Arthur Szlam DeepMind (United Kingdom)
Nader Engheta
Nader Engheta University of Pennsylvania
Steven W. Zucker
Steven W. Zucker Yale University

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